id sid tid token lemma pos cord-030686-wv77zwsc 1 1 key key JJ cord-030686-wv77zwsc 1 2 : : : cord-030686-wv77zwsc 1 3 cord-030686-wv77zwsc cord-030686-wv77zwsc NN cord-030686-wv77zwsc 1 4 authors author NNS cord-030686-wv77zwsc 1 5 : : : cord-030686-wv77zwsc 1 6 Budde Budde NNP cord-030686-wv77zwsc 1 7 , , , cord-030686-wv77zwsc 1 8 Carlos Carlos NNP cord-030686-wv77zwsc 1 9 E. E. NNP cord-030686-wv77zwsc 1 10 title title NN cord-030686-wv77zwsc 1 11 : : : cord-030686-wv77zwsc 1 12 FIG fig NN cord-030686-wv77zwsc 1 13 : : : cord-030686-wv77zwsc 2 1 The the DT cord-030686-wv77zwsc 2 2 Finite Finite NNP cord-030686-wv77zwsc 2 3 Improbability Improbability NNP cord-030686-wv77zwsc 2 4 Generator Generator NNP cord-030686-wv77zwsc 2 5 date date NN cord-030686-wv77zwsc 2 6 : : : cord-030686-wv77zwsc 2 7 2020 2020 CD cord-030686-wv77zwsc 2 8 - - HYPH cord-030686-wv77zwsc 2 9 03 03 CD cord-030686-wv77zwsc 2 10 - - SYM cord-030686-wv77zwsc 2 11 13 13 CD cord-030686-wv77zwsc 2 12 journal journal NN cord-030686-wv77zwsc 2 13 : : : cord-030686-wv77zwsc 2 14 Tools tool NNS cord-030686-wv77zwsc 2 15 and and CC cord-030686-wv77zwsc 2 16 Algorithms Algorithms NNP cord-030686-wv77zwsc 2 17 for for IN cord-030686-wv77zwsc 2 18 the the DT cord-030686-wv77zwsc 2 19 Construction Construction NNP cord-030686-wv77zwsc 2 20 and and CC cord-030686-wv77zwsc 2 21 Analysis Analysis NNP cord-030686-wv77zwsc 2 22 of of IN cord-030686-wv77zwsc 2 23 Systems Systems NNP cord-030686-wv77zwsc 2 24 DOI DOI NNP cord-030686-wv77zwsc 2 25 : : : cord-030686-wv77zwsc 3 1 10.1007/978 10.1007/978 LS cord-030686-wv77zwsc 3 2 - - SYM cord-030686-wv77zwsc 3 3 3 3 CD cord-030686-wv77zwsc 3 4 - - HYPH cord-030686-wv77zwsc 3 5 030 030 CD cord-030686-wv77zwsc 3 6 - - HYPH cord-030686-wv77zwsc 3 7 45190 45190 CD cord-030686-wv77zwsc 3 8 - - HYPH cord-030686-wv77zwsc 3 9 5_27 5_27 CD cord-030686-wv77zwsc 3 10 sha sha NNP cord-030686-wv77zwsc 3 11 : : : cord-030686-wv77zwsc 3 12 e07fb8e58c98e271f56721381481d8ad8cbf42fa e07fb8e58c98e271f56721381481d8ad8cbf42fa NNS cord-030686-wv77zwsc 3 13 doc_id doc_id CD cord-030686-wv77zwsc 3 14 : : : cord-030686-wv77zwsc 3 15 30686 30686 CD cord-030686-wv77zwsc 3 16 cord_uid cord_uid NNS cord-030686-wv77zwsc 3 17 : : : cord-030686-wv77zwsc 3 18 wv77zwsc wv77zwsc NNP cord-030686-wv77zwsc 4 1 This this DT cord-030686-wv77zwsc 4 2 paper paper NN cord-030686-wv77zwsc 4 3 introduces introduce VBZ cord-030686-wv77zwsc 4 4 the the DT cord-030686-wv77zwsc 4 5 statistical statistical JJ cord-030686-wv77zwsc 4 6 model model NN cord-030686-wv77zwsc 4 7 checker checker NN cord-030686-wv77zwsc 4 8 FIGV FIGV NNP cord-030686-wv77zwsc 4 9 , , , cord-030686-wv77zwsc 4 10 that that WDT cord-030686-wv77zwsc 4 11 estimates estimate VBZ cord-030686-wv77zwsc 4 12 transient transient JJ cord-030686-wv77zwsc 4 13 and and CC cord-030686-wv77zwsc 4 14 steady steady JJ cord-030686-wv77zwsc 4 15 - - HYPH cord-030686-wv77zwsc 4 16 state state NN cord-030686-wv77zwsc 4 17 reachability reachability NN cord-030686-wv77zwsc 4 18 properties property NNS cord-030686-wv77zwsc 4 19 in in IN cord-030686-wv77zwsc 4 20 stochastic stochastic JJ cord-030686-wv77zwsc 4 21 automata automaton NNS cord-030686-wv77zwsc 4 22 . . . cord-030686-wv77zwsc 5 1 This this DT cord-030686-wv77zwsc 5 2 software software NN cord-030686-wv77zwsc 5 3 tool tool NN cord-030686-wv77zwsc 5 4 specialises specialise VBZ cord-030686-wv77zwsc 5 5 in in IN cord-030686-wv77zwsc 5 6 Rare Rare NNP cord-030686-wv77zwsc 5 7 Event Event NNP cord-030686-wv77zwsc 5 8 Simulation Simulation NNP cord-030686-wv77zwsc 5 9 via via IN cord-030686-wv77zwsc 5 10 importance importance NN cord-030686-wv77zwsc 5 11 splitting splitting NN cord-030686-wv77zwsc 5 12 , , , cord-030686-wv77zwsc 5 13 and and CC cord-030686-wv77zwsc 5 14 implements implement VBZ cord-030686-wv77zwsc 5 15 the the DT cord-030686-wv77zwsc 5 16 algorithms algorithm NNS cord-030686-wv77zwsc 5 17 RESTART restart VBP cord-030686-wv77zwsc 5 18 and and CC cord-030686-wv77zwsc 5 19 Fixed Fixed NNP cord-030686-wv77zwsc 5 20 Effort Effort NNP cord-030686-wv77zwsc 5 21 . . . cord-030686-wv77zwsc 6 1 FIG fig NN cord-030686-wv77zwsc 6 2 is be VBZ cord-030686-wv77zwsc 6 3 push push NN cord-030686-wv77zwsc 6 4 - - HYPH cord-030686-wv77zwsc 6 5 button button NN cord-030686-wv77zwsc 6 6 automatic automatic NN cord-030686-wv77zwsc 6 7 since since IN cord-030686-wv77zwsc 6 8 the the DT cord-030686-wv77zwsc 6 9 user user NN cord-030686-wv77zwsc 6 10 need nee MD cord-030686-wv77zwsc 6 11 not not RB cord-030686-wv77zwsc 6 12 define define VB cord-030686-wv77zwsc 6 13 an an DT cord-030686-wv77zwsc 6 14 importance importance NN cord-030686-wv77zwsc 6 15 function function NN cord-030686-wv77zwsc 6 16 : : : cord-030686-wv77zwsc 6 17 this this DT cord-030686-wv77zwsc 6 18 function function NN cord-030686-wv77zwsc 6 19 is be VBZ cord-030686-wv77zwsc 6 20 derived derive VBN cord-030686-wv77zwsc 6 21 from from IN cord-030686-wv77zwsc 6 22 the the DT cord-030686-wv77zwsc 6 23 model model NN cord-030686-wv77zwsc 6 24 specification specification NN cord-030686-wv77zwsc 6 25 plus plus CC cord-030686-wv77zwsc 6 26 the the DT cord-030686-wv77zwsc 6 27 property property NN cord-030686-wv77zwsc 6 28 query query NN cord-030686-wv77zwsc 6 29 . . . cord-030686-wv77zwsc 7 1 The the DT cord-030686-wv77zwsc 7 2 tool tool NN cord-030686-wv77zwsc 7 3 operates operate VBZ cord-030686-wv77zwsc 7 4 with with IN cord-030686-wv77zwsc 7 5 Input input NN cord-030686-wv77zwsc 7 6 / / SYM cord-030686-wv77zwsc 7 7 Output output NN cord-030686-wv77zwsc 7 8 Stochastic stochastic JJ cord-030686-wv77zwsc 7 9 Automata Automata NNP cord-030686-wv77zwsc 7 10 with with IN cord-030686-wv77zwsc 7 11 Urgency Urgency NNP cord-030686-wv77zwsc 7 12 , , , cord-030686-wv77zwsc 7 13 aka aka RB cord-030686-wv77zwsc 7 14 IOSA IOSA NNP cord-030686-wv77zwsc 7 15 models model NNS cord-030686-wv77zwsc 7 16 , , , cord-030686-wv77zwsc 7 17 described describe VBN cord-030686-wv77zwsc 7 18 either either CC cord-030686-wv77zwsc 7 19 in in IN cord-030686-wv77zwsc 7 20 the the DT cord-030686-wv77zwsc 7 21 native native JJ cord-030686-wv77zwsc 7 22 syntax syntax NN cord-030686-wv77zwsc 7 23 or or CC cord-030686-wv77zwsc 7 24 in in IN cord-030686-wv77zwsc 7 25 the the DT cord-030686-wv77zwsc 7 26 JANI JANI NNP cord-030686-wv77zwsc 7 27 exchange exchange NN cord-030686-wv77zwsc 7 28 format format NN cord-030686-wv77zwsc 7 29 . . . cord-030686-wv77zwsc 8 1 The the DT cord-030686-wv77zwsc 8 2 theory theory NN cord-030686-wv77zwsc 8 3 backing back VBG cord-030686-wv77zwsc 8 4 FIG FIG NNP cord-030686-wv77zwsc 8 5 has have VBZ cord-030686-wv77zwsc 8 6 demonstrated demonstrate VBN cord-030686-wv77zwsc 8 7 good good JJ cord-030686-wv77zwsc 8 8 efficiency efficiency NN cord-030686-wv77zwsc 8 9 , , , cord-030686-wv77zwsc 8 10 comparable comparable JJ cord-030686-wv77zwsc 8 11 to to IN cord-030686-wv77zwsc 8 12 optimal optimal JJ cord-030686-wv77zwsc 8 13 importance importance NN cord-030686-wv77zwsc 8 14 splitting splitting NN cord-030686-wv77zwsc 8 15 implemented implement VBN cord-030686-wv77zwsc 8 16 ad ad FW cord-030686-wv77zwsc 8 17 hoc hoc FW cord-030686-wv77zwsc 8 18 for for IN cord-030686-wv77zwsc 8 19 specific specific JJ cord-030686-wv77zwsc 8 20 models model NNS cord-030686-wv77zwsc 8 21 . . . cord-030686-wv77zwsc 9 1 Written write VBN cord-030686-wv77zwsc 9 2 in in IN cord-030686-wv77zwsc 9 3 C++ C++ NNP cord-030686-wv77zwsc 9 4 , , , cord-030686-wv77zwsc 9 5 FIG FIG NNP cord-030686-wv77zwsc 9 6 can can MD cord-030686-wv77zwsc 9 7 outperform outperform VB cord-030686-wv77zwsc 9 8 other other JJ cord-030686-wv77zwsc 9 9 state state NN cord-030686-wv77zwsc 9 10 - - HYPH cord-030686-wv77zwsc 9 11 of of IN cord-030686-wv77zwsc 9 12 - - HYPH cord-030686-wv77zwsc 9 13 the the DT cord-030686-wv77zwsc 9 14 - - HYPH cord-030686-wv77zwsc 9 15 art art NN cord-030686-wv77zwsc 9 16 tools tool NNS cord-030686-wv77zwsc 9 17 for for IN cord-030686-wv77zwsc 9 18 Rare Rare NNP cord-030686-wv77zwsc 9 19 Event Event NNP cord-030686-wv77zwsc 9 20 Simulation Simulation NNP cord-030686-wv77zwsc 9 21 . . . cord-030686-wv77zwsc 10 1 In in IN cord-030686-wv77zwsc 10 2 formal formal JJ cord-030686-wv77zwsc 10 3 analysis analysis NN cord-030686-wv77zwsc 10 4 of of IN cord-030686-wv77zwsc 10 5 stochastic stochastic JJ cord-030686-wv77zwsc 10 6 systems system NNS cord-030686-wv77zwsc 10 7 , , , cord-030686-wv77zwsc 10 8 statistical statistical JJ cord-030686-wv77zwsc 10 9 model model NN cord-030686-wv77zwsc 10 10 checking check VBG cord-030686-wv77zwsc 10 11 ( ( -LRB- cord-030686-wv77zwsc 10 12 smc smc NNP cord-030686-wv77zwsc 10 13 [ [ -LRB- cord-030686-wv77zwsc 10 14 33 33 CD cord-030686-wv77zwsc 10 15 ] ] -RRB- cord-030686-wv77zwsc 10 16 ) ) -RRB- cord-030686-wv77zwsc 10 17 emerges emerge VBZ cord-030686-wv77zwsc 10 18 as as IN cord-030686-wv77zwsc 10 19 an an DT cord-030686-wv77zwsc 10 20 alternative alternative NN cord-030686-wv77zwsc 10 21 to to IN cord-030686-wv77zwsc 10 22 numerical numerical JJ cord-030686-wv77zwsc 10 23 techniques technique NNS cord-030686-wv77zwsc 10 24 such such JJ cord-030686-wv77zwsc 10 25 as as IN cord-030686-wv77zwsc 10 26 ( ( -LRB- cord-030686-wv77zwsc 10 27 exhaustive exhaustive JJ cord-030686-wv77zwsc 10 28 ) ) -RRB- cord-030686-wv77zwsc 10 29 probabilistic probabilistic JJ cord-030686-wv77zwsc 10 30 model model NN cord-030686-wv77zwsc 10 31 checking checking NN cord-030686-wv77zwsc 10 32 . . . cord-030686-wv77zwsc 11 1 Its -PRON- PRP$ cord-030686-wv77zwsc 11 2 partial partial JJ cord-030686-wv77zwsc 11 3 , , , cord-030686-wv77zwsc 11 4 on on IN cord-030686-wv77zwsc 11 5 - - HYPH cord-030686-wv77zwsc 11 6 demand demand NN cord-030686-wv77zwsc 11 7 state state NN cord-030686-wv77zwsc 11 8 exploration exploration NN cord-030686-wv77zwsc 11 9 offers offer VBZ cord-030686-wv77zwsc 11 10 a a DT cord-030686-wv77zwsc 11 11 memorylightweight memorylightweight NN cord-030686-wv77zwsc 11 12 option option NN cord-030686-wv77zwsc 11 13 to to IN cord-030686-wv77zwsc 11 14 exhaustive exhaustive JJ cord-030686-wv77zwsc 11 15 explorations exploration NNS cord-030686-wv77zwsc 11 16 . . . cord-030686-wv77zwsc 12 1 At at IN cord-030686-wv77zwsc 12 2 its -PRON- PRP$ cord-030686-wv77zwsc 12 3 core core NN cord-030686-wv77zwsc 12 4 , , , cord-030686-wv77zwsc 12 5 smc smc NNP cord-030686-wv77zwsc 12 6 integrates integrate VBZ cord-030686-wv77zwsc 12 7 Monte Monte NNP cord-030686-wv77zwsc 12 8 Carlo Carlo NNP cord-030686-wv77zwsc 12 9 simulation simulation NN cord-030686-wv77zwsc 12 10 with with IN cord-030686-wv77zwsc 12 11 formal formal JJ cord-030686-wv77zwsc 12 12 models model NNS cord-030686-wv77zwsc 12 13 , , , cord-030686-wv77zwsc 12 14 where where WRB cord-030686-wv77zwsc 12 15 traces trace NNS cord-030686-wv77zwsc 12 16 of of IN cord-030686-wv77zwsc 12 17 states state NNS cord-030686-wv77zwsc 12 18 are be VBP cord-030686-wv77zwsc 12 19 generated generate VBN cord-030686-wv77zwsc 12 20 dynamically dynamically RB cord-030686-wv77zwsc 12 21 e.g. e.g. RB cord-030686-wv77zwsc 12 22 via via IN cord-030686-wv77zwsc 12 23 discrete discrete JJ cord-030686-wv77zwsc 12 24 event event NN cord-030686-wv77zwsc 12 25 simulation simulation NN cord-030686-wv77zwsc 12 26 . . . cord-030686-wv77zwsc 13 1 Such such JJ cord-030686-wv77zwsc 13 2 traces trace NNS cord-030686-wv77zwsc 13 3 are be VBP cord-030686-wv77zwsc 13 4 samples sample NNS cord-030686-wv77zwsc 13 5 of of IN cord-030686-wv77zwsc 13 6 the the DT cord-030686-wv77zwsc 13 7 states state NNS cord-030686-wv77zwsc 13 8 where where WRB cord-030686-wv77zwsc 13 9 a a DT cord-030686-wv77zwsc 13 10 ( ( -LRB- cord-030686-wv77zwsc 13 11 possibly possibly RB cord-030686-wv77zwsc 13 12 non non JJ cord-030686-wv77zwsc 13 13 - - JJ cord-030686-wv77zwsc 13 14 Markovian markovian JJ cord-030686-wv77zwsc 13 15 ) ) -RRB- cord-030686-wv77zwsc 13 16 stochastic stochastic JJ cord-030686-wv77zwsc 13 17 model model NN cord-030686-wv77zwsc 13 18 usually usually RB cord-030686-wv77zwsc 13 19 ferrets ferret NNS cord-030686-wv77zwsc 13 20 . . . cord-030686-wv77zwsc 14 1 Given give VBN cord-030686-wv77zwsc 14 2 a a DT cord-030686-wv77zwsc 14 3 temporal temporal JJ cord-030686-wv77zwsc 14 4 logic logic NN cord-030686-wv77zwsc 14 5 property property NN cord-030686-wv77zwsc 14 6 ϕ ϕ NN cord-030686-wv77zwsc 14 7 that that WDT cord-030686-wv77zwsc 14 8 characterises characterise VBZ cord-030686-wv77zwsc 14 9 certain certain JJ cord-030686-wv77zwsc 14 10 states state NNS cord-030686-wv77zwsc 14 11 , , , cord-030686-wv77zwsc 14 12 an an DT cord-030686-wv77zwsc 14 13 smc smc NNP cord-030686-wv77zwsc 14 14 analysis analysis NN cord-030686-wv77zwsc 14 15 yields yield VBZ cord-030686-wv77zwsc 14 16 an an DT cord-030686-wv77zwsc 14 17 estimateγ estimateγ NN cord-030686-wv77zwsc 14 18 of of IN cord-030686-wv77zwsc 14 19 the the DT cord-030686-wv77zwsc 14 20 actual actual JJ cord-030686-wv77zwsc 14 21 probability probability NN cord-030686-wv77zwsc 14 22 γ γ NN cord-030686-wv77zwsc 14 23 with with IN cord-030686-wv77zwsc 14 24 which which WDT cord-030686-wv77zwsc 14 25 the the DT cord-030686-wv77zwsc 14 26 model model NN cord-030686-wv77zwsc 14 27 satisfies satisfy VBZ cord-030686-wv77zwsc 14 28 ϕ. ϕ. NN cord-030686-wv77zwsc 14 29 The the DT cord-030686-wv77zwsc 14 30 estimateγ estimateγ NN cord-030686-wv77zwsc 14 31 typically typically RB cord-030686-wv77zwsc 14 32 comes come VBZ cord-030686-wv77zwsc 14 33 together together RB cord-030686-wv77zwsc 14 34 with with IN cord-030686-wv77zwsc 14 35 a a DT cord-030686-wv77zwsc 14 36 quantification quantification NN cord-030686-wv77zwsc 14 37 of of IN cord-030686-wv77zwsc 14 38 the the DT cord-030686-wv77zwsc 14 39 statistical statistical JJ cord-030686-wv77zwsc 14 40 error error NN cord-030686-wv77zwsc 14 41 : : : cord-030686-wv77zwsc 14 42 two two CD cord-030686-wv77zwsc 14 43 numbers number NNS cord-030686-wv77zwsc 14 44 δ δ NN cord-030686-wv77zwsc 14 45 ∈ ∈ NN cord-030686-wv77zwsc 14 46 ( ( -LRB- cord-030686-wv77zwsc 14 47 0 0 CD cord-030686-wv77zwsc 14 48 , , , cord-030686-wv77zwsc 14 49 1 1 CD cord-030686-wv77zwsc 14 50 ) ) -RRB- cord-030686-wv77zwsc 15 1 and and CC cord-030686-wv77zwsc 15 2 ε ε NN cord-030686-wv77zwsc 15 3 > > XX cord-030686-wv77zwsc 15 4 0 0 NFP cord-030686-wv77zwsc 15 5 such such JJ cord-030686-wv77zwsc 15 6 thatγ thatγ NN cord-030686-wv77zwsc 15 7 ∈ ∈ NN cord-030686-wv77zwsc 15 8 [ [ -LRB- cord-030686-wv77zwsc 15 9 γ γ NN cord-030686-wv77zwsc 15 10 − − NN cord-030686-wv77zwsc 16 1 ε ε NNP cord-030686-wv77zwsc 16 2 , , , cord-030686-wv77zwsc 16 3 γ γ NNP cord-030686-wv77zwsc 16 4 + + CC cord-030686-wv77zwsc 16 5 ε ε NNP cord-030686-wv77zwsc 16 6 ] ] -RRB- cord-030686-wv77zwsc 16 7 with with IN cord-030686-wv77zwsc 16 8 probability probability NN cord-030686-wv77zwsc 16 9 δ δ NN cord-030686-wv77zwsc 16 10 . . . cord-030686-wv77zwsc 17 1 Thus thus RB cord-030686-wv77zwsc 17 2 , , , cord-030686-wv77zwsc 17 3 if if IN cord-030686-wv77zwsc 17 4 n n CD cord-030686-wv77zwsc 17 5 traces trace NNS cord-030686-wv77zwsc 17 6 are be VBP cord-030686-wv77zwsc 17 7 sampled sample VBN cord-030686-wv77zwsc 17 8 , , , cord-030686-wv77zwsc 17 9 the the DT cord-030686-wv77zwsc 17 10 full full JJ cord-030686-wv77zwsc 17 11 smc smc NNP cord-030686-wv77zwsc 17 12 outcome outcome NN cord-030686-wv77zwsc 17 13 is be VBZ cord-030686-wv77zwsc 17 14 the the DT cord-030686-wv77zwsc 17 15 tuple tuple NN cord-030686-wv77zwsc 17 16 ( ( -LRB- cord-030686-wv77zwsc 17 17 n n NNP cord-030686-wv77zwsc 17 18 , , , cord-030686-wv77zwsc 17 19 γ γ NNP cord-030686-wv77zwsc 17 20 , , , cord-030686-wv77zwsc 17 21 δ δ NNP cord-030686-wv77zwsc 17 22 , , , cord-030686-wv77zwsc 17 23 ε ε NNP cord-030686-wv77zwsc 17 24 ) ) -RRB- cord-030686-wv77zwsc 17 25 . . . cord-030686-wv77zwsc 18 1 With with IN cord-030686-wv77zwsc 18 2 this this DT cord-030686-wv77zwsc 18 3 statistical statistical JJ cord-030686-wv77zwsc 18 4 quantification quantification NN cord-030686-wv77zwsc 18 5 - - : cord-030686-wv77zwsc 18 6 usually usually RB cord-030686-wv77zwsc 18 7 presented present VBN cord-030686-wv77zwsc 18 8 as as IN cord-030686-wv77zwsc 18 9 a a DT cord-030686-wv77zwsc 18 10 confidence confidence NN cord-030686-wv77zwsc 18 11 interval interval NN cord-030686-wv77zwsc 18 12 ( ( -LRB- cord-030686-wv77zwsc 18 13 ci ci NNP cord-030686-wv77zwsc 18 14 ) ) -RRB- cord-030686-wv77zwsc 18 15 aroundγ aroundγ NNP cord-030686-wv77zwsc 18 16 - - : cord-030686-wv77zwsc 18 17 an an DT cord-030686-wv77zwsc 18 18 idea idea NN cord-030686-wv77zwsc 18 19 of of IN cord-030686-wv77zwsc 18 20 the the DT cord-030686-wv77zwsc 18 21 quality quality NN cord-030686-wv77zwsc 18 22 of of IN cord-030686-wv77zwsc 18 23 an an DT cord-030686-wv77zwsc 18 24 estimation estimation NN cord-030686-wv77zwsc 18 25 is be VBZ cord-030686-wv77zwsc 18 26 conveyed convey VBN cord-030686-wv77zwsc 18 27 . . . cord-030686-wv77zwsc 19 1 To to TO cord-030686-wv77zwsc 19 2 increase increase VB cord-030686-wv77zwsc 19 3 the the DT cord-030686-wv77zwsc 19 4 quality quality NN cord-030686-wv77zwsc 19 5 one one PRP cord-030686-wv77zwsc 19 6 must must MD cord-030686-wv77zwsc 19 7 increase increase VB cord-030686-wv77zwsc 19 8 the the DT cord-030686-wv77zwsc 19 9 precision precision NN cord-030686-wv77zwsc 19 10 ( ( -LRB- cord-030686-wv77zwsc 19 11 smaller small JJR cord-030686-wv77zwsc 19 12 ε ε NNP cord-030686-wv77zwsc 19 13 ) ) -RRB- cord-030686-wv77zwsc 19 14 or or CC cord-030686-wv77zwsc 19 15 the the DT cord-030686-wv77zwsc 19 16 confidence confidence NN cord-030686-wv77zwsc 19 17 ( ( -LRB- cord-030686-wv77zwsc 19 18 bigger big JJR cord-030686-wv77zwsc 19 19 δ δ NN cord-030686-wv77zwsc 19 20 ) ) -RRB- cord-030686-wv77zwsc 19 21 . . . cord-030686-wv77zwsc 20 1 For for IN cord-030686-wv77zwsc 20 2 fixed fix VBN cord-030686-wv77zwsc 20 3 confidence confidence NN cord-030686-wv77zwsc 20 4 , , , cord-030686-wv77zwsc 20 5 this this DT cord-030686-wv77zwsc 20 6 means mean VBZ cord-030686-wv77zwsc 20 7 a a DT cord-030686-wv77zwsc 20 8 narrower narrow JJR cord-030686-wv77zwsc 20 9 ci ci NNP cord-030686-wv77zwsc 20 10 aroundγ aroundγ NNP cord-030686-wv77zwsc 20 11 . . . cord-030686-wv77zwsc 21 1 The the DT cord-030686-wv77zwsc 21 2 number number NN cord-030686-wv77zwsc 21 3 of of IN cord-030686-wv77zwsc 21 4 traces trace NNS cord-030686-wv77zwsc 21 5 n n NN cord-030686-wv77zwsc 21 6 is be VBZ cord-030686-wv77zwsc 21 7 inversely inversely RB cord-030686-wv77zwsc 21 8 proportional proportional JJ cord-030686-wv77zwsc 21 9 to to IN cord-030686-wv77zwsc 21 10 ε ε NN cord-030686-wv77zwsc 21 11 and and CC cord-030686-wv77zwsc 21 12 to to IN cord-030686-wv77zwsc 21 13 the the DT cord-030686-wv77zwsc 21 14 ci ci NNP cord-030686-wv77zwsc 21 15 width width NNP cord-030686-wv77zwsc 21 16 , , , cord-030686-wv77zwsc 21 17 so so RB cord-030686-wv77zwsc 21 18 smc smc NNP cord-030686-wv77zwsc 21 19 trades trade VBZ cord-030686-wv77zwsc 21 20 memory memory NN cord-030686-wv77zwsc 21 21 for for IN cord-030686-wv77zwsc 21 22 runtime runtime NN cord-030686-wv77zwsc 21 23 or or CC cord-030686-wv77zwsc 21 24 precision precision NN cord-030686-wv77zwsc 21 25 when when WRB cord-030686-wv77zwsc 21 26 compared compare VBN cord-030686-wv77zwsc 21 27 to to IN cord-030686-wv77zwsc 21 28 exhaustive exhaustive JJ cord-030686-wv77zwsc 21 29 methods method NNS cord-030686-wv77zwsc 21 30 [ [ -LRB- cord-030686-wv77zwsc 21 31 5 5 CD cord-030686-wv77zwsc 21 32 ] ] -RRB- cord-030686-wv77zwsc 21 33 . . . cord-030686-wv77zwsc 22 1 This this DT cord-030686-wv77zwsc 22 2 trade trade NN cord-030686-wv77zwsc 22 3 - - HYPH cord-030686-wv77zwsc 22 4 off off NN cord-030686-wv77zwsc 22 5 of of IN cord-030686-wv77zwsc 22 6 smc smc NNP cord-030686-wv77zwsc 22 7 comes come VBZ cord-030686-wv77zwsc 22 8 with with IN cord-030686-wv77zwsc 22 9 one one CD cord-030686-wv77zwsc 22 10 up up RB cord-030686-wv77zwsc 22 11 and and CC cord-030686-wv77zwsc 22 12 one one CD cord-030686-wv77zwsc 22 13 down down RP cord-030686-wv77zwsc 22 14 . . . cord-030686-wv77zwsc 23 1 The the DT cord-030686-wv77zwsc 23 2 up up NN cord-030686-wv77zwsc 23 3 is be VBZ cord-030686-wv77zwsc 23 4 the the DT cord-030686-wv77zwsc 23 5 capability capability NN cord-030686-wv77zwsc 23 6 to to TO cord-030686-wv77zwsc 23 7 analyse analyse VB cord-030686-wv77zwsc 23 8 systems system NNS cord-030686-wv77zwsc 23 9 whose whose WP$ cord-030686-wv77zwsc 23 10 stochastic stochastic JJ cord-030686-wv77zwsc 23 11 transitions transition NNS cord-030686-wv77zwsc 23 12 can can MD cord-030686-wv77zwsc 23 13 have have VB cord-030686-wv77zwsc 23 14 non non JJ cord-030686-wv77zwsc 23 15 - - JJ cord-030686-wv77zwsc 23 16 Markovian markovian JJ cord-030686-wv77zwsc 24 1 This this DT cord-030686-wv77zwsc 24 2 work work NN cord-030686-wv77zwsc 24 3 was be VBD cord-030686-wv77zwsc 24 4 partially partially RB cord-030686-wv77zwsc 24 5 funded fund VBN cord-030686-wv77zwsc 24 6 by by IN cord-030686-wv77zwsc 24 7 NWO NWO NNP cord-030686-wv77zwsc 24 8 , , , cord-030686-wv77zwsc 24 9 NS NS NNP cord-030686-wv77zwsc 24 10 , , , cord-030686-wv77zwsc 24 11 and and CC cord-030686-wv77zwsc 24 12 ProRail ProRail NNP cord-030686-wv77zwsc 24 13 project project NN cord-030686-wv77zwsc 24 14 15474 15474 CD cord-030686-wv77zwsc 25 1 ( ( -LRB- cord-030686-wv77zwsc 25 2 SE SE NNP cord-030686-wv77zwsc 25 3 - - HYPH cord-030686-wv77zwsc 25 4 QUOIA QUOIA NNP cord-030686-wv77zwsc 25 5 ) ) -RRB- cord-030686-wv77zwsc 25 6 and and CC cord-030686-wv77zwsc 25 7 EU EU NNP cord-030686-wv77zwsc 25 8 project project NN cord-030686-wv77zwsc 25 9 102112 102112 CD cord-030686-wv77zwsc 26 1 ( ( -LRB- cord-030686-wv77zwsc 26 2 SUCCESS SUCCESS NNP cord-030686-wv77zwsc 26 3 ) ) -RRB- cord-030686-wv77zwsc 26 4 . . . cord-030686-wv77zwsc 27 1 distributions distribution NNS cord-030686-wv77zwsc 27 2 . . . cord-030686-wv77zwsc 28 1 In in IN cord-030686-wv77zwsc 28 2 spite spite NN cord-030686-wv77zwsc 28 3 of of IN cord-030686-wv77zwsc 28 4 gallant gallant JJ cord-030686-wv77zwsc 28 5 efforts effort NNS cord-030686-wv77zwsc 28 6 , , , cord-030686-wv77zwsc 28 7 this this DT cord-030686-wv77zwsc 28 8 is be VBZ cord-030686-wv77zwsc 28 9 still still RB cord-030686-wv77zwsc 28 10 out out IN cord-030686-wv77zwsc 28 11 of of IN cord-030686-wv77zwsc 28 12 reach reach NN cord-030686-wv77zwsc 28 13 for for IN cord-030686-wv77zwsc 28 14 most most JJS cord-030686-wv77zwsc 28 15 other other JJ cord-030686-wv77zwsc 28 16 model model NN cord-030686-wv77zwsc 28 17 checking checking NN cord-030686-wv77zwsc 28 18 approaches approach NNS cord-030686-wv77zwsc 28 19 , , , cord-030686-wv77zwsc 28 20 making make VBG cord-030686-wv77zwsc 28 21 smc smc NNP cord-030686-wv77zwsc 28 22 unique unique JJ cord-030686-wv77zwsc 28 23 . . . cord-030686-wv77zwsc 29 1 The the DT cord-030686-wv77zwsc 29 2 down down JJ cord-030686-wv77zwsc 29 3 are be VBP cord-030686-wv77zwsc 29 4 rare rare JJ cord-030686-wv77zwsc 29 5 events event NNS cord-030686-wv77zwsc 29 6 . . . cord-030686-wv77zwsc 30 1 If if IN cord-030686-wv77zwsc 30 2 there there EX cord-030686-wv77zwsc 30 3 is be VBZ cord-030686-wv77zwsc 30 4 a a DT cord-030686-wv77zwsc 30 5 very very RB cord-030686-wv77zwsc 30 6 low low JJ cord-030686-wv77zwsc 30 7 probability probability NN cord-030686-wv77zwsc 30 8 to to TO cord-030686-wv77zwsc 30 9 visit visit VB cord-030686-wv77zwsc 30 10 the the DT cord-030686-wv77zwsc 30 11 states state NNS cord-030686-wv77zwsc 30 12 characterised characterise VBN cord-030686-wv77zwsc 30 13 by by IN cord-030686-wv77zwsc 30 14 the the DT cord-030686-wv77zwsc 30 15 property property NN cord-030686-wv77zwsc 30 16 ϕ ϕ NN cord-030686-wv77zwsc 30 17 , , , cord-030686-wv77zwsc 30 18 then then RB cord-030686-wv77zwsc 30 19 most most JJS cord-030686-wv77zwsc 30 20 traces trace NNS cord-030686-wv77zwsc 30 21 will will MD cord-030686-wv77zwsc 30 22 not not RB cord-030686-wv77zwsc 30 23 visit visit VB cord-030686-wv77zwsc 30 24 them -PRON- PRP cord-030686-wv77zwsc 30 25 . . . cord-030686-wv77zwsc 31 1 Thus thus RB cord-030686-wv77zwsc 31 2 the the DT cord-030686-wv77zwsc 31 3 estimateγ estimateγ NN cord-030686-wv77zwsc 31 4 is be VBZ cord-030686-wv77zwsc 31 5 either either DT cord-030686-wv77zwsc 31 6 ( ( -LRB- cord-030686-wv77zwsc 31 7 an an DT cord-030686-wv77zwsc 31 8 incorrect incorrect JJ cord-030686-wv77zwsc 31 9 ) ) -RRB- cord-030686-wv77zwsc 31 10 0 0 NFP cord-030686-wv77zwsc 32 1 or or CC cord-030686-wv77zwsc 32 2 , , , cord-030686-wv77zwsc 32 3 if if IN cord-030686-wv77zwsc 32 4 a a DT cord-030686-wv77zwsc 32 5 few few JJ cord-030686-wv77zwsc 32 6 traces trace NNS cord-030686-wv77zwsc 32 7 do do VBP cord-030686-wv77zwsc 32 8 visit visit VB cord-030686-wv77zwsc 32 9 these these DT cord-030686-wv77zwsc 32 10 states state NNS cord-030686-wv77zwsc 32 11 , , , cord-030686-wv77zwsc 32 12 statistical statistical JJ cord-030686-wv77zwsc 32 13 error error NN cord-030686-wv77zwsc 32 14 quantification quantification NN cord-030686-wv77zwsc 32 15 make make VBP cord-030686-wv77zwsc 32 16 ε ε NNP cord-030686-wv77zwsc 32 17 skyrocket skyrocket VB cord-030686-wv77zwsc 32 18 . . . cord-030686-wv77zwsc 33 1 To to TO cord-030686-wv77zwsc 33 2 counter counter VB cord-030686-wv77zwsc 33 3 such such JJ cord-030686-wv77zwsc 33 4 phenomenon phenomenon NN cord-030686-wv77zwsc 33 5 , , , cord-030686-wv77zwsc 33 6 n n CC cord-030686-wv77zwsc 33 7 must must MD cord-030686-wv77zwsc 33 8 increase increase VB cord-030686-wv77zwsc 33 9 as as IN cord-030686-wv77zwsc 33 10 γ γ NN cord-030686-wv77zwsc 33 11 decreases decrease VBZ cord-030686-wv77zwsc 33 12 . . . cord-030686-wv77zwsc 34 1 Unfortunately unfortunately RB cord-030686-wv77zwsc 34 2 , , , cord-030686-wv77zwsc 34 3 for for IN cord-030686-wv77zwsc 34 4 typical typical JJ cord-030686-wv77zwsc 34 5 estimates estimate NNS cord-030686-wv77zwsc 34 6 such such JJ cord-030686-wv77zwsc 34 7 as as IN cord-030686-wv77zwsc 34 8 the the DT cord-030686-wv77zwsc 34 9 sample sample NN cord-030686-wv77zwsc 34 10 mean mean NN cord-030686-wv77zwsc 34 11 , , , cord-030686-wv77zwsc 34 12 it -PRON- PRP cord-030686-wv77zwsc 34 13 takes take VBZ cord-030686-wv77zwsc 34 14 n n NN cord-030686-wv77zwsc 34 15 384 384 CD cord-030686-wv77zwsc 34 16 /γ /γ NNP cord-030686-wv77zwsc 34 17 to to TO cord-030686-wv77zwsc 34 18 build build VB cord-030686-wv77zwsc 34 19 a a DT cord-030686-wv77zwsc 34 20 ( ( -LRB- cord-030686-wv77zwsc 34 21 rather rather RB cord-030686-wv77zwsc 34 22 lax lax JJ cord-030686-wv77zwsc 34 23 ! ! . cord-030686-wv77zwsc 34 24 ) ) -RRB- cord-030686-wv77zwsc 35 1 ci ci NNP cord-030686-wv77zwsc 35 2 where where WRB cord-030686-wv77zwsc 35 3 δ δ NN cord-030686-wv77zwsc 35 4 = = SYM cord-030686-wv77zwsc 35 5 0.95 0.95 CD cord-030686-wv77zwsc 35 6 and and CC cord-030686-wv77zwsc 35 7 ε ε NN cord-030686-wv77zwsc 35 8 = = SYM cord-030686-wv77zwsc 35 9 γ γ NN cord-030686-wv77zwsc 35 10 10 10 CD cord-030686-wv77zwsc 35 11 . . . cord-030686-wv77zwsc 36 1 If if IN cord-030686-wv77zwsc 36 2 e.g. e.g. RB cord-030686-wv77zwsc 36 3 γ γ NN cord-030686-wv77zwsc 36 4 ≈ ≈ NNP cord-030686-wv77zwsc 36 5 10 10 CD cord-030686-wv77zwsc 37 1 −8 −8 NNP cord-030686-wv77zwsc 38 1 then then RB cord-030686-wv77zwsc 38 2 n n NN cord-030686-wv77zwsc 38 3 38400000000 38400000000 CD cord-030686-wv77zwsc 38 4 traces trace NNS cord-030686-wv77zwsc 38 5 are be VBP cord-030686-wv77zwsc 38 6 needed need VBN cord-030686-wv77zwsc 38 7 , , , cord-030686-wv77zwsc 38 8 causing cause VBG cord-030686-wv77zwsc 38 9 trace trace NN cord-030686-wv77zwsc 38 10 - - HYPH cord-030686-wv77zwsc 38 11 sampling sampling NN cord-030686-wv77zwsc 38 12 times time NNS cord-030686-wv77zwsc 38 13 to to TO cord-030686-wv77zwsc 38 14 grow grow VB cord-030686-wv77zwsc 38 15 unacceptably unacceptably RB cord-030686-wv77zwsc 38 16 long long RB cord-030686-wv77zwsc 38 17 . . . cord-030686-wv77zwsc 39 1 Rare rare JJ cord-030686-wv77zwsc 39 2 Event Event NNP cord-030686-wv77zwsc 39 3 Simulation Simulation NNP cord-030686-wv77zwsc 39 4 ( ( -LRB- cord-030686-wv77zwsc 39 5 res re NNS cord-030686-wv77zwsc 39 6 [ [ -LRB- cord-030686-wv77zwsc 39 7 24 24 CD cord-030686-wv77zwsc 39 8 ] ] -RRB- cord-030686-wv77zwsc 39 9 ) ) -RRB- cord-030686-wv77zwsc 39 10 methods method NNS cord-030686-wv77zwsc 39 11 tackle tackle VBP cord-030686-wv77zwsc 39 12 this this DT cord-030686-wv77zwsc 39 13 issue issue NN cord-030686-wv77zwsc 39 14 . . . cord-030686-wv77zwsc 40 1 The the DT cord-030686-wv77zwsc 40 2 two two CD cord-030686-wv77zwsc 40 3 main main JJ cord-030686-wv77zwsc 40 4 res re NNS cord-030686-wv77zwsc 40 5 methods method NNS cord-030686-wv77zwsc 40 6 are be VBP cord-030686-wv77zwsc 40 7 importance importance NN cord-030686-wv77zwsc 40 8 sampling sampling NN cord-030686-wv77zwsc 40 9 ( ( -LRB- cord-030686-wv77zwsc 40 10 is be VBZ cord-030686-wv77zwsc 40 11 ) ) -RRB- cord-030686-wv77zwsc 40 12 and and CC cord-030686-wv77zwsc 40 13 importance importance NN cord-030686-wv77zwsc 40 14 splitting splitting NN cord-030686-wv77zwsc 40 15 ( ( -LRB- cord-030686-wv77zwsc 40 16 isplit isplit NNP cord-030686-wv77zwsc 40 17 ) ) -RRB- cord-030686-wv77zwsc 40 18 . . . cord-030686-wv77zwsc 41 1 is be VBZ cord-030686-wv77zwsc 41 2 compromises compromise VBZ cord-030686-wv77zwsc 41 3 the the DT cord-030686-wv77zwsc 41 4 aforementioned aforementioned JJ cord-030686-wv77zwsc 41 5 up up RP cord-030686-wv77zwsc 41 6 , , , cord-030686-wv77zwsc 41 7 since since IN cord-030686-wv77zwsc 41 8 it -PRON- PRP cord-030686-wv77zwsc 41 9 must must MD cord-030686-wv77zwsc 41 10 tamper tamper VB cord-030686-wv77zwsc 41 11 the the DT cord-030686-wv77zwsc 41 12 stochastic stochastic JJ cord-030686-wv77zwsc 41 13 transitions transition NNS cord-030686-wv77zwsc 41 14 of of IN cord-030686-wv77zwsc 41 15 the the DT cord-030686-wv77zwsc 41 16 model model NN cord-030686-wv77zwsc 41 17 . . . cord-030686-wv77zwsc 42 1 Given give VBN cord-030686-wv77zwsc 42 2 that that IN cord-030686-wv77zwsc 42 3 the the DT cord-030686-wv77zwsc 42 4 study study NN cord-030686-wv77zwsc 42 5 of of IN cord-030686-wv77zwsc 42 6 non non JJ cord-030686-wv77zwsc 42 7 - - JJ cord-030686-wv77zwsc 42 8 Markovian markovian JJ cord-030686-wv77zwsc 42 9 systems system NNS cord-030686-wv77zwsc 42 10 is be VBZ cord-030686-wv77zwsc 42 11 a a DT cord-030686-wv77zwsc 42 12 chief chief JJ cord-030686-wv77zwsc 42 13 reason reason NN cord-030686-wv77zwsc 42 14 to to TO cord-030686-wv77zwsc 42 15 use use VB cord-030686-wv77zwsc 42 16 smc smc NNP cord-030686-wv77zwsc 42 17 , , , cord-030686-wv77zwsc 42 18 Related related JJ cord-030686-wv77zwsc 42 19 work work NN cord-030686-wv77zwsc 42 20 . . . cord-030686-wv77zwsc 43 1 Other other JJ cord-030686-wv77zwsc 43 2 statistical statistical JJ cord-030686-wv77zwsc 43 3 model model NN cord-030686-wv77zwsc 43 4 checkers checker NNS cord-030686-wv77zwsc 43 5 offer offer VBP cord-030686-wv77zwsc 43 6 res re NNS cord-030686-wv77zwsc 43 7 methods method NNS cord-030686-wv77zwsc 43 8 to to IN cord-030686-wv77zwsc 43 9 some some DT cord-030686-wv77zwsc 43 10 degree degree NN cord-030686-wv77zwsc 43 11 of of IN cord-030686-wv77zwsc 43 12 automation automation NN cord-030686-wv77zwsc 43 13 . . . cord-030686-wv77zwsc 44 1 Plasma plasma NN cord-030686-wv77zwsc 44 2 Lab lab NN cord-030686-wv77zwsc 44 3 implements implement VBZ cord-030686-wv77zwsc 44 4 automatic automatic JJ cord-030686-wv77zwsc 44 5 is be VBZ cord-030686-wv77zwsc 44 6 [ [ -LRB- cord-030686-wv77zwsc 44 7 18 18 CD cord-030686-wv77zwsc 44 8 ] ] -RRB- cord-030686-wv77zwsc 44 9 and and CC cord-030686-wv77zwsc 44 10 semiautomatic semiautomatic JJ cord-030686-wv77zwsc 44 11 isplit isplit NN cord-030686-wv77zwsc 44 12 [ [ -LRB- cord-030686-wv77zwsc 44 13 21 21 CD cord-030686-wv77zwsc 44 14 ] ] -RRB- cord-030686-wv77zwsc 44 15 for for IN cord-030686-wv77zwsc 44 16 Markov Markov NNP cord-030686-wv77zwsc 44 17 chains chain NNS cord-030686-wv77zwsc 44 18 . . . cord-030686-wv77zwsc 45 1 Its -PRON- PRP$ cord-030686-wv77zwsc 45 2 isplit isplit JJ cord-030686-wv77zwsc 45 3 engine engine NN cord-030686-wv77zwsc 45 4 offers offer VBZ cord-030686-wv77zwsc 45 5 a a DT cord-030686-wv77zwsc 45 6 wizard wizard NN cord-030686-wv77zwsc 45 7 that that WDT cord-030686-wv77zwsc 45 8 guides guide VBZ cord-030686-wv77zwsc 45 9 the the DT cord-030686-wv77zwsc 45 10 user user NN cord-030686-wv77zwsc 45 11 to to TO cord-030686-wv77zwsc 45 12 choose choose VB cord-030686-wv77zwsc 45 13 an an DT cord-030686-wv77zwsc 45 14 importance importance NN cord-030686-wv77zwsc 45 15 function function NN cord-030686-wv77zwsc 45 16 . . . cord-030686-wv77zwsc 46 1 The the DT cord-030686-wv77zwsc 46 2 wizard wizard NN cord-030686-wv77zwsc 46 3 exploits exploit VBZ cord-030686-wv77zwsc 46 4 a a DT cord-030686-wv77zwsc 46 5 layered layered JJ cord-030686-wv77zwsc 46 6 decomposition decomposition NN cord-030686-wv77zwsc 46 7 of of IN cord-030686-wv77zwsc 46 8 the the DT cord-030686-wv77zwsc 46 9 property property NN cord-030686-wv77zwsc 46 10 query query NN cord-030686-wv77zwsc 46 11 - - : cord-030686-wv77zwsc 46 12 not not RB cord-030686-wv77zwsc 46 13 the the DT cord-030686-wv77zwsc 46 14 system system NN cord-030686-wv77zwsc 46 15 model model NN cord-030686-wv77zwsc 46 16 . . . cord-030686-wv77zwsc 47 1 Via via IN cord-030686-wv77zwsc 47 2 apis apis NNP cord-030686-wv77zwsc 47 3 , , , cord-030686-wv77zwsc 47 4 the the DT cord-030686-wv77zwsc 47 5 isplit isplit JJ cord-030686-wv77zwsc 47 6 engine engine NN cord-030686-wv77zwsc 47 7 of of IN cord-030686-wv77zwsc 47 8 Plasma Plasma NNP cord-030686-wv77zwsc 47 9 Lab Lab NNP cord-030686-wv77zwsc 47 10 could could MD cord-030686-wv77zwsc 47 11 be be VB cord-030686-wv77zwsc 47 12 extended extend VBN cord-030686-wv77zwsc 47 13 beyond beyond IN cord-030686-wv77zwsc 47 14 dtmc dtmc JJ cord-030686-wv77zwsc 47 15 models model NNS cord-030686-wv77zwsc 47 16 . . . cord-030686-wv77zwsc 48 1 SBIP SBIP NNP cord-030686-wv77zwsc 48 2 2.0 2.0 CD cord-030686-wv77zwsc 48 3 [ [ -LRB- cord-030686-wv77zwsc 48 4 22 22 CD cord-030686-wv77zwsc 48 5 ] ] -RRB- cord-030686-wv77zwsc 48 6 implements implement VBZ cord-030686-wv77zwsc 48 7 the the DT cord-030686-wv77zwsc 48 8 same same JJ cord-030686-wv77zwsc 48 9 ( ( -LRB- cord-030686-wv77zwsc 48 10 semiautomatic semiautomatic JJ cord-030686-wv77zwsc 48 11 , , , cord-030686-wv77zwsc 48 12 property property NN cord-030686-wv77zwsc 48 13 - - HYPH cord-030686-wv77zwsc 48 14 based base VBN cord-030686-wv77zwsc 48 15 ) ) -RRB- cord-030686-wv77zwsc 48 16 engine engine NN cord-030686-wv77zwsc 48 17 for for IN cord-030686-wv77zwsc 48 18 dtmcs dtmcs NNP cord-030686-wv77zwsc 48 19 . . . cord-030686-wv77zwsc 49 1 SBIP SBIP NNP cord-030686-wv77zwsc 49 2 offers offer VBZ cord-030686-wv77zwsc 49 3 a a DT cord-030686-wv77zwsc 49 4 richer rich JJR cord-030686-wv77zwsc 49 5 set set NN cord-030686-wv77zwsc 49 6 of of IN cord-030686-wv77zwsc 49 7 temporal temporal JJ cord-030686-wv77zwsc 49 8 logics logic NNS cord-030686-wv77zwsc 49 9 to to TO cord-030686-wv77zwsc 49 10 define define VB cord-030686-wv77zwsc 49 11 the the DT cord-030686-wv77zwsc 49 12 property property NN cord-030686-wv77zwsc 49 13 query query NN cord-030686-wv77zwsc 49 14 in in IN cord-030686-wv77zwsc 49 15 . . . cord-030686-wv77zwsc 50 1 Cosmos Cosmos NNP cord-030686-wv77zwsc 50 2 [ [ -LRB- cord-030686-wv77zwsc 50 3 1 1 CD cord-030686-wv77zwsc 50 4 ] ] -RRB- cord-030686-wv77zwsc 50 5 and and CC cord-030686-wv77zwsc 50 6 ftres ftre NNS cord-030686-wv77zwsc 50 7 [ [ -LRB- cord-030686-wv77zwsc 50 8 26 26 CD cord-030686-wv77zwsc 50 9 ] ] -RRB- cord-030686-wv77zwsc 50 10 implement implement VB cord-030686-wv77zwsc 50 11 importance importance NN cord-030686-wv77zwsc 50 12 sampling sampling NN cord-030686-wv77zwsc 50 13 on on IN cord-030686-wv77zwsc 50 14 Markov Markov NNP cord-030686-wv77zwsc 50 15 chains chain NNS cord-030686-wv77zwsc 50 16 , , , cord-030686-wv77zwsc 50 17 the the DT cord-030686-wv77zwsc 50 18 latter latter JJ cord-030686-wv77zwsc 50 19 specialising specialise VBG cord-030686-wv77zwsc 50 20 in in IN cord-030686-wv77zwsc 50 21 systems system NNS cord-030686-wv77zwsc 50 22 described describe VBN cord-030686-wv77zwsc 50 23 as as IN cord-030686-wv77zwsc 50 24 repairable repairable JJ cord-030686-wv77zwsc 50 25 Dynamic dynamic JJ cord-030686-wv77zwsc 50 26 Fault fault NN cord-030686-wv77zwsc 50 27 Trees tree NNS cord-030686-wv77zwsc 50 28 ( ( -LRB- cord-030686-wv77zwsc 50 29 dfts dft NNS cord-030686-wv77zwsc 50 30 ) ) -RRB- cord-030686-wv77zwsc 50 31 . . . cord-030686-wv77zwsc 51 1 All all PDT cord-030686-wv77zwsc 51 2 these these DT cord-030686-wv77zwsc 51 3 tools tool NNS cord-030686-wv77zwsc 51 4 can can MD cord-030686-wv77zwsc 51 5 operate operate VB cord-030686-wv77zwsc 51 6 directly directly RB cord-030686-wv77zwsc 51 7 on on IN cord-030686-wv77zwsc 51 8 Markovian markovian JJ cord-030686-wv77zwsc 51 9 models model NNS cord-030686-wv77zwsc 51 10 , , , cord-030686-wv77zwsc 51 11 and and CC cord-030686-wv77zwsc 51 12 none none NN cord-030686-wv77zwsc 51 13 offers offer VBZ cord-030686-wv77zwsc 51 14 fully fully RB cord-030686-wv77zwsc 51 15 automated automate VBN cord-030686-wv77zwsc 51 16 isplit isplit NNP cord-030686-wv77zwsc 51 17 . . . cord-030686-wv77zwsc 52 1 Instead instead RB cord-030686-wv77zwsc 52 2 , , , cord-030686-wv77zwsc 52 3 the the DT cord-030686-wv77zwsc 52 4 smc smc NNP cord-030686-wv77zwsc 52 5 tool tool NN cord-030686-wv77zwsc 52 6 modes mode NNS cord-030686-wv77zwsc 52 7 can can MD cord-030686-wv77zwsc 52 8 also also RB cord-030686-wv77zwsc 52 9 cope cope VB cord-030686-wv77zwsc 52 10 with with IN cord-030686-wv77zwsc 52 11 nondeterminism nondeterminism NN cord-030686-wv77zwsc 52 12 ( ( -LRB- cord-030686-wv77zwsc 52 13 e.g. e.g. RB cord-030686-wv77zwsc 52 14 in in IN cord-030686-wv77zwsc 52 15 Markov Markov NNP cord-030686-wv77zwsc 52 16 automata automata NN cord-030686-wv77zwsc 52 17 ) ) -RRB- cord-030686-wv77zwsc 52 18 using use VBG cord-030686-wv77zwsc 52 19 the the DT cord-030686-wv77zwsc 52 20 LSS LSS NNP cord-030686-wv77zwsc 52 21 algorithm algorithm NN cord-030686-wv77zwsc 52 22 [ [ -LRB- cord-030686-wv77zwsc 52 23 10 10 CD cord-030686-wv77zwsc 52 24 , , , cord-030686-wv77zwsc 52 25 5 5 CD cord-030686-wv77zwsc 52 26 ] ] -RRB- cord-030686-wv77zwsc 52 27 . . . cord-030686-wv77zwsc 53 1 On on IN cord-030686-wv77zwsc 53 2 the the DT cord-030686-wv77zwsc 53 3 other other JJ cord-030686-wv77zwsc 53 4 hand hand NN cord-030686-wv77zwsc 53 5 , , , cord-030686-wv77zwsc 53 6 using use VBG cord-030686-wv77zwsc 53 7 the the DT cord-030686-wv77zwsc 53 8 batch batch NN cord-030686-wv77zwsc 53 9 means mean NNS cord-030686-wv77zwsc 53 10 method method NN cord-030686-wv77zwsc 53 11 , , , cord-030686-wv77zwsc 53 12 FIG FIG NNP cord-030686-wv77zwsc 53 13 can can MD cord-030686-wv77zwsc 53 14 estimate estimate VB cord-030686-wv77zwsc 53 15 steady steady JJ cord-030686-wv77zwsc 53 16 - - HYPH cord-030686-wv77zwsc 53 17 state state NN cord-030686-wv77zwsc 53 18 properties property NNS cord-030686-wv77zwsc 53 19 , , , cord-030686-wv77zwsc 53 20 which which WDT cord-030686-wv77zwsc 53 21 modes mode NNS cord-030686-wv77zwsc 53 22 can can MD cord-030686-wv77zwsc 53 23 not not RB cord-030686-wv77zwsc 53 24 currently currently RB cord-030686-wv77zwsc 53 25 do do VB cord-030686-wv77zwsc 53 26 . . . cord-030686-wv77zwsc 54 1 Moreover moreover RB cord-030686-wv77zwsc 54 2 , , , cord-030686-wv77zwsc 54 3 _SP cord-030686-wv77zwsc 54 4 res res FW cord-030686-wv77zwsc 54 5 methods method NNS cord-030686-wv77zwsc 54 6 make make VBP cord-030686-wv77zwsc 54 7 more more JJR cord-030686-wv77zwsc 54 8 traces trace NNS cord-030686-wv77zwsc 54 9 visit visit VB cord-030686-wv77zwsc 54 10 the the DT cord-030686-wv77zwsc 54 11 rare rare JJ cord-030686-wv77zwsc 54 12 states state NNS cord-030686-wv77zwsc 54 13 that that WDT cord-030686-wv77zwsc 54 14 satisfy satisfy VBP cord-030686-wv77zwsc 54 15 a a DT cord-030686-wv77zwsc 54 16 property property NN cord-030686-wv77zwsc 54 17 ϕ ϕ NN cord-030686-wv77zwsc 54 18 ( ( -LRB- cord-030686-wv77zwsc 54 19 the the DT cord-030686-wv77zwsc 54 20 set set NN cord-030686-wv77zwsc 54 21 S S NNP cord-030686-wv77zwsc 54 22 ϕ ϕ NN cord-030686-wv77zwsc 54 23 ) ) -RRB- cord-030686-wv77zwsc 54 24 , , , cord-030686-wv77zwsc 54 25 to to TO cord-030686-wv77zwsc 54 26 reduce reduce VB cord-030686-wv77zwsc 54 27 the the DT cord-030686-wv77zwsc 54 28 variance variance NN cord-030686-wv77zwsc 54 29 of of IN cord-030686-wv77zwsc 54 30 smc smc NNP cord-030686-wv77zwsc 54 31 estimators estimator NNS cord-030686-wv77zwsc 54 32 . . . cord-030686-wv77zwsc 55 1 For for IN cord-030686-wv77zwsc 55 2 a a DT cord-030686-wv77zwsc 55 3 fixed fixed JJ cord-030686-wv77zwsc 55 4 budget budget NN cord-030686-wv77zwsc 55 5 of of IN cord-030686-wv77zwsc 55 6 traces trace NNS cord-030686-wv77zwsc 55 7 n n CC cord-030686-wv77zwsc 55 8 , , , cord-030686-wv77zwsc 55 9 this this DT cord-030686-wv77zwsc 55 10 yields yield VBZ cord-030686-wv77zwsc 55 11 more more RBR cord-030686-wv77zwsc 55 12 precise precise JJ cord-030686-wv77zwsc 55 13 cis cis NNP cord-030686-wv77zwsc 55 14 than than IN cord-030686-wv77zwsc 55 15 classical classical JJ cord-030686-wv77zwsc 55 16 Monte Monte NNP cord-030686-wv77zwsc 55 17 Carlo Carlo NNP cord-030686-wv77zwsc 55 18 simulation simulation NN cord-030686-wv77zwsc 55 19 ( ( -LRB- cord-030686-wv77zwsc 55 20 cmc cmc NNP cord-030686-wv77zwsc 55 21 ) ) -RRB- cord-030686-wv77zwsc 55 22 . . . cord-030686-wv77zwsc 56 1 FIG fig NN cord-030686-wv77zwsc 56 2 implements implement VBZ cord-030686-wv77zwsc 56 3 importance importance NN cord-030686-wv77zwsc 56 4 splitting splitting NN cord-030686-wv77zwsc 56 5 : : : cord-030686-wv77zwsc 56 6 a a DT cord-030686-wv77zwsc 56 7 main main JJ cord-030686-wv77zwsc 56 8 res res NN cord-030686-wv77zwsc 56 9 method method NN cord-030686-wv77zwsc 56 10 that that WDT cord-030686-wv77zwsc 56 11 can can MD cord-030686-wv77zwsc 56 12 work work VB cord-030686-wv77zwsc 56 13 on on IN cord-030686-wv77zwsc 56 14 non non JJ cord-030686-wv77zwsc 56 15 - - JJ cord-030686-wv77zwsc 56 16 Markovian markovian JJ cord-030686-wv77zwsc 56 17 systems system NNS cord-030686-wv77zwsc 56 18 without without IN cord-030686-wv77zwsc 56 19 special special JJ cord-030686-wv77zwsc 56 20 considerations consideration NNS cord-030686-wv77zwsc 56 21 . . . cord-030686-wv77zwsc 57 1 isplit isplit NNP cord-030686-wv77zwsc 57 2 splits split VBZ cord-030686-wv77zwsc 57 3 the the DT cord-030686-wv77zwsc 57 4 states state NNS cord-030686-wv77zwsc 57 5 of of IN cord-030686-wv77zwsc 57 6 the the DT cord-030686-wv77zwsc 57 7 model model NN cord-030686-wv77zwsc 57 8 into into IN cord-030686-wv77zwsc 57 9 layers layer NNS cord-030686-wv77zwsc 57 10 that that WDT cord-030686-wv77zwsc 57 11 wrap wrap VBP cord-030686-wv77zwsc 57 12 S S NNP cord-030686-wv77zwsc 57 13 ϕ ϕ NN cord-030686-wv77zwsc 57 14 like like IN cord-030686-wv77zwsc 57 15 an an DT cord-030686-wv77zwsc 57 16 onion onion NN cord-030686-wv77zwsc 57 17 . . . cord-030686-wv77zwsc 58 1 Reaching reach VBG cord-030686-wv77zwsc 58 2 a a DT cord-030686-wv77zwsc 58 3 state state NN cord-030686-wv77zwsc 58 4 in in IN cord-030686-wv77zwsc 58 5 S S NNP cord-030686-wv77zwsc 58 6 ϕ ϕ NN cord-030686-wv77zwsc 58 7 from from IN cord-030686-wv77zwsc 58 8 the the DT cord-030686-wv77zwsc 58 9 surface surface NN cord-030686-wv77zwsc 58 10 is be VBZ cord-030686-wv77zwsc 58 11 then then RB cord-030686-wv77zwsc 58 12 broken break VBN cord-030686-wv77zwsc 58 13 down down RP cord-030686-wv77zwsc 58 14 into into IN cord-030686-wv77zwsc 58 15 many many JJ cord-030686-wv77zwsc 58 16 steps step NNS cord-030686-wv77zwsc 58 17 . . . cord-030686-wv77zwsc 59 1 The the DT cord-030686-wv77zwsc 59 2 i i NN cord-030686-wv77zwsc 59 3 - - HYPH cord-030686-wv77zwsc 59 4 th th RP cord-030686-wv77zwsc 59 5 step step NN cord-030686-wv77zwsc 59 6 estimates estimate VBZ cord-030686-wv77zwsc 59 7 the the DT cord-030686-wv77zwsc 59 8 conditional conditional JJ cord-030686-wv77zwsc 59 9 probability probability NN cord-030686-wv77zwsc 59 10 to to TO cord-030686-wv77zwsc 59 11 reach reach VB cord-030686-wv77zwsc 59 12 ( ( -LRB- cord-030686-wv77zwsc 59 13 the the DT cord-030686-wv77zwsc 59 14 inner inner NN cord-030686-wv77zwsc 59 15 ) ) -RRB- cord-030686-wv77zwsc 59 16 layer layer NN cord-030686-wv77zwsc 59 17 i i PRP cord-030686-wv77zwsc 59 18 + + SYM cord-030686-wv77zwsc 59 19 1 1 CD cord-030686-wv77zwsc 59 20 from from IN cord-030686-wv77zwsc 59 21 ( ( -LRB- cord-030686-wv77zwsc 59 22 the the DT cord-030686-wv77zwsc 59 23 outer outer NN cord-030686-wv77zwsc 59 24 ) ) -RRB- cord-030686-wv77zwsc 59 25 layer layer NN cord-030686-wv77zwsc 60 1 i. i. NNP cord-030686-wv77zwsc 61 1 This this DT cord-030686-wv77zwsc 61 2 stepwise stepwise JJ cord-030686-wv77zwsc 61 3 estimation estimation NN cord-030686-wv77zwsc 61 4 of of IN cord-030686-wv77zwsc 61 5 conditional conditional JJ cord-030686-wv77zwsc 61 6 probabilities probability NNS cord-030686-wv77zwsc 61 7 can can MD cord-030686-wv77zwsc 61 8 be be VB cord-030686-wv77zwsc 61 9 much much RB cord-030686-wv77zwsc 61 10 more more RBR cord-030686-wv77zwsc 61 11 efficient efficient JJ cord-030686-wv77zwsc 61 12 than than IN cord-030686-wv77zwsc 61 13 trying try VBG cord-030686-wv77zwsc 61 14 to to TO cord-030686-wv77zwsc 61 15 go go VB cord-030686-wv77zwsc 61 16 in in IN cord-030686-wv77zwsc 61 17 one one CD cord-030686-wv77zwsc 61 18 leap leap NN cord-030686-wv77zwsc 61 19 from from IN cord-030686-wv77zwsc 61 20 the the DT cord-030686-wv77zwsc 61 21 surface surface NN cord-030686-wv77zwsc 61 22 of of IN cord-030686-wv77zwsc 61 23 the the DT cord-030686-wv77zwsc 61 24 onion onion NN cord-030686-wv77zwsc 61 25 to to IN cord-030686-wv77zwsc 61 26 its -PRON- PRP$ cord-030686-wv77zwsc 61 27 core core NN cord-030686-wv77zwsc 61 28 [ [ -LRB- cord-030686-wv77zwsc 61 29 20 20 CD cord-030686-wv77zwsc 61 30 ] ] -RRB- cord-030686-wv77zwsc 61 31 . . . cord-030686-wv77zwsc 62 1 Formally formally RB cord-030686-wv77zwsc 62 2 , , , cord-030686-wv77zwsc 62 3 let let VB cord-030686-wv77zwsc 62 4 S S NNP cord-030686-wv77zwsc 62 5 be be VB cord-030686-wv77zwsc 62 6 the the DT cord-030686-wv77zwsc 62 7 states state NNS cord-030686-wv77zwsc 62 8 of of IN cord-030686-wv77zwsc 62 9 a a DT cord-030686-wv77zwsc 62 10 model model NN cord-030686-wv77zwsc 62 11 with with IN cord-030686-wv77zwsc 62 12 initial initial JJ cord-030686-wv77zwsc 62 13 states state NNS cord-030686-wv77zwsc 62 14 S S NNP cord-030686-wv77zwsc 62 15 0 0 CD cord-030686-wv77zwsc 62 16 and and CC cord-030686-wv77zwsc 62 17 rare rare JJ cord-030686-wv77zwsc 62 18 states state NNS cord-030686-wv77zwsc 63 1 This this DT cord-030686-wv77zwsc 63 2 approach approach NN cord-030686-wv77zwsc 63 3 is be VBZ cord-030686-wv77zwsc 63 4 correct correct JJ cord-030686-wv77zwsc 63 5 , , , cord-030686-wv77zwsc 63 6 i.e. i.e. FW cord-030686-wv77zwsc 63 7 it -PRON- PRP cord-030686-wv77zwsc 63 8 yields yield VBZ cord-030686-wv77zwsc 63 9 an an DT cord-030686-wv77zwsc 63 10 unbiased unbiased JJ cord-030686-wv77zwsc 63 11 estimatorγ estimatorγ NNS cord-030686-wv77zwsc 63 12 which which WDT cord-030686-wv77zwsc 63 13 depends depend VBZ cord-030686-wv77zwsc 63 14 on on IN cord-030686-wv77zwsc 63 15 how how WRB cord-030686-wv77zwsc 63 16 the the DT cord-030686-wv77zwsc 63 17 S S NNP cord-030686-wv77zwsc 63 18 i i NN cord-030686-wv77zwsc 63 19 layers layer NNS cord-030686-wv77zwsc 63 20 where where WRB cord-030686-wv77zwsc 63 21 chosen choose VBN cord-030686-wv77zwsc 63 22 . . . cord-030686-wv77zwsc 64 1 For for IN cord-030686-wv77zwsc 64 2 this this DT cord-030686-wv77zwsc 64 3 , , , cord-030686-wv77zwsc 64 4 an an DT cord-030686-wv77zwsc 64 5 importance importance NN cord-030686-wv77zwsc 64 6 function function NN cord-030686-wv77zwsc 64 7 f f NNP cord-030686-wv77zwsc 64 8 : : : cord-030686-wv77zwsc 64 9 S s NN cord-030686-wv77zwsc 64 10 → → SYM cord-030686-wv77zwsc 64 11 R r NN cord-030686-wv77zwsc 64 12 0 0 CD cord-030686-wv77zwsc 64 13 and and CC cord-030686-wv77zwsc 64 14 thresholds threshold NNS cord-030686-wv77zwsc 64 15 i i PRP cord-030686-wv77zwsc 64 16 ∈ ∈ VBP cord-030686-wv77zwsc 64 17 R r NN cord-030686-wv77zwsc 64 18 0 0 CD cord-030686-wv77zwsc 64 19 are be VBP cord-030686-wv77zwsc 64 20 defined define VBN cord-030686-wv77zwsc 64 21 : : : cord-030686-wv77zwsc 64 22 and and CC cord-030686-wv77zwsc 64 23 the the DT cord-030686-wv77zwsc 64 24 importance importance NN cord-030686-wv77zwsc 64 25 function function NN cord-030686-wv77zwsc 64 26 f f NNP cord-030686-wv77zwsc 64 27 . . . cord-030686-wv77zwsc 65 1 These these DT cord-030686-wv77zwsc 65 2 choices choice NNS cord-030686-wv77zwsc 65 3 are be VBP cord-030686-wv77zwsc 65 4 the the DT cord-030686-wv77zwsc 65 5 key key JJ cord-030686-wv77zwsc 65 6 challenge challenge NN cord-030686-wv77zwsc 65 7 in in IN cord-030686-wv77zwsc 65 8 isplit isplit NNP cord-030686-wv77zwsc 65 9 [ [ -LRB- cord-030686-wv77zwsc 65 10 20 20 CD cord-030686-wv77zwsc 65 11 ] ] -RRB- cord-030686-wv77zwsc 65 12 . . . cord-030686-wv77zwsc 66 1 Theoretical theoretical JJ cord-030686-wv77zwsc 66 2 developments development NNS cord-030686-wv77zwsc 66 3 assume assume VBP cord-030686-wv77zwsc 66 4 f f NNP cord-030686-wv77zwsc 66 5 is be VBZ cord-030686-wv77zwsc 66 6 given give VBN cord-030686-wv77zwsc 66 7 [ [ -LRB- cord-030686-wv77zwsc 66 8 12 12 CD cord-030686-wv77zwsc 66 9 , , , cord-030686-wv77zwsc 66 10 8 8 CD cord-030686-wv77zwsc 66 11 ] ] -RRB- cord-030686-wv77zwsc 66 12 , , , cord-030686-wv77zwsc 66 13 and and CC cord-030686-wv77zwsc 66 14 applications application NNS cord-030686-wv77zwsc 66 15 define define VBP cord-030686-wv77zwsc 66 16 it -PRON- PRP cord-030686-wv77zwsc 66 17 ad ad FW cord-030686-wv77zwsc 66 18 hoc hoc FW cord-030686-wv77zwsc 66 19 via via IN cord-030686-wv77zwsc 66 20 ( ( -LRB- cord-030686-wv77zwsc 66 21 res re NNS cord-030686-wv77zwsc 66 22 and and CC cord-030686-wv77zwsc 66 23 domain domain NN cord-030686-wv77zwsc 66 24 ) ) -RRB- cord-030686-wv77zwsc 66 25 expert expert JJ cord-030686-wv77zwsc 66 26 knowledge knowledge NN cord-030686-wv77zwsc 66 27 [ [ -LRB- cord-030686-wv77zwsc 66 28 30 30 CD cord-030686-wv77zwsc 66 29 , , , cord-030686-wv77zwsc 66 30 27 27 CD cord-030686-wv77zwsc 66 31 ] ] -RRB- cord-030686-wv77zwsc 66 32 . . . cord-030686-wv77zwsc 67 1 Yet yet CC cord-030686-wv77zwsc 67 2 there there EX cord-030686-wv77zwsc 67 3 is be VBZ cord-030686-wv77zwsc 67 4 one one CD cord-030686-wv77zwsc 67 5 general general JJ cord-030686-wv77zwsc 67 6 rule rule NN cord-030686-wv77zwsc 67 7 : : : cord-030686-wv77zwsc 67 8 importance importance NN cord-030686-wv77zwsc 67 9 must must MD cord-030686-wv77zwsc 67 10 be be VB cord-030686-wv77zwsc 67 11 proportional proportional JJ cord-030686-wv77zwsc 67 12 to to IN cord-030686-wv77zwsc 67 13 the the DT cord-030686-wv77zwsc 67 14 probability probability NN cord-030686-wv77zwsc 67 15 of of IN cord-030686-wv77zwsc 67 16 reaching reach VBG cord-030686-wv77zwsc 67 17 S S NNP cord-030686-wv77zwsc 67 18 ϕ ϕ NN cord-030686-wv77zwsc 67 19 . . . cord-030686-wv77zwsc 68 1 Thus thus RB cord-030686-wv77zwsc 68 2 for for IN cord-030686-wv77zwsc 68 3 s s NNP cord-030686-wv77zwsc 68 4 , , , cord-030686-wv77zwsc 68 5 s s NNP cord-030686-wv77zwsc 68 6 ∈ ∈ NNP cord-030686-wv77zwsc 68 7 S S NNP cord-030686-wv77zwsc 68 8 , , , cord-030686-wv77zwsc 68 9 if if IN cord-030686-wv77zwsc 68 10 a a DT cord-030686-wv77zwsc 68 11 trace trace NN cord-030686-wv77zwsc 68 12 that that WDT cord-030686-wv77zwsc 68 13 visits visit VBZ cord-030686-wv77zwsc 68 14 s s POS cord-030686-wv77zwsc 68 15 is be VBZ cord-030686-wv77zwsc 68 16 more more RBR cord-030686-wv77zwsc 68 17 likely likely JJ cord-030686-wv77zwsc 68 18 to to TO cord-030686-wv77zwsc 68 19 observe observe VB cord-030686-wv77zwsc 68 20 a a DT cord-030686-wv77zwsc 68 21 rare rare JJ cord-030686-wv77zwsc 68 22 state state NN cord-030686-wv77zwsc 68 23 , , , cord-030686-wv77zwsc 68 24 one one NN cord-030686-wv77zwsc 68 25 wants want VBZ cord-030686-wv77zwsc 68 26 f f NNP cord-030686-wv77zwsc 68 27 ( ( -LRB- cord-030686-wv77zwsc 68 28 s s NN cord-030686-wv77zwsc 68 29 ) ) -RRB- cord-030686-wv77zwsc 68 30 f f NNP cord-030686-wv77zwsc 68 31 ( ( -LRB- cord-030686-wv77zwsc 68 32 s s NNP cord-030686-wv77zwsc 68 33 ) ) -RRB- cord-030686-wv77zwsc 68 34 . . . cord-030686-wv77zwsc 69 1 This this DT cord-030686-wv77zwsc 69 2 means mean VBZ cord-030686-wv77zwsc 69 3 that that IN cord-030686-wv77zwsc 69 4 f f NNP cord-030686-wv77zwsc 69 5 depends depend VBZ cord-030686-wv77zwsc 69 6 both both DT cord-030686-wv77zwsc 69 7 on on IN cord-030686-wv77zwsc 69 8 the the DT cord-030686-wv77zwsc 69 9 model model NN cord-030686-wv77zwsc 69 10 M M NNP cord-030686-wv77zwsc 69 11 and and CC cord-030686-wv77zwsc 69 12 the the DT cord-030686-wv77zwsc 69 13 property property NN cord-030686-wv77zwsc 70 1 ϕ ϕ NN cord-030686-wv77zwsc 70 2 that that WDT cord-030686-wv77zwsc 70 3 define define VBP cord-030686-wv77zwsc 70 4 S S NNP cord-030686-wv77zwsc 70 5 ϕ ϕ NN cord-030686-wv77zwsc 70 6 . . . cord-030686-wv77zwsc 71 1 In in IN cord-030686-wv77zwsc 71 2 iosa iosa JJ cord-030686-wv77zwsc 71 3 , , , cord-030686-wv77zwsc 71 4 continuous continuous JJ cord-030686-wv77zwsc 71 5 variables variable NNS cord-030686-wv77zwsc 71 6 called call VBD cord-030686-wv77zwsc 71 7 clocks clock NNS cord-030686-wv77zwsc 71 8 sample sample VB cord-030686-wv77zwsc 71 9 random random JJ cord-030686-wv77zwsc 71 10 values value NNS cord-030686-wv77zwsc 71 11 from from IN cord-030686-wv77zwsc 71 12 arbitrary arbitrary JJ cord-030686-wv77zwsc 71 13 distributions distribution NNS cord-030686-wv77zwsc 71 14 ( ( -LRB- cord-030686-wv77zwsc 71 15 pdfs pdfs NNP cord-030686-wv77zwsc 71 16 ) ) -RRB- cord-030686-wv77zwsc 71 17 . . . cord-030686-wv77zwsc 72 1 As as IN cord-030686-wv77zwsc 72 2 time time NN cord-030686-wv77zwsc 72 3 evolves evolve VBZ cord-030686-wv77zwsc 72 4 , , , cord-030686-wv77zwsc 72 5 all all DT cord-030686-wv77zwsc 72 6 clocks clock NNS cord-030686-wv77zwsc 72 7 count count VBP cord-030686-wv77zwsc 72 8 down down RP cord-030686-wv77zwsc 72 9 at at IN cord-030686-wv77zwsc 72 10 the the DT cord-030686-wv77zwsc 72 11 same same JJ cord-030686-wv77zwsc 72 12 rate rate NN cord-030686-wv77zwsc 72 13 . . . cord-030686-wv77zwsc 73 1 The the DT cord-030686-wv77zwsc 73 2 first first JJ cord-030686-wv77zwsc 73 3 to to TO cord-030686-wv77zwsc 73 4 reach reach VB cord-030686-wv77zwsc 73 5 zero zero CD cord-030686-wv77zwsc 73 6 can can MD cord-030686-wv77zwsc 73 7 trigger trigger VB cord-030686-wv77zwsc 73 8 events event NNS cord-030686-wv77zwsc 73 9 and and CC cord-030686-wv77zwsc 73 10 synchronise synchronise VB cord-030686-wv77zwsc 73 11 with with IN cord-030686-wv77zwsc 73 12 other other JJ cord-030686-wv77zwsc 73 13 modules module NNS cord-030686-wv77zwsc 73 14 , , , cord-030686-wv77zwsc 73 15 broadcasting broadcast VBG cord-030686-wv77zwsc 73 16 an an DT cord-030686-wv77zwsc 73 17 output output NN cord-030686-wv77zwsc 73 18 action action NN cord-030686-wv77zwsc 73 19 that that WDT cord-030686-wv77zwsc 73 20 synchronises synchronise VBZ cord-030686-wv77zwsc 73 21 with with IN cord-030686-wv77zwsc 73 22 homonymous homonymous JJ cord-030686-wv77zwsc 73 23 input input NN cord-030686-wv77zwsc 73 24 actions action NNS cord-030686-wv77zwsc 73 25 ( ( -LRB- cord-030686-wv77zwsc 73 26 iosa iosa NNP cord-030686-wv77zwsc 73 27 are be VBP cord-030686-wv77zwsc 73 28 input input NN cord-030686-wv77zwsc 73 29 - - HYPH cord-030686-wv77zwsc 73 30 enabled enable VBN cord-030686-wv77zwsc 73 31 ) ) -RRB- cord-030686-wv77zwsc 73 32 . . . cord-030686-wv77zwsc 74 1 Actions action NNS cord-030686-wv77zwsc 74 2 can can MD cord-030686-wv77zwsc 74 3 be be VB cord-030686-wv77zwsc 74 4 urgent urgent JJ cord-030686-wv77zwsc 74 5 , , , cord-030686-wv77zwsc 74 6 where where WRB cord-030686-wv77zwsc 74 7 urgent urgent JJ cord-030686-wv77zwsc 74 8 outputs output NNS cord-030686-wv77zwsc 74 9 have have VBP cord-030686-wv77zwsc 74 10 module module NN cord-030686-wv77zwsc 74 11 M1 M1 NNP cord-030686-wv77zwsc 74 12 fc fc NNP cord-030686-wv77zwsc 74 13 , , , cord-030686-wv77zwsc 74 14 rc rc NNP cord-030686-wv77zwsc 74 15 : : : cord-030686-wv77zwsc 74 16 clock clock NN cord-030686-wv77zwsc 74 17 ; ; : cord-030686-wv77zwsc 74 18 inf inf NNP cord-030686-wv77zwsc 74 19 , , , cord-030686-wv77zwsc 74 20 brk brk NNP cord-030686-wv77zwsc 74 21 : : : cord-030686-wv77zwsc 74 22 [ [ -LRB- cord-030686-wv77zwsc 74 23 0 0 NFP cord-030686-wv77zwsc 74 24 .. .. NFP cord-030686-wv77zwsc 74 25 2 2 LS cord-030686-wv77zwsc 74 26 ] ] -RRB- cord-030686-wv77zwsc 74 27 init init NN cord-030686-wv77zwsc 74 28 0 0 CD cord-030686-wv77zwsc 74 29 ; ; : cord-030686-wv77zwsc 74 30 , , , cord-030686-wv77zwsc 74 31 FIG FIG NNP cord-030686-wv77zwsc 74 32 1.2 1.2 CD cord-030686-wv77zwsc 74 33 reads read VBZ cord-030686-wv77zwsc 74 34 models model NNS cord-030686-wv77zwsc 74 35 written write VBN cord-030686-wv77zwsc 74 36 in in IN cord-030686-wv77zwsc 74 37 the the DT cord-030686-wv77zwsc 74 38 jani jani NNP cord-030686-wv77zwsc 74 39 exchange exchange NNP cord-030686-wv77zwsc 74 40 format format NN cord-030686-wv77zwsc 74 41 [ [ -LRB- cord-030686-wv77zwsc 74 42 7 7 CD cord-030686-wv77zwsc 74 43 ] ] -RRB- cord-030686-wv77zwsc 74 44 . . . cord-030686-wv77zwsc 75 1 Model model NN cord-030686-wv77zwsc 75 2 types type NNS cord-030686-wv77zwsc 75 3 supported support VBN cord-030686-wv77zwsc 75 4 are be VBP cord-030686-wv77zwsc 75 5 ctmc ctmc JJ cord-030686-wv77zwsc 75 6 and and CC cord-030686-wv77zwsc 75 7 a a DT cord-030686-wv77zwsc 75 8 subset subset NN cord-030686-wv77zwsc 75 9 of of IN cord-030686-wv77zwsc 75 10 sta sta NNP cord-030686-wv77zwsc 75 11 that that WDT cord-030686-wv77zwsc 75 12 matches match VBZ cord-030686-wv77zwsc 75 13 iosa iosa JJ cord-030686-wv77zwsc 75 14 , , , cord-030686-wv77zwsc 76 1 e.g. e.g. RB cord-030686-wv77zwsc 76 2 with with IN cord-030686-wv77zwsc 76 3 a a DT cord-030686-wv77zwsc 76 4 single single JJ cord-030686-wv77zwsc 76 5 pdf pdf NN cord-030686-wv77zwsc 76 6 per per IN cord-030686-wv77zwsc 76 7 clock clock NN cord-030686-wv77zwsc 76 8 and and CC cord-030686-wv77zwsc 76 9 broadcast broadcast NN cord-030686-wv77zwsc 76 10 synchronisation synchronisation NN cord-030686-wv77zwsc 76 11 . . . cord-030686-wv77zwsc 77 1 FIG FIG NNP cord-030686-wv77zwsc 77 2 also also RB cord-030686-wv77zwsc 77 3 translates translate VBZ cord-030686-wv77zwsc 77 4 iosa iosa JJ cord-030686-wv77zwsc 77 5 to to IN cord-030686-wv77zwsc 77 6 jani jani NNP cord-030686-wv77zwsc 77 7 as as IN cord-030686-wv77zwsc 77 8 sta sta NNP cord-030686-wv77zwsc 77 9 , , , cord-030686-wv77zwsc 77 10 to to TO cord-030686-wv77zwsc 77 11 share share VB cord-030686-wv77zwsc 77 12 models model NNS cord-030686-wv77zwsc 77 13 with with IN cord-030686-wv77zwsc 77 14 tools tool NNS cord-030686-wv77zwsc 77 15 such such JJ cord-030686-wv77zwsc 77 16 as as IN cord-030686-wv77zwsc 77 17 the the DT cord-030686-wv77zwsc 77 18 Modest Modest NNP cord-030686-wv77zwsc 77 19 Toolset Toolset NNP cord-030686-wv77zwsc 77 20 [ [ -LRB- cord-030686-wv77zwsc 77 21 16 16 CD cord-030686-wv77zwsc 77 22 ] ] -RRB- cord-030686-wv77zwsc 77 23 and and CC cord-030686-wv77zwsc 77 24 Storm Storm NNP cord-030686-wv77zwsc 77 25 [ [ -LRB- cord-030686-wv77zwsc 77 26 13 13 CD cord-030686-wv77zwsc 77 27 ] ] -RRB- cord-030686-wv77zwsc 77 28 . . . cord-030686-wv77zwsc 78 1 This this DT cord-030686-wv77zwsc 78 2 is be VBZ cord-030686-wv77zwsc 78 3 used use VBN cord-030686-wv77zwsc 78 4 in in IN cord-030686-wv77zwsc 78 5 Sec Sec NNP cord-030686-wv77zwsc 78 6 . . . cord-030686-wv77zwsc 79 1 4 4 LS cord-030686-wv77zwsc 79 2 for for IN cord-030686-wv77zwsc 79 3 comparisons comparison NNS cord-030686-wv77zwsc 79 4 . . . cord-030686-wv77zwsc 80 1 Properties property NNS cord-030686-wv77zwsc 80 2 . . . cord-030686-wv77zwsc 81 1 FIG FIG NNP cord-030686-wv77zwsc 81 2 builders builder NNS cord-030686-wv77zwsc 81 3 . . . cord-030686-wv77zwsc 82 1 Engines engine NNS cord-030686-wv77zwsc 82 2 are be VBP cord-030686-wv77zwsc 82 3 nosplit nosplit VBN cord-030686-wv77zwsc 82 4 , , , cord-030686-wv77zwsc 82 5 restart restart VB cord-030686-wv77zwsc 82 6 , , , cord-030686-wv77zwsc 82 7 and and CC cord-030686-wv77zwsc 82 8 sfe sfe NNP cord-030686-wv77zwsc 82 9 , , , cord-030686-wv77zwsc 82 10 which which WDT cord-030686-wv77zwsc 82 11 resp resp NNP cord-030686-wv77zwsc 82 12 . . . cord-030686-wv77zwsc 82 13 run run NNP cord-030686-wv77zwsc 82 14 cmc cmc NNP cord-030686-wv77zwsc 82 15 , , , cord-030686-wv77zwsc 82 16 restart restart VB cord-030686-wv77zwsc 82 17 ( ( -LRB- cord-030686-wv77zwsc 82 18 rst rst VB cord-030686-wv77zwsc 82 19 [ [ -LRB- cord-030686-wv77zwsc 82 20 31 31 CD cord-030686-wv77zwsc 82 21 ] ] -RRB- cord-030686-wv77zwsc 82 22 ) ) -RRB- cord-030686-wv77zwsc 82 23 , , , cord-030686-wv77zwsc 82 24 and and CC cord-030686-wv77zwsc 82 25 Fixed Fixed NNP cord-030686-wv77zwsc 82 26 Effort Effort NNP cord-030686-wv77zwsc 82 27 ( ( -LRB- cord-030686-wv77zwsc 82 28 fe fe XX cord-030686-wv77zwsc 82 29 [ [ -LRB- cord-030686-wv77zwsc 82 30 14 14 CD cord-030686-wv77zwsc 82 31 ] ] -RRB- cord-030686-wv77zwsc 82 32 ) ) -RRB- cord-030686-wv77zwsc 82 33 simulations simulation NNS cord-030686-wv77zwsc 82 34 . . . cord-030686-wv77zwsc 83 1 The the DT cord-030686-wv77zwsc 83 2 latter latter JJ cord-030686-wv77zwsc 83 3 two two CD cord-030686-wv77zwsc 83 4 are be VBP cord-030686-wv77zwsc 83 5 isplit isplit VBN cord-030686-wv77zwsc 83 6 algorithms algorithm NNS cord-030686-wv77zwsc 83 7 : : : cord-030686-wv77zwsc 84 1 fe fe NNP cord-030686-wv77zwsc 84 2 was be VBD cord-030686-wv77zwsc 84 3 described describe VBN cord-030686-wv77zwsc 84 4 in in IN cord-030686-wv77zwsc 84 5 Sec Sec NNP cord-030686-wv77zwsc 84 6 . . NNP cord-030686-wv77zwsc 84 7 2 2 CD cord-030686-wv77zwsc 84 8 , , , cord-030686-wv77zwsc 84 9 and and CC cord-030686-wv77zwsc 84 10 works work VBZ cord-030686-wv77zwsc 84 11 for for IN cord-030686-wv77zwsc 84 12 transient transient JJ cord-030686-wv77zwsc 84 13 properties property NNS cord-030686-wv77zwsc 84 14 ; ; : cord-030686-wv77zwsc 84 15 rst rst NNP cord-030686-wv77zwsc 84 16 also also RB cord-030686-wv77zwsc 84 17 works work VBZ cord-030686-wv77zwsc 84 18 for for IN cord-030686-wv77zwsc 84 19 steady steady JJ cord-030686-wv77zwsc 84 20 - - HYPH cord-030686-wv77zwsc 84 21 state state NN cord-030686-wv77zwsc 84 22 analysis analysis NN cord-030686-wv77zwsc 84 23 ( ( -LRB- cord-030686-wv77zwsc 84 24 steady steady JJ cord-030686-wv77zwsc 84 25 - - HYPH cord-030686-wv77zwsc 84 26 state state NN cord-030686-wv77zwsc 84 27 via via IN cord-030686-wv77zwsc 84 28 fe fe NNP cord-030686-wv77zwsc 84 29 requires require VBZ cord-030686-wv77zwsc 84 30 regeneration regeneration NN cord-030686-wv77zwsc 84 31 theory theory NN cord-030686-wv77zwsc 84 32 [ [ -LRB- cord-030686-wv77zwsc 84 33 15 15 CD cord-030686-wv77zwsc 84 34 ] ] -RRB- cord-030686-wv77zwsc 84 35 , , , cord-030686-wv77zwsc 84 36 seldom seldom RB cord-030686-wv77zwsc 84 37 applicable applicable JJ cord-030686-wv77zwsc 84 38 to to IN cord-030686-wv77zwsc 84 39 non non JJ cord-030686-wv77zwsc 84 40 - - JJ cord-030686-wv77zwsc 84 41 Markovian markovian JJ cord-030686-wv77zwsc 84 42 models model NNS cord-030686-wv77zwsc 84 43 and and CC cord-030686-wv77zwsc 84 44 unsupported unsupported JJ cord-030686-wv77zwsc 84 45 by by IN cord-030686-wv77zwsc 84 46 All all PDT cord-030686-wv77zwsc 84 47 these these DT cord-030686-wv77zwsc 84 48 experiments experiment NNS cord-030686-wv77zwsc 84 49 can can MD cord-030686-wv77zwsc 84 50 be be VB cord-030686-wv77zwsc 84 51 reproduced reproduce VBN cord-030686-wv77zwsc 84 52 via via IN cord-030686-wv77zwsc 84 53 the the DT cord-030686-wv77zwsc 84 54 artifact artifact NN cord-030686-wv77zwsc 84 55 freely freely RB cord-030686-wv77zwsc 84 56 available available JJ cord-030686-wv77zwsc 84 57 in in IN cord-030686-wv77zwsc 84 58 [ [ -LRB- cord-030686-wv77zwsc 84 59 3 3 CD cord-030686-wv77zwsc 84 60 ] ] -RRB- cord-030686-wv77zwsc 84 61 . . . cord-030686-wv77zwsc 85 1 We -PRON- PRP cord-030686-wv77zwsc 85 2 test test VBP cord-030686-wv77zwsc 85 3 different different JJ cord-030686-wv77zwsc 85 4 configurations configuration NNS cord-030686-wv77zwsc 85 5 of of IN cord-030686-wv77zwsc 85 6 engines engine NNS cord-030686-wv77zwsc 85 7 , , , cord-030686-wv77zwsc 85 8 efforts effort NNS cord-030686-wv77zwsc 85 9 , , , cord-030686-wv77zwsc 85 10 and and CC cord-030686-wv77zwsc 85 11 thresholds threshold NNS cord-030686-wv77zwsc 85 12 . . . cord-030686-wv77zwsc 86 1 For for IN cord-030686-wv77zwsc 86 2 each each DT cord-030686-wv77zwsc 86 3 configuration configuration NN cord-030686-wv77zwsc 86 4 we -PRON- PRP cord-030686-wv77zwsc 86 5 run run VBP cord-030686-wv77zwsc 86 6 simulations simulation NNS cord-030686-wv77zwsc 86 7 until until IN cord-030686-wv77zwsc 86 8 some some DT cord-030686-wv77zwsc 86 9 timeout timeout NN cord-030686-wv77zwsc 86 10 . . . cord-030686-wv77zwsc 87 1 This this DT cord-030686-wv77zwsc 87 2 yields yield VBZ cord-030686-wv77zwsc 87 3 a a DT cord-030686-wv77zwsc 87 4 ci ci NN cord-030686-wv77zwsc 87 5 with with IN cord-030686-wv77zwsc 87 6 precision precision NN cord-030686-wv77zwsc 87 7 2ε 2ε CD cord-030686-wv77zwsc 87 8 for for IN cord-030686-wv77zwsc 87 9 confidence confidence NN cord-030686-wv77zwsc 87 10 coefficient coefficient NN cord-030686-wv77zwsc 87 11 δ δ NN cord-030686-wv77zwsc 87 12 = = SYM cord-030686-wv77zwsc 87 13 0.95 0.95 CD cord-030686-wv77zwsc 87 14 . . . cord-030686-wv77zwsc 88 1 The the DT cord-030686-wv77zwsc 88 2 smaller small JJR cord-030686-wv77zwsc 88 3 the the DT cord-030686-wv77zwsc 88 4 ε ε NN cord-030686-wv77zwsc 88 5 , , , cord-030686-wv77zwsc 88 6 the the DT cord-030686-wv77zwsc 88 7 narrower narrow JJR cord-030686-wv77zwsc 88 8 the the DT cord-030686-wv77zwsc 88 9 ci ci NN cord-030686-wv77zwsc 88 10 , , , cord-030686-wv77zwsc 88 11 and and CC cord-030686-wv77zwsc 88 12 the the DT cord-030686-wv77zwsc 88 13 better well JJR cord-030686-wv77zwsc 88 14 the the DT cord-030686-wv77zwsc 88 15 performance performance NN cord-030686-wv77zwsc 88 16 of of IN cord-030686-wv77zwsc 88 17 the the DT cord-030686-wv77zwsc 88 18 configuration configuration NN cord-030686-wv77zwsc 88 19 ( ( -LRB- cord-030686-wv77zwsc 88 20 and and CC cord-030686-wv77zwsc 88 21 tool tool NN cord-030686-wv77zwsc 88 22 ) ) -RRB- cord-030686-wv77zwsc 88 23 that that WDT cord-030686-wv77zwsc 88 24 produced produce VBD cord-030686-wv77zwsc 88 25 it -PRON- PRP cord-030686-wv77zwsc 88 26 . . . cord-030686-wv77zwsc 89 1 First first RB cord-030686-wv77zwsc 89 2 , , , cord-030686-wv77zwsc 89 3 we -PRON- PRP cord-030686-wv77zwsc 89 4 analyse analyse VBP cord-030686-wv77zwsc 89 5 repairable repairable JJ cord-030686-wv77zwsc 89 6 dfts dft NNS cord-030686-wv77zwsc 89 7 with with IN cord-030686-wv77zwsc 89 8 warm warm JJ cord-030686-wv77zwsc 89 9 spares spare NNS cord-030686-wv77zwsc 89 10 and and CC cord-030686-wv77zwsc 89 11 exponential exponential JJ cord-030686-wv77zwsc 89 12 ( ( -LRB- cord-030686-wv77zwsc 89 13 fail fail VB cord-030686-wv77zwsc 89 14 ) ) -RRB- cord-030686-wv77zwsc 89 15 , , , cord-030686-wv77zwsc 89 16 normal normal JJ cord-030686-wv77zwsc 89 17 ( ( -LRB- cord-030686-wv77zwsc 89 18 repair repair NN cord-030686-wv77zwsc 89 19 ) ) -RRB- cord-030686-wv77zwsc 89 20 , , , cord-030686-wv77zwsc 89 21 and and CC cord-030686-wv77zwsc 89 22 lognormal lognormal JJ cord-030686-wv77zwsc 89 23 ( ( -LRB- cord-030686-wv77zwsc 89 24 dormancy dormancy NN cord-030686-wv77zwsc 89 25 ) ) -RRB- cord-030686-wv77zwsc 89 26 pdfs pdf NNS cord-030686-wv77zwsc 89 27 . . . cord-030686-wv77zwsc 90 1 Using use VBG cord-030686-wv77zwsc 90 2 cmc cmc NNP cord-030686-wv77zwsc 90 3 , , , cord-030686-wv77zwsc 90 4 fe fe NNP cord-030686-wv77zwsc 90 5 8,16,32 8,16,32 NNP cord-030686-wv77zwsc 90 6 and and CC cord-030686-wv77zwsc 90 7 rst rst NNP cord-030686-wv77zwsc 90 8 3,4,6 3,4,6 CD cord-030686-wv77zwsc 91 1 we -PRON- PRP cord-030686-wv77zwsc 91 2 estimate estimate VBP cord-030686-wv77zwsc 91 3 the the DT cord-030686-wv77zwsc 91 4 probability probability NN cord-030686-wv77zwsc 91 5 of of IN cord-030686-wv77zwsc 91 6 a a DT cord-030686-wv77zwsc 91 7 top top JJ cord-030686-wv77zwsc 91 8 level level NN cord-030686-wv77zwsc 91 9 event event NN cord-030686-wv77zwsc 91 10 after after IN cord-030686-wv77zwsc 91 11 the the DT cord-030686-wv77zwsc 91 12 first first JJ cord-030686-wv77zwsc 91 13 failure failure NN cord-030686-wv77zwsc 91 14 , , , cord-030686-wv77zwsc 91 15 before before IN cord-030686-wv77zwsc 91 16 all all DT cord-030686-wv77zwsc 91 17 components component NNS cord-030686-wv77zwsc 91 18 are be VBP cord-030686-wv77zwsc 91 19 repaired repair VBN cord-030686-wv77zwsc 91 20 , , , cord-030686-wv77zwsc 91 21 in in IN cord-030686-wv77zwsc 91 22 trees tree NNS cord-030686-wv77zwsc 91 23 with with IN cord-030686-wv77zwsc 91 24 6 6 CD cord-030686-wv77zwsc 91 25 , , , cord-030686-wv77zwsc 91 26 7 7 CD cord-030686-wv77zwsc 91 27 , , , cord-030686-wv77zwsc 91 28 and and CC cord-030686-wv77zwsc 91 29 8 8 CD cord-030686-wv77zwsc 91 30 spares spare NNS cord-030686-wv77zwsc 91 31 ( ( -LRB- cord-030686-wv77zwsc 91 32 the the DT cord-030686-wv77zwsc 91 33 smallest small JJS cord-030686-wv77zwsc 91 34 iosa iosa NNP cord-030686-wv77zwsc 91 35 has have VBZ cord-030686-wv77zwsc 91 36 116 116 CD cord-030686-wv77zwsc 91 37 variables variable NNS cord-030686-wv77zwsc 91 38 and and CC cord-030686-wv77zwsc 91 39 > > XX cord-030686-wv77zwsc 91 40 2.5 2.5 CD cord-030686-wv77zwsc 91 41 e e CD cord-030686-wv77zwsc 91 42 37 37 CD cord-030686-wv77zwsc 91 43 states state NNS cord-030686-wv77zwsc 91 44 ) ) -RRB- cord-030686-wv77zwsc 91 45 . . . cord-030686-wv77zwsc 92 1 For for IN cord-030686-wv77zwsc 92 2 isplit isplit NN cord-030686-wv77zwsc 92 3 we -PRON- PRP cord-030686-wv77zwsc 92 4 used use VBD cord-030686-wv77zwsc 92 5 seq seq NN cord-030686-wv77zwsc 92 6 thresholds threshold NNS cord-030686-wv77zwsc 92 7 with with IN cord-030686-wv77zwsc 92 8 --dft --dft CD cord-030686-wv77zwsc 92 9 0 0 CD cord-030686-wv77zwsc 92 10 --acomp --acomp NN cord-030686-wv77zwsc 92 11 and and CC cord-030686-wv77zwsc 92 12 no no DT cord-030686-wv77zwsc 92 13 arguments argument NNS cord-030686-wv77zwsc 92 14 , , , cord-030686-wv77zwsc 92 15 i.e. i.e. FW cord-030686-wv77zwsc 92 16 as as RB cord-030686-wv77zwsc 92 17 automatic automatic JJ cord-030686-wv77zwsc 92 18 as as IN cord-030686-wv77zwsc 92 19 cmc cmc NNP cord-030686-wv77zwsc 92 20 . . . cord-030686-wv77zwsc 93 1 With with IN cord-030686-wv77zwsc 93 2 a a DT cord-030686-wv77zwsc 93 3 20 20 CD cord-030686-wv77zwsc 93 4 min min NN cord-030686-wv77zwsc 93 5 timeout timeout NN cord-030686-wv77zwsc 93 6 , , , cord-030686-wv77zwsc 93 7 each each DT cord-030686-wv77zwsc 93 8 configuration configuration NN cord-030686-wv77zwsc 93 9 was be VBD cord-030686-wv77zwsc 93 10 repeated repeat VBN cord-030686-wv77zwsc 93 11 13 13 CD cord-030686-wv77zwsc 93 12 times time NNS cord-030686-wv77zwsc 93 13 in in IN cord-030686-wv77zwsc 93 14 a a DT cord-030686-wv77zwsc 93 15 Xeon Xeon NNP cord-030686-wv77zwsc 93 16 E5 E5 NNP cord-030686-wv77zwsc 93 17 - - HYPH cord-030686-wv77zwsc 93 18 2683v4 2683v4 CD cord-030686-wv77zwsc 93 19 CPU cpu NN cord-030686-wv77zwsc 93 20 running run VBG cord-030686-wv77zwsc 93 21 Linux Linux NNP cord-030686-wv77zwsc 93 22 x64 x64 CD cord-030686-wv77zwsc 93 23 4.4.0 4.4.0 CD cord-030686-wv77zwsc 93 24 . . . cord-030686-wv77zwsc 94 1 The the DT cord-030686-wv77zwsc 94 2 height height NN cord-030686-wv77zwsc 94 3 of of IN cord-030686-wv77zwsc 94 4 the the DT cord-030686-wv77zwsc 94 5 bars bar NNS cord-030686-wv77zwsc 94 6 in in IN cord-030686-wv77zwsc 94 7 the the DT cord-030686-wv77zwsc 94 8 top top JJ cord-030686-wv77zwsc 94 9 plot plot NN cord-030686-wv77zwsc 94 10 of of IN cord-030686-wv77zwsc 94 11 Fig Fig NNP cord-030686-wv77zwsc 94 12 . . . cord-030686-wv77zwsc 95 1 1 1 CD cord-030686-wv77zwsc 95 2 is be VBZ cord-030686-wv77zwsc 95 3 the the DT cord-030686-wv77zwsc 95 4 average average JJ cord-030686-wv77zwsc 95 5 ci ci NN cord-030686-wv77zwsc 95 6 precision precision NN cord-030686-wv77zwsc 95 7 ( ( -LRB- cord-030686-wv77zwsc 95 8 lower low JJR cord-030686-wv77zwsc 95 9 is be VBZ cord-030686-wv77zwsc 95 10 better well JJR cord-030686-wv77zwsc 95 11 ) ) -RRB- cord-030686-wv77zwsc 95 12 , , , cord-030686-wv77zwsc 95 13 using use VBG cord-030686-wv77zwsc 95 14 Z z NN cord-030686-wv77zwsc 95 15 - - HYPH cord-030686-wv77zwsc 95 16 score score NN cord-030686-wv77zwsc 95 17 m=2 m=2 NN cord-030686-wv77zwsc 95 18 to to TO cord-030686-wv77zwsc 95 19 remove remove VB cord-030686-wv77zwsc 95 20 outliers outlier NNS cord-030686-wv77zwsc 95 21 [ [ -LRB- cord-030686-wv77zwsc 95 22 17 17 CD cord-030686-wv77zwsc 95 23 ] ] -RRB- cord-030686-wv77zwsc 95 24 . . . cord-030686-wv77zwsc 96 1 Whiskers whisker NNS cord-030686-wv77zwsc 96 2 are be VBP cord-030686-wv77zwsc 96 3 standard standard JJ cord-030686-wv77zwsc 96 4 deviation deviation NN cord-030686-wv77zwsc 96 5 , , , cord-030686-wv77zwsc 96 6 and and CC cord-030686-wv77zwsc 96 7 white white JJ cord-030686-wv77zwsc 96 8 numbers number NNS cord-030686-wv77zwsc 96 9 indicate indicate VBP cord-030686-wv77zwsc 96 10 how how WRB cord-030686-wv77zwsc 96 11 many many JJ cord-030686-wv77zwsc 96 12 runs run NNS cord-030686-wv77zwsc 96 13 yielded yield VBD cord-030686-wv77zwsc 96 14 not not RB cord-030686-wv77zwsc 96 15 - - HYPH cord-030686-wv77zwsc 96 16 null null JJ cord-030686-wv77zwsc 96 17 estimates estimate NNS cord-030686-wv77zwsc 96 18 . . . cord-030686-wv77zwsc 97 1 Clearly clearly RB cord-030686-wv77zwsc 97 2 , , , cord-030686-wv77zwsc 97 3 res res FW cord-030686-wv77zwsc 97 4 algorithms algorithm NNS cord-030686-wv77zwsc 97 5 outperform outperform VBP cord-030686-wv77zwsc 97 6 cmc cmc NNP cord-030686-wv77zwsc 97 7 in in IN cord-030686-wv77zwsc 97 8 the the DT cord-030686-wv77zwsc 97 9 hardest hard JJS cord-030686-wv77zwsc 97 10 cases case NNS cord-030686-wv77zwsc 97 11 : : : cord-030686-wv77zwsc 97 12 less less JJR cord-030686-wv77zwsc 97 13 than than IN cord-030686-wv77zwsc 97 14 half half NN cord-030686-wv77zwsc 97 15 of of IN cord-030686-wv77zwsc 97 16 cmc cmc NNP cord-030686-wv77zwsc 97 17 runs run VBZ cord-030686-wv77zwsc 97 18 in in IN cord-030686-wv77zwsc 97 19 DFT-8 DFT-8 NNP cord-030686-wv77zwsc 97 20 could could MD cord-030686-wv77zwsc 97 21 build build VB cord-030686-wv77zwsc 97 22 ( ( -LRB- cord-030686-wv77zwsc 97 23 wide wide RB cord-030686-wv77zwsc 97 24 ) ) -RRB- cord-030686-wv77zwsc 97 25 cis cis NNP cord-030686-wv77zwsc 97 26 . . . cord-030686-wv77zwsc 98 1 Second second RB cord-030686-wv77zwsc 98 2 , , , cord-030686-wv77zwsc 98 3 we -PRON- PRP cord-030686-wv77zwsc 98 4 estimate estimate VBP cord-030686-wv77zwsc 98 5 the the DT cord-030686-wv77zwsc 98 6 steady steady JJ cord-030686-wv77zwsc 98 7 - - HYPH cord-030686-wv77zwsc 98 8 state state NN cord-030686-wv77zwsc 98 9 overflow overflow NN cord-030686-wv77zwsc 98 10 probability probability NN cord-030686-wv77zwsc 98 11 in in IN cord-030686-wv77zwsc 98 12 the the DT cord-030686-wv77zwsc 98 13 last last JJ cord-030686-wv77zwsc 98 14 node node NN cord-030686-wv77zwsc 98 15 of of IN cord-030686-wv77zwsc 98 16 tandem tandem NN cord-030686-wv77zwsc 98 17 queues queue NNS cord-030686-wv77zwsc 98 18 , , , cord-030686-wv77zwsc 98 19 on on IN cord-030686-wv77zwsc 98 20 a a DT cord-030686-wv77zwsc 98 21 Markovian markovian JJ cord-030686-wv77zwsc 98 22 case case NN cord-030686-wv77zwsc 98 23 with with IN cord-030686-wv77zwsc 98 24 2 2 CD cord-030686-wv77zwsc 98 25 buffers buffer NNS cord-030686-wv77zwsc 98 26 [ [ -LRB- cord-030686-wv77zwsc 98 27 29 29 CD cord-030686-wv77zwsc 98 28 ] ] -RRB- cord-030686-wv77zwsc 98 29 , , , cord-030686-wv77zwsc 98 30 3 3 CD cord-030686-wv77zwsc 98 31 buffers buffer NNS cord-030686-wv77zwsc 98 32 [ [ -LRB- cord-030686-wv77zwsc 98 33 28 28 CD cord-030686-wv77zwsc 98 34 ] ] -RRB- cord-030686-wv77zwsc 98 35 , , , cord-030686-wv77zwsc 98 36 and and CC cord-030686-wv77zwsc 98 37 a a DT cord-030686-wv77zwsc 98 38 non non JJ cord-030686-wv77zwsc 98 39 - - JJ cord-030686-wv77zwsc 98 40 Markovian markovian JJ cord-030686-wv77zwsc 98 41 3-buffers 3-buffers CD cord-030686-wv77zwsc 98 42 case case NN cord-030686-wv77zwsc 98 43 [ [ -LRB- cord-030686-wv77zwsc 98 44 30 30 CD cord-030686-wv77zwsc 98 45 ] ] -RRB- cord-030686-wv77zwsc 98 46 . . . cord-030686-wv77zwsc 99 1 We -PRON- PRP cord-030686-wv77zwsc 99 2 study study VBP cord-030686-wv77zwsc 99 3 how how WRB cord-030686-wv77zwsc 99 4 FIG fig NN cord-030686-wv77zwsc 99 5 - - HYPH cord-030686-wv77zwsc 99 6 using use VBG cord-030686-wv77zwsc 99 7 --amono --amono NN cord-030686-wv77zwsc 99 8 , , , cord-030686-wv77zwsc 99 9 seq seq NN cord-030686-wv77zwsc 99 10 , , , cord-030686-wv77zwsc 99 11 and and CC cord-030686-wv77zwsc 99 12 rst rst NNP cord-030686-wv77zwsc 99 13 3,4,5,7,9 3,4,5,7,9 CD cord-030686-wv77zwsc 99 14 -approximates -approximates . cord-030686-wv77zwsc 100 1 each each DT cord-030686-wv77zwsc 100 2 optimal optimal JJ cord-030686-wv77zwsc 100 3 ad ad FW cord-030686-wv77zwsc 100 4 hoc hoc FW cord-030686-wv77zwsc 100 5 function function NN cord-030686-wv77zwsc 100 6 and and CC cord-030686-wv77zwsc 100 7 thresholds threshold NNS cord-030686-wv77zwsc 100 8 of of IN cord-030686-wv77zwsc 100 9 [ [ -LRB- cord-030686-wv77zwsc 100 10 29 29 CD cord-030686-wv77zwsc 100 11 , , , cord-030686-wv77zwsc 100 12 28 28 CD cord-030686-wv77zwsc 100 13 , , , cord-030686-wv77zwsc 100 14 30 30 CD cord-030686-wv77zwsc 100 15 ] ] -RRB- cord-030686-wv77zwsc 100 16 . . . cord-030686-wv77zwsc 101 1 Experiments experiment NNS cord-030686-wv77zwsc 101 2 ran run VBD cord-030686-wv77zwsc 101 3 as as IN cord-030686-wv77zwsc 101 4 before before RB cord-030686-wv77zwsc 101 5 : : : cord-030686-wv77zwsc 101 6 the the DT cord-030686-wv77zwsc 101 7 bottom bottom JJ cord-030686-wv77zwsc 101 8 plot plot NN cord-030686-wv77zwsc 101 9 of of IN cord-030686-wv77zwsc 101 10 Fig Fig NNP cord-030686-wv77zwsc 101 11 . . . cord-030686-wv77zwsc 102 1 1 1 CD cord-030686-wv77zwsc 102 2 shows show VBZ cord-030686-wv77zwsc 102 3 that that IN cord-030686-wv77zwsc 102 4 FIG FIG NNP cord-030686-wv77zwsc 102 5 's 's POS cord-030686-wv77zwsc 102 6 default default NN cord-030686-wv77zwsc 102 7 ( ( -LRB- cord-030686-wv77zwsc 102 8 rst rst NNP cord-030686-wv77zwsc 102 9 3 3 CD cord-030686-wv77zwsc 102 10 with with IN cord-030686-wv77zwsc 102 11 seq seq NN cord-030686-wv77zwsc 102 12 , , , cord-030686-wv77zwsc 102 13 legend legend NN cord-030686-wv77zwsc 102 14 " " `` cord-030686-wv77zwsc 102 15 AUTO AUTO NNP cord-030686-wv77zwsc 102 16 3 3 CD cord-030686-wv77zwsc 102 17 " " '' cord-030686-wv77zwsc 102 18 ) ) -RRB- cord-030686-wv77zwsc 102 19 is be VBZ cord-030686-wv77zwsc 102 20 always always RB cord-030686-wv77zwsc 102 21 closest close JJS cord-030686-wv77zwsc 102 22 to to IN cord-030686-wv77zwsc 102 23 the the DT cord-030686-wv77zwsc 102 24 optimal optimal NN cord-030686-wv77zwsc 102 25 . . . cord-030686-wv77zwsc 103 1 Third third RB cord-030686-wv77zwsc 103 2 , , , cord-030686-wv77zwsc 103 3 we -PRON- PRP cord-030686-wv77zwsc 103 4 compare compare VBP cord-030686-wv77zwsc 103 5 FIG fig NN cord-030686-wv77zwsc 103 6 and and CC cord-030686-wv77zwsc 103 7 modes mode NNS cord-030686-wv77zwsc 103 8 in in IN cord-030686-wv77zwsc 103 9 the the DT cord-030686-wv77zwsc 103 10 original original JJ cord-030686-wv77zwsc 103 11 benchmark benchmark NN cord-030686-wv77zwsc 103 12 of of IN cord-030686-wv77zwsc 103 13 the the DT cord-030686-wv77zwsc 103 14 latter latter JJ cord-030686-wv77zwsc 103 15 [ [ -LRB- cord-030686-wv77zwsc 103 16 5 5 CD cord-030686-wv77zwsc 103 17 ] ] -RRB- cord-030686-wv77zwsc 103 18 . . . cord-030686-wv77zwsc 104 1 We -PRON- PRP cord-030686-wv77zwsc 104 2 do do VBP cord-030686-wv77zwsc 104 3 so so RB cord-030686-wv77zwsc 104 4 for for IN cord-030686-wv77zwsc 104 5 fe fe NNP cord-030686-wv77zwsc 104 6 - - HYPH cord-030686-wv77zwsc 104 7 seq seq JJ cord-030686-wv77zwsc 104 8 , , , cord-030686-wv77zwsc 104 9 rst rst NN cord-030686-wv77zwsc 104 10 - - HYPH cord-030686-wv77zwsc 104 11 seq seq NN cord-030686-wv77zwsc 104 12 , , , cord-030686-wv77zwsc 104 13 rst rst NNP cord-030686-wv77zwsc 104 14 - - HYPH cord-030686-wv77zwsc 104 15 es es NNP cord-030686-wv77zwsc 104 16 , , , cord-030686-wv77zwsc 104 17 using use VBG cord-030686-wv77zwsc 104 18 each each DT cord-030686-wv77zwsc 104 19 tool tool NN cord-030686-wv77zwsc 104 20 's 's POS cord-030686-wv77zwsc 104 21 default default NN cord-030686-wv77zwsc 104 22 options option NNS cord-030686-wv77zwsc 104 23 . . . cord-030686-wv77zwsc 105 1 We -PRON- PRP cord-030686-wv77zwsc 105 2 ran run VBD cord-030686-wv77zwsc 105 3 each each DT cord-030686-wv77zwsc 105 4 benchmark benchmark JJ cord-030686-wv77zwsc 105 5 instance instance NN cord-030686-wv77zwsc 105 6 15 15 CD cord-030686-wv77zwsc 105 7 min min NN cord-030686-wv77zwsc 105 8 , , , cord-030686-wv77zwsc 105 9 thrice thrice RB cord-030686-wv77zwsc 105 10 per per IN cord-030686-wv77zwsc 105 11 tool tool NN cord-030686-wv77zwsc 105 12 , , , cord-030686-wv77zwsc 105 13 in in IN cord-030686-wv77zwsc 105 14 an an DT cord-030686-wv77zwsc 105 15 Intel Intel NNP cord-030686-wv77zwsc 105 16 i7 i7 NN cord-030686-wv77zwsc 105 17 - - HYPH cord-030686-wv77zwsc 105 18 6700 6700 CD cord-030686-wv77zwsc 105 19 CPU cpu NN cord-030686-wv77zwsc 105 20 with with IN cord-030686-wv77zwsc 105 21 Linux Linux NNP cord-030686-wv77zwsc 105 22 x64 x64 CD cord-030686-wv77zwsc 105 23 5.3.1 5.3.1 CD cord-030686-wv77zwsc 105 24 . . . cord-030686-wv77zwsc 106 1 The the DT cord-030686-wv77zwsc 106 2 scatter scatter NN cord-030686-wv77zwsc 106 3 plots plot NNS cord-030686-wv77zwsc 106 4 of of IN cord-030686-wv77zwsc 106 5 Fig Fig NNP cord-030686-wv77zwsc 106 6 . . . cord-030686-wv77zwsc 107 1 2 2 LS cord-030686-wv77zwsc 107 2 show show VBP cord-030686-wv77zwsc 107 3 the the DT cord-030686-wv77zwsc 107 4 median median NN cord-030686-wv77zwsc 107 5 of of IN cord-030686-wv77zwsc 107 6 the the DT cord-030686-wv77zwsc 107 7 ci ci NNP cord-030686-wv77zwsc 107 8 precisions precision NNS cord-030686-wv77zwsc 107 9 . . . cord-030686-wv77zwsc 108 1 Sub sub NN cord-030686-wv77zwsc 108 2 - - HYPH cord-030686-wv77zwsc 108 3 plots plot NNS cord-030686-wv77zwsc 108 4 on on IN cord-030686-wv77zwsc 108 5 the the DT cord-030686-wv77zwsc 108 6 bottom bottom NN cord-030686-wv77zwsc 108 7 - - HYPH cord-030686-wv77zwsc 108 8 right right NN cord-030686-wv77zwsc 108 9 are be VBP cord-030686-wv77zwsc 108 10 a a DT cord-030686-wv77zwsc 108 11 zoom zoom NN cord-030686-wv77zwsc 108 12 - - HYPH cord-030686-wv77zwsc 108 13 ins in NNS cord-030686-wv77zwsc 108 14 in in IN cord-030686-wv77zwsc 108 15 the the DT cord-030686-wv77zwsc 108 16 range range NN cord-030686-wv77zwsc 108 17 [ [ -LRB- cord-030686-wv77zwsc 108 18 10 10 CD cord-030686-wv77zwsc 108 19 −10 −10 NNP cord-030686-wv77zwsc 108 20 , , , cord-030686-wv77zwsc 108 21 10 10 CD cord-030686-wv77zwsc 108 22 −5 −5 NN cord-030686-wv77zwsc 108 23 ] ] -RRB- cord-030686-wv77zwsc 108 24 . . . cord-030686-wv77zwsc 109 1 An an DT cord-030686-wv77zwsc 109 2 ( ( -LRB- cord-030686-wv77zwsc 109 3 x x NN cord-030686-wv77zwsc 109 4 , , , cord-030686-wv77zwsc 109 5 y y NNP cord-030686-wv77zwsc 109 6 ) ) -RRB- cord-030686-wv77zwsc 109 7 point point NN cord-030686-wv77zwsc 109 8 is be VBZ cord-030686-wv77zwsc 109 9 an an DT cord-030686-wv77zwsc 109 10 instance instance NN cord-030686-wv77zwsc 109 11 whose whose WP$ cord-030686-wv77zwsc 109 12 median median JJ cord-030686-wv77zwsc 109 13 ci ci NNP cord-030686-wv77zwsc 109 14 width width NNP cord-030686-wv77zwsc 109 15 was be VBD cord-030686-wv77zwsc 109 16 x x . cord-030686-wv77zwsc 110 1 for for IN cord-030686-wv77zwsc 110 2 Albeit albeit JJ cord-030686-wv77zwsc 110 3 modes mode NNS cord-030686-wv77zwsc 110 4 is be VBZ cord-030686-wv77zwsc 110 5 multi multi JJ cord-030686-wv77zwsc 110 6 - - JJ cord-030686-wv77zwsc 110 7 threaded threaded JJ cord-030686-wv77zwsc 110 8 , , , cord-030686-wv77zwsc 110 9 these these DT cord-030686-wv77zwsc 110 10 experiments experiment NNS cord-030686-wv77zwsc 110 11 ran run VBD cord-030686-wv77zwsc 110 12 on on IN cord-030686-wv77zwsc 110 13 a a DT cord-030686-wv77zwsc 110 14 single single JJ cord-030686-wv77zwsc 110 15 thread thread NN cord-030686-wv77zwsc 110 16 to to TO cord-030686-wv77zwsc 110 17 compare compare VB cord-030686-wv77zwsc 110 18 both both DT cord-030686-wv77zwsc 110 19 tools tool NNS cord-030686-wv77zwsc 110 20 on on IN cord-030686-wv77zwsc 110 21 equal equal JJ cord-030686-wv77zwsc 110 22 conditions condition NNS cord-030686-wv77zwsc 110 23 . . . cord-030686-wv77zwsc 111 1 On on IN cord-030686-wv77zwsc 111 2 the the DT cord-030686-wv77zwsc 111 3 other other JJ cord-030686-wv77zwsc 111 4 hand hand NN cord-030686-wv77zwsc 111 5 , , , cord-030686-wv77zwsc 111 6 FIG FIG NNP cord-030686-wv77zwsc 111 7 also also RB cord-030686-wv77zwsc 111 8 estimates estimate VBZ cord-030686-wv77zwsc 111 9 the the DT cord-030686-wv77zwsc 111 10 probability probability NN cord-030686-wv77zwsc 111 11 of of IN cord-030686-wv77zwsc 111 12 steady steady JJ cord-030686-wv77zwsc 111 13 - - HYPH cord-030686-wv77zwsc 111 14 state state NN cord-030686-wv77zwsc 111 15 properties property NNS cord-030686-wv77zwsc 111 16 , , , cord-030686-wv77zwsc 111 17 for for IN cord-030686-wv77zwsc 111 18 which which WDT cord-030686-wv77zwsc 111 19 there there EX cord-030686-wv77zwsc 111 20 is be VBZ cord-030686-wv77zwsc 111 21 no no DT cord-030686-wv77zwsc 111 22 support support NN cord-030686-wv77zwsc 111 23 in in IN cord-030686-wv77zwsc 111 24 modes mode NNS cord-030686-wv77zwsc 111 25 . . . cord-030686-wv77zwsc 111 26 _SP cord-030686-wv77zwsc 112 1 Coupling coupling NN cord-030686-wv77zwsc 112 2 and and CC cord-030686-wv77zwsc 112 3 importance importance NN cord-030686-wv77zwsc 112 4 sampling sampling NN cord-030686-wv77zwsc 112 5 for for IN cord-030686-wv77zwsc 112 6 statistical statistical JJ cord-030686-wv77zwsc 112 7 model model NN cord-030686-wv77zwsc 112 8 checking check VBG cord-030686-wv77zwsc 112 9 Automation Automation NNP cord-030686-wv77zwsc 112 10 of of IN cord-030686-wv77zwsc 112 11 Importance Importance NNP cord-030686-wv77zwsc 113 1 Splitting splitting NN cord-030686-wv77zwsc 113 2 Techniques technique NNS cord-030686-wv77zwsc 113 3 for for IN cord-030686-wv77zwsc 113 4 Rare Rare NNP cord-030686-wv77zwsc 113 5 Event Event NNP cord-030686-wv77zwsc 113 6 Simulation Simulation NNP cord-030686-wv77zwsc 113 7 FIG fig NN cord-030686-wv77zwsc 113 8 : : : cord-030686-wv77zwsc 113 9 the the DT cord-030686-wv77zwsc 113 10 Finite Finite NNP cord-030686-wv77zwsc 113 11 Improbability Improbability NNP cord-030686-wv77zwsc 113 12 Generator Generator NNP cord-030686-wv77zwsc 113 13 . . . cord-030686-wv77zwsc 114 1 4TU.Centre 4tu.centre CD cord-030686-wv77zwsc 114 2 for for IN cord-030686-wv77zwsc 114 3 Research Research NNP cord-030686-wv77zwsc 114 4 Data Data NNP cord-030686-wv77zwsc 114 5 Better Better NNP cord-030686-wv77zwsc 114 6 automated automated JJ cord-030686-wv77zwsc 114 7 importance importance NN cord-030686-wv77zwsc 114 8 splitting splitting NN cord-030686-wv77zwsc 114 9 for for IN cord-030686-wv77zwsc 114 10 transient transient JJ cord-030686-wv77zwsc 114 11 rare rare JJ cord-030686-wv77zwsc 114 12 events event NNS cord-030686-wv77zwsc 115 1 A a DT cord-030686-wv77zwsc 115 2 statistical statistical JJ cord-030686-wv77zwsc 115 3 model model NN cord-030686-wv77zwsc 115 4 checker checker NN cord-030686-wv77zwsc 115 5 for for IN cord-030686-wv77zwsc 115 6 nondeterminism nondeterminism NN cord-030686-wv77zwsc 115 7 and and CC cord-030686-wv77zwsc 115 8 rare rare JJ cord-030686-wv77zwsc 115 9 events event NNS cord-030686-wv77zwsc 116 1 Compositional compositional JJ cord-030686-wv77zwsc 116 2 construction construction NN cord-030686-wv77zwsc 116 3 of of IN cord-030686-wv77zwsc 116 4 importance importance NN cord-030686-wv77zwsc 116 5 functions function NNS cord-030686-wv77zwsc 116 6 in in IN cord-030686-wv77zwsc 116 7 fully fully RB cord-030686-wv77zwsc 116 8 automated automate VBN cord-030686-wv77zwsc 116 9 importance importance NN cord-030686-wv77zwsc 116 10 splitting split VBG cord-030686-wv77zwsc 116 11 JANI JANI NNP cord-030686-wv77zwsc 116 12 : : : cord-030686-wv77zwsc 117 1 Quantitative quantitative JJ cord-030686-wv77zwsc 117 2 model model NN cord-030686-wv77zwsc 117 3 and and CC cord-030686-wv77zwsc 117 4 tool tool NN cord-030686-wv77zwsc 117 5 interaction interaction NN cord-030686-wv77zwsc 117 6 Sequential Sequential NNP cord-030686-wv77zwsc 117 7 Monte Monte NNP cord-030686-wv77zwsc 117 8 Carlo Carlo NNP cord-030686-wv77zwsc 117 9 for for IN cord-030686-wv77zwsc 117 10 rare rare JJ cord-030686-wv77zwsc 117 11 event event NN cord-030686-wv77zwsc 117 12 estimation estimation NN cord-030686-wv77zwsc 118 1 Some some DT cord-030686-wv77zwsc 118 2 tactical tactical JJ cord-030686-wv77zwsc 118 3 problems problem NNS cord-030686-wv77zwsc 118 4 in in IN cord-030686-wv77zwsc 118 5 digital digital JJ cord-030686-wv77zwsc 118 6 simulation simulation NN cord-030686-wv77zwsc 118 7 Smart smart JJ cord-030686-wv77zwsc 118 8 sampling sampling NN cord-030686-wv77zwsc 118 9 for for IN cord-030686-wv77zwsc 118 10 lightweight lightweight JJ cord-030686-wv77zwsc 118 11 verification verification NN cord-030686-wv77zwsc 118 12 of of IN cord-030686-wv77zwsc 118 13 Markov Markov NNP cord-030686-wv77zwsc 118 14 decision decision NN cord-030686-wv77zwsc 118 15 processes process NNS cord-030686-wv77zwsc 118 16 Input input NN cord-030686-wv77zwsc 118 17 / / SYM cord-030686-wv77zwsc 118 18 Output output NN cord-030686-wv77zwsc 118 19 Stochastic stochastic JJ cord-030686-wv77zwsc 118 20 Automata Automata NNP cord-030686-wv77zwsc 118 21 with with IN cord-030686-wv77zwsc 118 22 Urgency urgency NN cord-030686-wv77zwsc 118 23 : : : cord-030686-wv77zwsc 118 24 Confluence confluence NN cord-030686-wv77zwsc 118 25 and and CC cord-030686-wv77zwsc 118 26 weak weak JJ cord-030686-wv77zwsc 118 27 determinism determinism NN cord-030686-wv77zwsc 119 1 Splitting split VBG cord-030686-wv77zwsc 119 2 for for IN cord-030686-wv77zwsc 119 3 rare rare JJ cord-030686-wv77zwsc 119 4 event event NN cord-030686-wv77zwsc 119 5 simulation simulation NN cord-030686-wv77zwsc 119 6 : : : cord-030686-wv77zwsc 119 7 A a DT cord-030686-wv77zwsc 119 8 large large JJ cord-030686-wv77zwsc 119 9 deviation deviation NN cord-030686-wv77zwsc 119 10 approach approach NN cord-030686-wv77zwsc 119 11 to to TO cord-030686-wv77zwsc 119 12 design design VB cord-030686-wv77zwsc 119 13 and and CC cord-030686-wv77zwsc 119 14 analysis analysis NN cord-030686-wv77zwsc 120 1 A a DT cord-030686-wv77zwsc 120 2 Storm storm NN cord-030686-wv77zwsc 120 3 is be VBZ cord-030686-wv77zwsc 120 4 coming come VBG cord-030686-wv77zwsc 120 5 : : : cord-030686-wv77zwsc 120 6 A a DT cord-030686-wv77zwsc 120 7 modern modern JJ cord-030686-wv77zwsc 120 8 probabilistic probabilistic JJ cord-030686-wv77zwsc 120 9 model model NN cord-030686-wv77zwsc 120 10 checker checker NN cord-030686-wv77zwsc 120 11 On on IN cord-030686-wv77zwsc 120 12 the the DT cord-030686-wv77zwsc 120 13 importance importance NN cord-030686-wv77zwsc 120 14 function function NN cord-030686-wv77zwsc 120 15 in in IN cord-030686-wv77zwsc 120 16 splitting splitting NN cord-030686-wv77zwsc 120 17 simulation simulation NN cord-030686-wv77zwsc 121 1 The the DT cord-030686-wv77zwsc 121 2 splitting splitting NN cord-030686-wv77zwsc 121 3 method method NN cord-030686-wv77zwsc 121 4 in in IN cord-030686-wv77zwsc 121 5 rare rare JJ cord-030686-wv77zwsc 121 6 event event NN cord-030686-wv77zwsc 121 7 simulation simulation NN cord-030686-wv77zwsc 122 1 The the DT cord-030686-wv77zwsc 122 2 Modest modest JJ cord-030686-wv77zwsc 122 3 Toolset toolset NN cord-030686-wv77zwsc 122 4 : : : cord-030686-wv77zwsc 123 1 An an DT cord-030686-wv77zwsc 123 2 integrated integrated JJ cord-030686-wv77zwsc 123 3 environment environment NN cord-030686-wv77zwsc 123 4 for for IN cord-030686-wv77zwsc 123 5 quantitative quantitative JJ cord-030686-wv77zwsc 123 6 modelling modelling NN cord-030686-wv77zwsc 123 7 and and CC cord-030686-wv77zwsc 123 8 verification verification NN cord-030686-wv77zwsc 123 9 How how WRB cord-030686-wv77zwsc 123 10 to to TO cord-030686-wv77zwsc 123 11 Detect detect VB cord-030686-wv77zwsc 123 12 and and CC cord-030686-wv77zwsc 123 13 Handle handle VB cord-030686-wv77zwsc 123 14 Outliers outlier NNS cord-030686-wv77zwsc 123 15 . . . cord-030686-wv77zwsc 124 1 ASQC ASQC NNP cord-030686-wv77zwsc 124 2 basic basic JJ cord-030686-wv77zwsc 124 3 references reference NNS cord-030686-wv77zwsc 124 4 in in IN cord-030686-wv77zwsc 124 5 quality quality NN cord-030686-wv77zwsc 124 6 control control NN cord-030686-wv77zwsc 124 7 Command command NN cord-030686-wv77zwsc 124 8 - - HYPH cord-030686-wv77zwsc 124 9 based base VBN cord-030686-wv77zwsc 124 10 importance importance NN cord-030686-wv77zwsc 124 11 sampling sampling NN cord-030686-wv77zwsc 124 12 for for IN cord-030686-wv77zwsc 124 13 statistical statistical JJ cord-030686-wv77zwsc 124 14 model model NN cord-030686-wv77zwsc 124 15 checking check VBG cord-030686-wv77zwsc 124 16 PRISM PRISM NNP cord-030686-wv77zwsc 124 17 4.0 4.0 CD cord-030686-wv77zwsc 124 18 : : : cord-030686-wv77zwsc 124 19 Verification verification NN cord-030686-wv77zwsc 124 20 of of IN cord-030686-wv77zwsc 124 21 probabilistic probabilistic JJ cord-030686-wv77zwsc 124 22 real real JJ cord-030686-wv77zwsc 124 23 - - HYPH cord-030686-wv77zwsc 124 24 time time NN cord-030686-wv77zwsc 124 25 systems system NNS cord-030686-wv77zwsc 124 26 Splitting splitting NN cord-030686-wv77zwsc 124 27 techniques technique NNS cord-030686-wv77zwsc 124 28 Plasma plasma NN cord-030686-wv77zwsc 124 29 Lab Lab NNP cord-030686-wv77zwsc 124 30 : : : cord-030686-wv77zwsc 125 1 A a DT cord-030686-wv77zwsc 125 2 modular modular JJ cord-030686-wv77zwsc 125 3 statistical statistical JJ cord-030686-wv77zwsc 125 4 model model NN cord-030686-wv77zwsc 125 5 checking check VBG cord-030686-wv77zwsc 125 6 platform platform NN cord-030686-wv77zwsc 125 7 SBIP SBIP NNP cord-030686-wv77zwsc 125 8 2.0 2.0 CD cord-030686-wv77zwsc 125 9 : : : cord-030686-wv77zwsc 126 1 Statistical statistical JJ cord-030686-wv77zwsc 126 2 model model NN cord-030686-wv77zwsc 126 3 checking check VBG cord-030686-wv77zwsc 126 4 stochastic stochastic JJ cord-030686-wv77zwsc 126 5 real real JJ cord-030686-wv77zwsc 126 6 - - HYPH cord-030686-wv77zwsc 126 7 time time NN cord-030686-wv77zwsc 126 8 systems system NNS cord-030686-wv77zwsc 126 9 Stochastic stochastic JJ cord-030686-wv77zwsc 126 10 Automata Automata NNP cord-030686-wv77zwsc 126 11 for for IN cord-030686-wv77zwsc 126 12 Fault fault NN cord-030686-wv77zwsc 126 13 Tolerant tolerant JJ cord-030686-wv77zwsc 126 14 Concurrent Concurrent NNP cord-030686-wv77zwsc 126 15 Systems Systems NNPS cord-030686-wv77zwsc 126 16 Introduction introduction NN cord-030686-wv77zwsc 126 17 to to IN cord-030686-wv77zwsc 126 18 rare rare JJ cord-030686-wv77zwsc 126 19 event event NN cord-030686-wv77zwsc 126 20 simulation simulation NN cord-030686-wv77zwsc 126 21 Rare Rare NNP cord-030686-wv77zwsc 126 22 Event Event NNP cord-030686-wv77zwsc 126 23 Simulation Simulation NNP cord-030686-wv77zwsc 126 24 Using use VBG cord-030686-wv77zwsc 126 25 Monte Monte NNP cord-030686-wv77zwsc 126 26 Carlo Carlo NNP cord-030686-wv77zwsc 126 27 Methods Methods NNP cord-030686-wv77zwsc 126 28 Rare Rare NNP cord-030686-wv77zwsc 126 29 event event NN cord-030686-wv77zwsc 126 30 simulation simulation NN cord-030686-wv77zwsc 126 31 for for IN cord-030686-wv77zwsc 126 32 dynamic dynamic JJ cord-030686-wv77zwsc 126 33 fault fault NN cord-030686-wv77zwsc 126 34 trees tree NNS cord-030686-wv77zwsc 126 35 Advanced advance VBD cord-030686-wv77zwsc 126 36 RESTART RESTART NNP cord-030686-wv77zwsc 126 37 method method NN cord-030686-wv77zwsc 126 38 for for IN cord-030686-wv77zwsc 126 39 the the DT cord-030686-wv77zwsc 126 40 estimation estimation NN cord-030686-wv77zwsc 126 41 of of IN cord-030686-wv77zwsc 126 42 the the DT cord-030686-wv77zwsc 126 43 probability probability NN cord-030686-wv77zwsc 126 44 of of IN cord-030686-wv77zwsc 126 45 failure failure NN cord-030686-wv77zwsc 126 46 of of IN cord-030686-wv77zwsc 126 47 highly highly RB cord-030686-wv77zwsc 126 48 reliable reliable JJ cord-030686-wv77zwsc 126 49 hybrid hybrid JJ cord-030686-wv77zwsc 126 50 dynamic dynamic JJ cord-030686-wv77zwsc 126 51 systems system NNS cord-030686-wv77zwsc 126 52 Importance importance NN cord-030686-wv77zwsc 126 53 functions function NNS cord-030686-wv77zwsc 126 54 for for IN cord-030686-wv77zwsc 126 55 restart restart NN cord-030686-wv77zwsc 126 56 simulation simulation NN cord-030686-wv77zwsc 126 57 of of IN cord-030686-wv77zwsc 126 58 general general JJ cord-030686-wv77zwsc 126 59 Jackson Jackson NNP cord-030686-wv77zwsc 126 60 networks network NNS cord-030686-wv77zwsc 126 61 RESTART restart VBP cord-030686-wv77zwsc 126 62 vs vs IN cord-030686-wv77zwsc 126 63 Splitting splitting NN cord-030686-wv77zwsc 126 64 : : : cord-030686-wv77zwsc 126 65 A a DT cord-030686-wv77zwsc 126 66 comparative comparative JJ cord-030686-wv77zwsc 126 67 study study NN cord-030686-wv77zwsc 126 68 Rare rare JJ cord-030686-wv77zwsc 126 69 event event NN cord-030686-wv77zwsc 126 70 simulation simulation NN cord-030686-wv77zwsc 126 71 of of IN cord-030686-wv77zwsc 126 72 non non JJ cord-030686-wv77zwsc 126 73 - - JJ cord-030686-wv77zwsc 126 74 Markovian markovian JJ cord-030686-wv77zwsc 126 75 queueing queueing NN cord-030686-wv77zwsc 126 76 networks network NNS cord-030686-wv77zwsc 126 77 using use VBG cord-030686-wv77zwsc 126 78 RESTART restart JJ cord-030686-wv77zwsc 126 79 method method NN cord-030686-wv77zwsc 126 80 RESTART RESTART NNP cord-030686-wv77zwsc 126 81 : : : cord-030686-wv77zwsc 126 82 a a DT cord-030686-wv77zwsc 126 83 method method NN cord-030686-wv77zwsc 126 84 for for IN cord-030686-wv77zwsc 126 85 accelerating accelerate VBG cord-030686-wv77zwsc 126 86 rare rare JJ cord-030686-wv77zwsc 126 87 event event NN cord-030686-wv77zwsc 126 88 simulations simulation NNS cord-030686-wv77zwsc 127 1 Probable probable JJ cord-030686-wv77zwsc 127 2 inference inference NN cord-030686-wv77zwsc 127 3 , , , cord-030686-wv77zwsc 127 4 the the DT cord-030686-wv77zwsc 127 5 law law NN cord-030686-wv77zwsc 127 6 of of IN cord-030686-wv77zwsc 127 7 succession succession NN cord-030686-wv77zwsc 127 8 , , , cord-030686-wv77zwsc 127 9 and and CC cord-030686-wv77zwsc 127 10 statistical statistical JJ cord-030686-wv77zwsc 127 11 inference inference NN cord-030686-wv77zwsc 128 1 Probabilistic probabilistic JJ cord-030686-wv77zwsc 128 2 verification verification NN cord-030686-wv77zwsc 128 3 of of IN cord-030686-wv77zwsc 128 4 discrete discrete JJ cord-030686-wv77zwsc 128 5 event event NN cord-030686-wv77zwsc 128 6 systems system NNS cord-030686-wv77zwsc 128 7 using use VBG cord-030686-wv77zwsc 128 8 acceptance acceptance NN cord-030686-wv77zwsc 128 9 sampling sampling NN cord-030686-wv77zwsc 128 10 Acknowledgments acknowledgment NNS cord-030686-wv77zwsc 128 11 . . . cord-030686-wv77zwsc 129 1 The the DT cord-030686-wv77zwsc 129 2 author author NN cord-030686-wv77zwsc 129 3 thanks thank NNS cord-030686-wv77zwsc 129 4 Arnd Arnd NNP cord-030686-wv77zwsc 129 5 Hartmanns Hartmanns NNP cord-030686-wv77zwsc 129 6 for for IN cord-030686-wv77zwsc 129 7 excellent excellent JJ cord-030686-wv77zwsc 129 8 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