id sid tid token lemma pos crl-14213 1 1 college college NOUN crl-14213 1 2 and and CCONJ crl-14213 1 3 research research NOUN crl-14213 1 4 libraries librarie VERB crl-14213 1 5 research research NOUN crl-14213 1 6 n n PROPN crl-14213 1 7 ote_s ote_s X crl-14213 1 8 economic economic ADJ crl-14213 1 9 joint joint ADJ crl-14213 1 10 ordering ordering NOUN crl-14213 1 11 of of ADP crl-14213 1 12 consumable consumable ADJ crl-14213 1 13 items item NOUN crl-14213 1 14 for for ADP crl-14213 1 15 a a DET crl-14213 1 16 university university NOUN crl-14213 1 17 library library NOUN crl-14213 1 18 s. s. PROPN crl-14213 1 19 k. k. PROPN crl-14213 1 20 goyal goyal PROPN crl-14213 1 21 in in ADP crl-14213 1 22 this this DET crl-14213 1 23 paper paper NOUN crl-14213 1 24 the the DET crl-14213 1 25 problem problem NOUN crl-14213 1 26 of of ADP crl-14213 1 27 joint joint ADJ crl-14213 1 28 ordering ordering NOUN crl-14213 1 29 of of ADP crl-14213 1 30 consumable consumable ADJ crl-14213 1 31 items item NOUN crl-14213 1 32 for for ADP crl-14213 1 33 a a DET crl-14213 1 34 university university NOUN crl-14213 1 35 library library NOUN crl-14213 1 36 is be AUX crl-14213 1 37 formulated formulate VERB crl-14213 1 38 . . PUNCT crl-14213 2 1 a a DET crl-14213 2 2 simple simple ADJ crl-14213 2 3 heuristic heuristic ADJ crl-14213 2 4 method method NOUN crl-14213 2 5 is be AUX crl-14213 2 6 proposed propose VERB crl-14213 2 7 for for ADP crl-14213 2 8 determining determine VERB crl-14213 2 9 the the DET crl-14213 2 10 most most ADV crl-14213 2 11 economical economical ADJ crl-14213 2 12 ordering ordering NOUN crl-14213 2 13 policy policy NOUN crl-14213 2 14 . . PUNCT crl-14213 3 1 an an DET crl-14213 3 2 example example NOUN crl-14213 3 3 involving involve VERB crl-14213 3 4 two two NUM crl-14213 3 5 items item NOUN crl-14213 3 6 is be AUX crl-14213 3 7 solved solve VERB crl-14213 3 8 to to PART crl-14213 3 9 illustrate illustrate VERB crl-14213 3 10 the the DET crl-14213 3 11 method method NOUN crl-14213 3 12 . . PUNCT crl-14213 4 1 a a DET crl-14213 4 2 modern modern ADJ crl-14213 4 3 library library NOUN crl-14213 4 4 consumes consume VERB crl-14213 4 5 a a DET crl-14213 4 6 large large ADJ crl-14213 4 7 number number NOUN crl-14213 4 8 of of ADP crl-14213 4 9 items item NOUN crl-14213 4 10 in in ADP crl-14213 4 11 its its PRON crl-14213 4 12 day day NOUN crl-14213 4 13 - - PUNCT crl-14213 4 14 to to ADP crl-14213 4 15 - - PUNCT crl-14213 4 16 day day NOUN crl-14213 4 17 operations operation NOUN crl-14213 4 18 , , PUNCT crl-14213 4 19 i.e. i.e. X crl-14213 4 20 , , PUNCT crl-14213 4 21 loan loan NOUN crl-14213 4 22 slips slip NOUN crl-14213 4 23 , , PUNCT crl-14213 4 24 interlibrary interlibrary ADJ crl-14213 4 25 loan loan NOUN crl-14213 4 26 forms form NOUN crl-14213 4 27 , , PUNCT crl-14213 4 28 photocopying photocopy VERB crl-14213 4 29 paper paper NOUN crl-14213 4 30 of of ADP crl-14213 4 31 d d PROPN crl-14213 4 32 ~ ~ NUM crl-14213 4 33 ferent ferent ADJ crl-14213 4 34 kinds kind NOUN crl-14213 4 35 and and CCONJ crl-14213 4 36 sizes size NOUN crl-14213 4 37 , , PUNCT crl-14213 4 38 standard standard ADJ crl-14213 4 39 stationery stationery NOUN crl-14213 4 40 items item NOUN crl-14213 4 41 order order NOUN crl-14213 4 42 forms form NOUN crl-14213 4 43 , , PUNCT crl-14213 4 44 etc etc X crl-14213 4 45 . . X crl-14213 4 46 very very ADV crl-14213 4 47 often often ADV crl-14213 4 48 anumber anumber NOUN crl-14213 4 49 of of ADP crl-14213 4 50 items item NOUN crl-14213 4 51 are be AUX crl-14213 4 52 procured procure VERB crl-14213 4 53 from from ADP crl-14213 4 54 a a DET crl-14213 4 55 single single ADJ crl-14213 4 56 supplier supplier NOUN crl-14213 4 57 . . PUNCT crl-14213 5 1 for for ADP crl-14213 5 2 example example NOUN crl-14213 5 3 , , PUNCT crl-14213 5 4 our our PRON crl-14213 5 5 l?cal l?cal ADJ crl-14213 5 6 public public NOUN crl-14213 5 7 ~i ~i PUNCT crl-14213 5 8 brary brary ADJ crl-14213 5 9 purchases purchase NOUN crl-14213 5 10 photocopymg photocopymg VERB crl-14213 5 11 paper paper NOUN crl-14213 5 12 m m VERB crl-14213 5 13 two two NUM crl-14213 5 14 sizes size NOUN crl-14213 5 15 from from ADP crl-14213 5 16 one one NUM crl-14213 5 17 supplier supplier NOUN crl-14213 5 18 . . PUNCT crl-14213 6 1 the the DET crl-14213 6 2 demand demand NOUN crl-14213 6 3 for for ADP crl-14213 6 4 the the DET crl-14213 6 5 photocopying photocopy VERB crl-14213 6 6 paper paper NOUN crl-14213 6 7 in in ADP crl-14213 6 8 the the DET crl-14213 6 9 two two NUM crl-14213 6 10 sizes size NOUN crl-14213 6 11 is be AUX crl-14213 6 12 fairly fairly ADV crl-14213 6 13 constant constant ADJ crl-14213 6 14 over over ADP crl-14213 6 15 time time NOUN crl-14213 6 16 . . PUNCT crl-14213 7 1 th.e th.e PROPN crl-14213 7 2 problem problem NOUN crl-14213 7 3 facing face VERB crl-14213 7 4 the the DET crl-14213 7 5 library library NOUN crl-14213 7 6 management management NOUN crl-14213 7 7 ts ts ADP crl-14213 7 8 how how SCONJ crl-14213 7 9 to to PART crl-14213 7 10 procure procure VERB crl-14213 7 11 photocopying photocopy VERB crl-14213 7 12 paper paper NOUN crl-14213 7 13 in in ADP crl-14213 7 14 the the DET crl-14213 7 15 most most ADV crl-14213 7 16 economical economical ADJ crl-14213 7 17 manner manner NOUN crl-14213 7 18 . . PUNCT crl-14213 8 1 · · PUNCT crl-14213 8 2 items item NOUN crl-14213 8 3 that that PRON crl-14213 8 4 are be AUX crl-14213 8 5 purchased purchase VERB crl-14213 8 6 exclusively exclusively ADV crl-14213 8 7 from from ADP crl-14213 8 8 a a DET crl-14213 8 9 single single ADJ crl-14213 8 10 supplier supplier NOUN crl-14213 8 11 can can AUX crl-14213 8 12 be be AUX crl-14213 8 13 ordered order VERB crl-14213 8 14 in in ADP crl-14213 8 15 two two NUM crl-14213 8 16 simple simple ADJ crl-14213 8 17 ways way NOUN crl-14213 8 18 : : PUNCT crl-14213 8 19 ( ( PUNCT crl-14213 8 20 1 1 X crl-14213 8 21 ) ) PUNCT crl-14213 8 22 each each DET crl-14213 8 23 item item NOUN crl-14213 8 24 is be AUX crl-14213 8 25 ordered order VERB crl-14213 8 26 on on ADP crl-14213 8 27 its its PRON crl-14213 8 28 own own ADJ crl-14213 8 29 , , PUNCT crl-14213 8 30 and and CCONJ crl-14213 8 31 ( ( PUNCT crl-14213 8 32 2 2 X crl-14213 8 33 ) ) PUNCT crl-14213 8 34 items item NOUN crl-14213 8 35 are be AUX crl-14213 8 36 ordered order VERB crl-14213 8 37 jointly jointly ADV crl-14213 8 38 . . PUNCT crl-14213 9 1 whenever whenever SCONJ crl-14213 9 2 a a DET crl-14213 9 3 purchase purchase NOUN crl-14213 9 4 order order NOUN crl-14213 9 5 is be AUX crl-14213 9 6 initiated initiate VERB crl-14213 9 7 , , PUNCT crl-14213 9 8 a a DET crl-14213 9 9 fixed fix VERB crl-14213 9 10 cost cost NOUN crl-14213 9 11 of of ADP crl-14213 9 12 placing place VERB crl-14213 9 13 an an DET crl-14213 9 14 order order NOUN crl-14213 9 15 is be AUX crl-14213 9 16 incurred incur VERB crl-14213 9 17 . . PUNCT crl-14213 10 1 this this DET crl-14213 10 2 fixed fix VERB crl-14213 10 3 cost cost NOUN crl-14213 10 4 primarily primarily ADV crl-14213 10 5 consists consist VERB crl-14213 10 6 of of ADP crl-14213 10 7 administrative administrative ADJ crl-14213 10 8 costs cost NOUN crl-14213 10 9 of of ADP crl-14213 10 10 preparing prepare VERB crl-14213 10 11 a a DET crl-14213 10 12 purchase purchase NOUN crl-14213 10 13 order order NOUN crl-14213 10 14 . . PUNCT crl-14213 11 1 some some DET crl-14213 11 2 additional additional ADJ crl-14213 11 3 cost cost NOUN crl-14213 11 4 may may AUX crl-14213 11 5 be be AUX crl-14213 11 6 incurred incur VERB crl-14213 11 7 depending depend VERB crl-14213 11 8 on on ADP crl-14213 11 9 the the DET crl-14213 11 10 particular particular ADJ crl-14213 11 11 item(s item(s NOUN crl-14213 11 12 ) ) PUNCT crl-14213 11 13 . . PUNCT crl-14213 12 1 therefore therefore ADV crl-14213 12 2 , , PUNCT crl-14213 12 3 in in ADP crl-14213 12 4 the the DET crl-14213 12 5 first first ADJ crl-14213 12 6 instance instance NOUN crl-14213 12 7 , , PUNCT crl-14213 12 8 where where SCONJ crl-14213 12 9 each each DET crl-14213 12 10 item item NOUN crl-14213 12 11 is be AUX crl-14213 12 12 ordered order VERB crl-14213 12 13 on on ADP crl-14213 12 14 its its PRON crl-14213 12 15 own own ADJ crl-14213 12 16 , , PUNCT crl-14213 12 17 every every DET crl-14213 12 18 time time NOUN crl-14213 12 19 an an DET crl-14213 12 20 item item NOUN crl-14213 12 21 is be AUX crl-14213 12 22 ordered order VERB crl-14213 12 23 the the DET crl-14213 12 24 fixed fix VERB crl-14213 12 25 cost cost NOUN crl-14213 12 26 of of ADP crl-14213 12 27 placing place VERB crl-14213 12 28 the the DET crl-14213 12 29 purchase purchase NOUN crl-14213 12 30 order order NOUN crl-14213 12 31 and and CCONJ crl-14213 12 32 the the DET crl-14213 12 33 variable variable ADJ crl-14213 12 34 cost cost NOUN crl-14213 12 35 of of ADP crl-14213 12 36 ordering order VERB crl-14213 12 37 that that DET crl-14213 12 38 particular particular ADJ crl-14213 12 39 item item NOUN crl-14213 12 40 must must AUX crl-14213 12 41 be be AUX crl-14213 12 42 incurred incur VERB crl-14213 12 43 . . PUNCT crl-14213 13 1 on on ADP crl-14213 13 2 the the DET crl-14213 13 3 other other ADJ crl-14213 13 4 hand hand NOUN crl-14213 13 5 , , PUNCT crl-14213 13 6 in in ADP crl-14213 13 7 the the DET crl-14213 13 8 second second ADJ crl-14213 13 9 instance instance NOUN crl-14213 13 10 , , PUNCT crl-14213 13 11 where where SCONJ crl-14213 13 12 items item NOUN crl-14213 13 13 are be AUX crl-14213 13 14 ordered order VERB crl-14213 13 15 jointly jointly ADV crl-14213 13 16 , , PUNCT crl-14213 13 17 the the DET crl-14213 13 18 cost cost NOUN crl-14213 13 19 of of ADP crl-14213 13 20 placing place VERB crl-14213 13 21 the the DET crl-14213 13 22 order order NOUN crl-14213 13 23 consists consist VERB crl-14213 13 24 of of ADP crl-14213 13 25 the the DET crl-14213 13 26 fixed fix VERB crl-14213 13 27 cost cost NOUN crl-14213 13 28 of of ADP crl-14213 13 29 placing place VERB crl-14213 13 30 the the DET crl-14213 13 31 order order NOUN crl-14213 13 32 plus plus CCONJ crl-14213 13 33 the the DET crl-14213 13 34 total total NOUN crl-14213 13 35 of of ADP crl-14213 13 36 individual individual ADJ crl-14213 13 37 ordering ordering NOUN crl-14213 13 38 cost cost NOUN crl-14213 13 39 of of ADP crl-14213 13 40 the the DET crl-14213 13 41 items item NOUN crl-14213 13 42 included include VERB crl-14213 13 43 in in ADP crl-14213 13 44 the the DET crl-14213 13 45 purchase purchase NOUN crl-14213 13 46 order order NOUN crl-14213 13 47 . . PUNCT crl-14213 14 1 therefore therefore ADV crl-14213 14 2 , , PUNCT crl-14213 14 3 as as ADP crl-14213 14 4 a a DET crl-14213 14 5 result result NOUN crl-14213 14 6 of of ADP crl-14213 14 7 ordering order VERB crl-14213 14 8 items item NOUN crl-14213 14 9 jointly jointly ADV crl-14213 14 10 , , PUNCT crl-14213 14 11 considerable considerable ADJ crl-14213 14 12 saving saving NOUN crl-14213 14 13 in in ADP crl-14213 14 14 the the DET crl-14213 14 15 total total ADJ crl-14213 14 16 ordering ordering NOUN crl-14213 14 17 cost cost NOUN crl-14213 14 18 can can AUX crl-14213 14 19 be be AUX crl-14213 14 20 achieved achieve VERB crl-14213 14 21 . . PUNCT crl-14213 15 1 in in ADP crl-14213 15 2 the the DET crl-14213 15 3 operations operation NOUN crl-14213 15 4 research research NOUN crl-14213 15 5 / / SYM crl-14213 15 6 management management NOUN crl-14213 15 7 scienc.e scienc.e PROPN crl-14213 15 8 literature literature PROPN crl-14213 15 9 , , PUNCT crl-14213 15 10 a a DET crl-14213 15 11 considerable considerable ADJ crl-14213 15 12 number number NOUN crl-14213 15 13 of of ADP crl-14213 15 14 publications publication NOUN crl-14213 15 15 exist exist VERB crl-14213 15 16 that that DET crl-14213 15 17 deal deal NOUN crl-14213 15 18 with with ADP crl-14213 15 19 the the DET crl-14213 15 20 problem problem NOUN crl-14213 15 21 of of ADP crl-14213 15 22 determining determine VERB crl-14213 15 23 an an DET crl-14213 15 24 economical economical ADJ crl-14213 15 25 ordering ordering NOUN crl-14213 15 26 policy policy NOUN crl-14213 15 27 ( ( PUNCT crl-14213 15 28 see see VERB crl-14213 15 29 shu shu NOUN crl-14213 15 30 , , PUNCT crl-14213 15 31 1 1 NUM crl-14213 15 32 goyal/'3 goyal/'3 NOUN crl-14213 15 33 silver,4 silver,4 NOUN crl-14213 15 34 and and CCONJ crl-14213 15 35 kaspi kaspi NOUN crl-14213 15 36 and and CCONJ crl-14213 15 37 rosenblate rosenblate VERB crl-14213 15 38 . . PUNCT crl-14213 15 39 ) ) PUNCT crl-14213 16 1 for for ADP crl-14213 16 2 the the DET crl-14213 16 3 consumable consumable ADJ crl-14213 16 4 items item NOUN crl-14213 16 5 having have VERB crl-14213 16 6 a a DET crl-14213 16 7 fairly fairly ADV crl-14213 16 8 constant constant ADJ crl-14213 16 9 rate rate NOUN crl-14213 16 10 of of ADP crl-14213 16 11 demand demand NOUN crl-14213 16 12 the the DET crl-14213 16 13 economic economic ADJ crl-14213 16 14 order order NOUN crl-14213 16 15 quantity quantity NOUN crl-14213 16 16 model model NOUN crl-14213 16 17 ( ( PUNCT crl-14213 16 18 eoq eoq ADJ crl-14213 16 19 model model NOUN crl-14213 16 20 ) ) PUNCT crl-14213 16 21 is be AUX crl-14213 16 22 considered consider VERB crl-14213 16 23 to to PART crl-14213 16 24 be be AUX crl-14213 16 25 most most ADV crl-14213 16 26 appropriate appropriate ADJ crl-14213 16 27 for for ADP crl-14213 16 28 application application NOUN crl-14213 16 29 in in ADP crl-14213 16 30 the the DET crl-14213 16 31 context context NOUN crl-14213 16 32 of of ADP crl-14213 16 33 a a DET crl-14213 16 34 library library NOUN crl-14213 16 35 inventory inventory NOUN crl-14213 16 36 of of ADP crl-14213 16 37 consumable consumable ADJ crl-14213 16 38 items item NOUN crl-14213 16 39 . . PUNCT crl-14213 17 1 let let VERB crl-14213 17 2 s s PRON crl-14213 17 3 = = VERB crl-14213 17 4 fixed fix VERB crl-14213 17 5 cost cost NOUN crl-14213 17 6 associated associate VERB crl-14213 17 7 with with ADP crl-14213 17 8 a a DET crl-14213 17 9 replenishment replenishment NOUN crl-14213 17 10 ; ; PUNCT crl-14213 17 11 s. s. PROPN crl-14213 17 12 k. k. PROPN crl-14213 17 13 goyal goyal PROPN crl-14213 17 14 is be AUX crl-14213 17 15 professor professor NOUN crl-14213 17 16 in in ADP crl-14213 17 17 the the DET crl-14213 17 18 department department NOUN crl-14213 17 19 of of ADP crl-14213 17 20 quantitative quantitative ADJ crl-14213 17 21 methods method NOUN crl-14213 17 22 at at ADP crl-14213 17 23 concordia concordia PROPN crl-14213 17 24 university university PROPN crl-14213 17 25 , , PUNCT crl-14213 17 26 montreal montreal PROPN crl-14213 17 27 , , PUNCT crl-14213 17 28 quebec quebec PROPN crl-14213 17 29 , , PUNCT crl-14213 17 30 canada canada PROPN crl-14213 17 31 , , PUNCT crl-14213 17 32 h3 h3 PROPN crl-14213 17 33 g g PROPN crl-14213 17 34 1 1 NUM crl-14213 17 35 mb mb NOUN crl-14213 17 36 . . PUNCT crl-14213 17 37 275 275 NUM crl-14213 17 38 276 276 NUM crl-14213 17 39 college college PROPN crl-14213 17 40 & & CCONJ crl-14213 17 41 research research PROPN crl-14213 17 42 libraries library NOUN crl-14213 17 43 n n CCONJ crl-14213 17 44 = = SYM crl-14213 17 45 number number NOUN crl-14213 17 46 of of ADP crl-14213 17 47 consumable consumable ADJ crl-14213 17 48 items item NOUN crl-14213 17 49 ordered order VERB crl-14213 17 50 from from ADP crl-14213 17 51 the the DET crl-14213 17 52 supplier supplier NOUN crl-14213 17 53 and and CCONJ crl-14213 17 54 for for ADP crl-14213 17 55 the the DET crl-14213 17 56 i i NOUN crl-14213 17 57 th th PRON crl-14213 17 58 item item NOUN crl-14213 17 59 ; ; PUNCT crl-14213 17 60 si si X crl-14213 17 61 = = X crl-14213 17 62 variable variable ADJ crl-14213 17 63 cost cost NOUN crl-14213 17 64 of of ADP crl-14213 17 65 including include VERB crl-14213 17 66 the the DET crl-14213 17 67 item item NOUN crl-14213 17 68 on on ADP crl-14213 17 69 the the DET crl-14213 17 70 replenishment replenishment NOUN crl-14213 17 71 order order NOUN crl-14213 17 72 ; ; PUNCT crl-14213 17 73 di= di= VERB crl-14213 17 74 demand demand NOUN crl-14213 17 75 per per ADP crl-14213 17 76 year year NOUN crl-14213 17 77 ; ; PUNCT crl-14213 18 1 h h PROPN crl-14213 18 2 i i PRON crl-14213 18 3 = = NOUN crl-14213 18 4 stock stock NOUN crl-14213 18 5 holding hold VERB crl-14213 18 6 cost cost NOUN crl-14213 18 7 per per ADP crl-14213 18 8 item item NOUN crl-14213 18 9 per per ADP crl-14213 18 10 year year NOUN crl-14213 18 11 . . PUNCT crl-14213 19 1 in in ADP crl-14213 19 2 the the DET crl-14213 19 3 first first ADJ crl-14213 19 4 instance instance NOUN crl-14213 19 5 , , PUNCT crl-14213 19 6 where where SCONJ crl-14213 19 7 each each DET crl-14213 19 8 item item NOUN crl-14213 19 9 is be AUX crl-14213 19 10 ordered order VERB crl-14213 19 11 on on ADP crl-14213 19 12 its its PRON crl-14213 19 13 own own ADJ crl-14213 19 14 , , PUNCT crl-14213 19 15 the the DET crl-14213 19 16 eoq eoq NOUN crl-14213 19 17 and and CCONJ crl-14213 19 18 the the DET crl-14213 19 19 minimum minimum ADJ crl-14213 19 20 annual annual ADJ crl-14213 19 21 cost cost NOUN crl-14213 19 22 ( ( PUNCT crl-14213 19 23 mac(eoq mac(eoq NUM crl-14213 19 24 ) ) PUNCT crl-14213 19 25 ) ) PUNCT crl-14213 19 26 , , PUNCT crl-14213 19 27 for for ADP crl-14213 19 28 the the DET crl-14213 19 29 th th NOUN crl-14213 19 30 items item NOUN crl-14213 19 31 are be AUX crl-14213 19 32 given give VERB crl-14213 19 33 by by ADP crl-14213 19 34 formulas formula NOUN crl-14213 19 35 1 1 NUM crl-14213 19 36 and and CCONJ crl-14213 19 37 2 2 NUM crl-14213 19 38 . . X crl-14213 19 39 the the DET crl-14213 19 40 i i PROPN crl-14213 19 41 2di 2di PROPN crl-14213 19 42 ( ( PUNCT crl-14213 19 43 5 5 NUM crl-14213 19 44 + + NUM crl-14213 19 45 5j 5j NUM crl-14213 19 46 ( ( PUNCT crl-14213 19 47 eoq)i eoq)i VERB crl-14213 19 48 hi hi INTJ crl-14213 19 49 ( ( PUNCT crl-14213 19 50 mac(eoq))i mac(eoq))i ADP crl-14213 19 51 i i PRON crl-14213 19 52 2dihi 2dihi NUM crl-14213 19 53 ( ( PUNCT crl-14213 19 54 5 5 NUM crl-14213 19 55 + + NUM crl-14213 19 56 5i 5i NUM crl-14213 19 57 ) ) PUNCT crl-14213 19 58 n n NOUN crl-14213 19 59 may may AUX crl-14213 19 60 1986 1986 NUM crl-14213 19 61 minimum minimum ADJ crl-14213 19 62 annual annual ADJ crl-14213 19 63 cost cost NOUN crl-14213 19 64 for for ADP crl-14213 19 65 all all DET crl-14213 19 66 the the DET crl-14213 19 67 consumable consumable ADJ crl-14213 19 68 items item NOUN crl-14213 19 69 is be AUX crl-14213 19 70 given give VERB crl-14213 19 71 by by ADP crl-14213 19 72 formula formula NOUN crl-14213 19 73 3 3 NUM crl-14213 19 74 . . PUNCT crl-14213 20 1 in in ADP crl-14213 20 2 the the DET crl-14213 20 3 second second ADJ crl-14213 20 4 instance instance NOUN crl-14213 20 5 where where SCONJ crl-14213 20 6 items item NOUN crl-14213 20 7 are be AUX crl-14213 20 8 ordered order VERB crl-14213 20 9 jointly jointly ADV crl-14213 20 10 , , PUNCT crl-14213 20 11 let let VERB crl-14213 20 12 trepresent trepresent NOUN crl-14213 20 13 the the DET crl-14213 20 14 time time NOUN crl-14213 20 15 interval interval NOUN crl-14213 20 16 between between ADP crl-14213 20 17 replenishments replenishment NOUN crl-14213 20 18 . . PUNCT crl-14213 21 1 the the DET crl-14213 21 2 order order NOUN crl-14213 21 3 quantity quantity NOUN crl-14213 21 4 for for ADP crl-14213 21 5 the the DET crl-14213 21 6 ith ith PROPN crl-14213 21 7 item item NOUN crl-14213 21 8 will will AUX crl-14213 21 9 be be AUX crl-14213 21 10 tdi tdi PROPN crl-14213 21 11 . . PUNCT crl-14213 22 1 hence hence ADV crl-14213 22 2 the the DET crl-14213 22 3 annual annual ADJ crl-14213 22 4 cost cost NOUN crl-14213 22 5 , , PUNCT crl-14213 22 6 z z PROPN crl-14213 22 7 , , PUNCT crl-14213 22 8 of of ADP crl-14213 22 9 ordering ordering NOUN crl-14213 22 10 and and CCONJ crl-14213 22 11 stock stock NOUN crl-14213 22 12 holding holding NOUN crl-14213 22 13 in in ADP crl-14213 22 14 case case NOUN crl-14213 22 15 of of ADP crl-14213 22 16 joint joint ADJ crl-14213 22 17 replenishment replenishment NOUN crl-14213 22 18 is be AUX crl-14213 22 19 given give VERB crl-14213 22 20 by by ADP crl-14213 22 21 formula formula NOUN crl-14213 22 22 4 4 NUM crl-14213 22 23 . . PUNCT crl-14213 23 1 the the DET crl-14213 23 2 total total ADJ crl-14213 23 3 annual annual ADJ crl-14213 23 4 cost cost NOUN crl-14213 23 5 has have VERB crl-14213 23 6 a a DET crl-14213 23 7 least least ADJ crl-14213 23 8 value value NOUN crl-14213 23 9 at at ADP crl-14213 23 10 t t NOUN crl-14213 23 11 = = X crl-14213 23 12 to to ADP crl-14213 23 13 as as SCONJ crl-14213 23 14 given give VERB crl-14213 23 15 in in ADP crl-14213 23 16 formulas formula NOUN crl-14213 23 17 5 5 NUM crl-14213 23 18 and and CCONJ crl-14213 23 19 6 6 NUM crl-14213 23 20 . . PROPN crl-14213 23 21 l l PROPN crl-14213 23 22 ( ( PUNCT crl-14213 23 23 1 1 NUM crl-14213 23 24 ) ) PUNCT crl-14213 23 25 ( ( PUNCT crl-14213 23 26 2 2 NUM crl-14213 23 27 ) ) PUNCT crl-14213 23 28 ( ( PUNCT crl-14213 23 29 mac(eoq mac(eoq NUM crl-14213 23 30 ) ) PUNCT crl-14213 23 31 ) ) PUNCT crl-14213 24 1 e e NOUN crl-14213 24 2 i i PRON crl-14213 24 3 2dihi(5 2dihi(5 NUM crl-14213 24 4 + + NUM crl-14213 24 5 5i 5i NUM crl-14213 24 6 ) ) PUNCT crl-14213 24 7 ( ( PUNCT crl-14213 24 8 3 3 X crl-14213 24 9 ) ) PUNCT crl-14213 24 10 i i PRON crl-14213 24 11 = = PROPN crl-14213 24 12 l l X crl-14213 24 13 n n PROPN crl-14213 24 14 ( ( PUNCT crl-14213 24 15 5 5 NUM crl-14213 24 16 + + NUM crl-14213 24 17 l l NOUN crl-14213 24 18 : : PUNCT crl-14213 24 19 5 5 X crl-14213 24 20 ) ) PUNCT crl-14213 24 21 i i PRON crl-14213 24 22 = = NOUN crl-14213 25 1 l l X crl-14213 25 2 z z NOUN crl-14213 25 3 + + CCONJ crl-14213 25 4 t t NOUN crl-14213 25 5 n n ADP crl-14213 25 6 2(5 2(5 NUM crl-14213 25 7 + + NUM crl-14213 25 8 l l NOUN crl-14213 25 9 : : PUNCT crl-14213 25 10 5i 5i X crl-14213 25 11 ) ) PUNCT crl-14213 26 1 i i PRON crl-14213 26 2 = = VERB crl-14213 26 3 l l NOUN crl-14213 26 4 to to ADP crl-14213 26 5 n n PROPN crl-14213 26 6 l l NOUN crl-14213 26 7 : : PUNCT crl-14213 26 8 dihi dihi PROPN crl-14213 26 9 i i PROPN crl-14213 26 10 = = PROPN crl-14213 26 11 l l X crl-14213 26 12 ( ( PUNCT crl-14213 26 13 mac(joint mac(joint NOUN crl-14213 26 14 ) ) PUNCT crl-14213 26 15 ) ) PUNCT crl-14213 27 1 ( ( PUNCT crl-14213 27 2 eoq(joint))i eoq(joint))i NOUN crl-14213 27 3 t t PROPN crl-14213 27 4 n n X crl-14213 27 5 l l NOUN crl-14213 27 6 : : PUNCT crl-14213 27 7 dihi dihi PROPN crl-14213 27 8 2 2 NUM crl-14213 27 9 i i PRON crl-14213 27 10 = = PROPN crl-14213 27 11 l l NOUN crl-14213 27 12 n n X crl-14213 27 13 2(5 2(5 NOUN crl-14213 27 14 + + NUM crl-14213 27 15 l l NOUN crl-14213 27 16 : : PUNCT crl-14213 27 17 5i 5i X crl-14213 27 18 ) ) PUNCT crl-14213 27 19 i i PRON crl-14213 28 1 = = NOUN crl-14213 28 2 l l NOUN crl-14213 28 3 2 2 NUM crl-14213 28 4 ( ( PUNCT crl-14213 28 5 5 5 NUM crl-14213 28 6 + + NUM crl-14213 28 7 l l NOUN crl-14213 28 8 : : PUNCT crl-14213 28 9 5i 5i X crl-14213 28 10 ) ) PUNCT crl-14213 28 11 i i PRON crl-14213 29 1 = = PROPN crl-14213 29 2 l l NOUN crl-14213 29 3 ( ( PUNCT crl-14213 29 4 4 4 NUM crl-14213 29 5 ) ) PUNCT crl-14213 29 6 ( ( PUNCT crl-14213 29 7 5 5 NUM crl-14213 29 8 ) ) PUNCT crl-14213 29 9 n n X crl-14213 29 10 l l NOUN crl-14213 29 11 : : PUNCT crl-14213 29 12 dihi dihi PROPN crl-14213 29 13 ( ( PUNCT crl-14213 29 14 6 6 NUM crl-14213 29 15 ) ) PUNCT crl-14213 29 16 i i PRON crl-14213 29 17 = = PROPN crl-14213 29 18 l l NOUN crl-14213 29 19 ( ( PUNCT crl-14213 29 20 7 7 NUM crl-14213 29 21 ) ) PUNCT crl-14213 29 22 the the DET crl-14213 29 23 economic economic ADJ crl-14213 29 24 order order NOUN crl-14213 29 25 quantity quantity NOUN crl-14213 29 26 for for ADP crl-14213 29 27 the the DET crl-14213 29 28 ith ith PROPN crl-14213 29 29 item item NOUN crl-14213 29 30 is be AUX crl-14213 29 31 given give VERB crl-14213 29 32 by by ADP crl-14213 29 33 formula formula NOUN crl-14213 29 34 7 7 NUM crl-14213 29 35 . . PUNCT crl-14213 30 1 if if SCONJ crl-14213 30 2 the the DET crl-14213 30 3 total total ADJ crl-14213 30 4 annual annual ADJ crl-14213 30 5 cost cost NOUN crl-14213 30 6 ( ( PUNCT crl-14213 30 7 macgoint macgoint NOUN crl-14213 30 8 ) ) PUNCT crl-14213 30 9 ) ) PUNCT crl-14213 30 10 as as SCONJ crl-14213 30 11 obtained obtain VERB crl-14213 30 12 from from ADP crl-14213 30 13 ( ( PUNCT crl-14213 30 14 6 6 NUM crl-14213 30 15 ) ) PUNCT crl-14213 30 16 is be AUX crl-14213 30 17 lower low ADJ crl-14213 30 18 than than ADP crl-14213 30 19 the the DET crl-14213 30 20 ( ( PUNCT crl-14213 30 21 mac(eoq mac(eoq NUM crl-14213 30 22 ) ) PUNCT crl-14213 30 23 ) ) PUNCT crl-14213 30 24 evaluated evaluate VERB crl-14213 30 25 from from ADP crl-14213 30 26 ( ( PUNCT crl-14213 30 27 3 3 NUM crl-14213 30 28 ) ) PUNCT crl-14213 30 29 , , PUNCT crl-14213 30 30 then then ADV crl-14213 30 31 it it PRON crl-14213 30 32 is be AUX crl-14213 30 33 more more ADV crl-14213 30 34 economical economical ADJ crl-14213 30 35 to to PART crl-14213 30 36 order order VERB crl-14213 30 37 items item NOUN crl-14213 30 38 jointly jointly ADV crl-14213 30 39 . . PUNCT crl-14213 31 1 very very ADV crl-14213 31 2 often often ADV crl-14213 31 3 , , PUNCT crl-14213 31 4 the the DET crl-14213 31 5 ( ( PUNCT crl-14213 31 6 eoqgoint eoqgoint NOUN crl-14213 31 7 ) ) PUNCT crl-14213 31 8 ) ) PUNCT crl-14213 31 9 ; ; PUNCT crl-14213 31 10 for for ADP crl-14213 31 11 some some DET crl-14213 31 12 items item NOUN crl-14213 31 13 may may AUX crl-14213 31 14 be be AUX crl-14213 31 15 lower low ADJ crl-14213 31 16 than than ADP crl-14213 31 17 the the DET crl-14213 31 18 eoq eoq NOUN crl-14213 31 19 when when SCONJ crl-14213 31 20 the the DET crl-14213 31 21 item item NOUN crl-14213 31 22 is be AUX crl-14213 31 23 ordered order VERB crl-14213 31 24 on on ADP crl-14213 31 25 its its PRON crl-14213 31 26 own own ADJ crl-14213 31 27 without without ADP crl-14213 31 28 incurring incur VERB crl-14213 31 29 the the DET crl-14213 31 30 fixed fix VERB crl-14213 31 31 cost cost NOUN crl-14213 31 32 , , PUNCT crl-14213 31 33 s s PROPN crl-14213 31 34 , , PUNCT crl-14213 31 35 ( ( PUNCT crl-14213 31 36 in in ADP crl-14213 31 37 such such DET crl-14213 31 38 a a DET crl-14213 31 39 situation situation NOUN crl-14213 31 40 [ [ PUNCT crl-14213 31 41 ( ( PUNCT crl-14213 31 42 eoq eoq ADV crl-14213 31 43 ) ) PUNCT crl-14213 31 44 ; ; PUNCT crl-14213 31 45 = = X crl-14213 31 46 /wia /wia PUNCT crl-14213 31 47 ) ) PUNCT crl-14213 31 48 ] ] PUNCT crl-14213 31 49 . . PUNCT crl-14213 32 1 for for ADP crl-14213 32 2 these these DET crl-14213 32 3 items item NOUN crl-14213 32 4 it it PRON crl-14213 32 5 makes make VERB crl-14213 32 6 sense sense NOUN crl-14213 32 7 to to PART crl-14213 32 8 order order VERB crl-14213 32 9 less less ADV crl-14213 32 10 frequently frequently ADV crl-14213 32 11 , , PUNCT crl-14213 32 12 every every DET crl-14213 32 13 second second ADJ crl-14213 32 14 replenishment replenishment NOUN crl-14213 32 15 or or CCONJ crl-14213 32 16 every every DET crl-14213 32 17 third third ADJ crl-14213 32 18 , , PUNCT crl-14213 32 19 and and CCONJ crl-14213 32 20 so so ADV crl-14213 32 21 on on ADV crl-14213 32 22 . . PUNCT crl-14213 33 1 in in ADP crl-14213 33 2 short short ADJ crl-14213 33 3 , , PUNCT crl-14213 33 4 the the DET crl-14213 33 5 ith ith PROPN crl-14213 33 6 item item NOUN crl-14213 33 7 may may AUX crl-14213 33 8 be be AUX crl-14213 33 9 ordered order VERB crl-14213 33 10 in in ADP crl-14213 33 11 every every DET crl-14213 33 12 k k PROPN crl-14213 33 13 / / SYM crl-14213 33 14 h h NOUN crl-14213 33 15 replenishment replenishment NOUN crl-14213 33 16 where where SCONJ crl-14213 33 17 k;= k;= PROPN crl-14213 33 18 1 1 NUM crl-14213 33 19 , , PUNCT crl-14213 33 20 2 2 NUM crl-14213 33 21 , , PUNCT crl-14213 33 22 3 3 NUM crl-14213 33 23 , , PUNCT crl-14213 33 24 and and CCONJ crl-14213 33 25 so so ADV crl-14213 33 26 on on ADV crl-14213 33 27 . . PUNCT crl-14213 34 1 in in ADP crl-14213 34 2 order order NOUN crl-14213 34 3 to to PART crl-14213 34 4 determine determine VERB crl-14213 34 5 the the DET crl-14213 34 6 value value NOUN crl-14213 34 7 of of ADP crl-14213 34 8 k k PROPN crl-14213 34 9 ; ; PUNCT crl-14213 34 10 , , PUNCT crl-14213 34 11 we we PRON crl-14213 34 12 select select VERB crl-14213 34 13 the the DET crl-14213 34 14 nearest near ADJ crl-14213 34 15 non non ADJ crl-14213 34 16 - - ADJ crl-14213 34 17 zero zero NUM crl-14213 34 18 integer integer NOUN crl-14213 34 19 number number NOUN crl-14213 34 20 from from ADP crl-14213 34 21 the the DET crl-14213 34 22 ratio ratio NOUN crl-14213 34 23 shown show VERB crl-14213 34 24 as as ADP crl-14213 34 25 formula formula NOUN crl-14213 34 26 8 8 NUM crl-14213 34 27 . . PUNCT crl-14213 35 1 see see VERB crl-14213 35 2 silver6 silver6 NOUN crl-14213 35 3 for for ADP crl-14213 35 4 determining determine VERB crl-14213 35 5 the the DET crl-14213 35 6 value value NOUN crl-14213 35 7 of of ADP crl-14213 35 8 k k PROPN crl-14213 35 9 ; ; PUNCT crl-14213 35 10 . . PUNCT crl-14213 36 1 the the DET crl-14213 36 2 time time NOUN crl-14213 36 3 interval interval NOUN crl-14213 36 4 between between ADP crl-14213 36 5 replenishments replenishment NOUN crl-14213 36 6 , , PUNCT crl-14213 36 7 the the DET crl-14213 36 8 order order NOUN crl-14213 36 9 quantity quantity NOUN crl-14213 36 10 for for ADP crl-14213 36 11 the the DET crl-14213 36 12 ith ith PROPN crl-14213 36 13 item item NOUN crl-14213 36 14 and and CCONJ crl-14213 36 15 the the DET crl-14213 36 16 ( ( PUNCT crl-14213 36 17 mac(joint mac(joint NOUN crl-14213 36 18 ) ) PUNCT crl-14213 36 19 ) ) PUNCT crl-14213 36 20 are be AUX crl-14213 36 21 given give VERB crl-14213 36 22 by by ADP crl-14213 36 23 for for ADP crl-14213 36 24 . . PUNCT crl-14213 37 1 mulas mulas PROPN crl-14213 37 2 9 9 NUM crl-14213 37 3 , , PUNCT crl-14213 37 4 10 10 NUM crl-14213 37 5 , , PUNCT crl-14213 37 6 and and CCONJ crl-14213 37 7 11 11 NUM crl-14213 37 8 . . PUNCT crl-14213 38 1 therefore therefore ADV crl-14213 38 2 , , PUNCT crl-14213 38 3 for for ADP crl-14213 38 4 items item NOUN crl-14213 38 5 purchased purchase VERB crl-14213 38 6 from from ADP crl-14213 38 7 a a DET crl-14213 38 8 single single ADJ crl-14213 38 9 supplier supplier NOUN crl-14213 38 10 , , PUNCT crl-14213 38 11 the the DET crl-14213 38 12 following follow VERB crl-14213 38 13 steps step NOUN crl-14213 38 14 j j PROPN crl-14213 38 15 ( ( PUNCT crl-14213 38 16 eoqgoint eoqgoint NOUN crl-14213 38 17 ) ) PUNCT crl-14213 38 18 ) ) PUNCT crl-14213 38 19 ; ; PUNCT crl-14213 38 20 n n CCONJ crl-14213 38 21 research research NOUN crl-14213 38 22 notes note NOUN crl-14213 38 23 277 277 NUM crl-14213 38 24 should should AUX crl-14213 38 25 be be AUX crl-14213 38 26 implemented implement VERB crl-14213 38 27 for for ADP crl-14213 38 28 determining determine VERB crl-14213 38 29 the the DET crl-14213 38 30 economic economic ADJ crl-14213 38 31 ordering ordering NOUN crl-14213 38 32 policy policy NOUN crl-14213 38 33 . . PUNCT crl-14213 39 1 a a DET crl-14213 39 2 systematic systematic ADJ crl-14213 39 3 procedure procedure NOUN crl-14213 39 4 for for ADP crl-14213 39 5 determining determine VERB crl-14213 39 6 the the DET crl-14213 39 7 economic economic ADJ crl-14213 39 8 policy policy NOUN crl-14213 39 9 step step NOUN crl-14213 39 10 1 1 NUM crl-14213 39 11 . . PUNCT crl-14213 39 12 for for ADP crl-14213 39 13 each each DET crl-14213 39 14 item item NOUN crl-14213 39 15 i=1 i=1 PROPN crl-14213 39 16 , , PUNCT crl-14213 39 17 2 2 NUM crl-14213 39 18 , , PUNCT crl-14213 39 19 ... ... PUNCT crl-14213 39 20 , , PUNCT crl-14213 39 21 n n PROPN crl-14213 39 22 , , PUNCT crl-14213 39 23 evaluate evaluate VERB crl-14213 39 24 ( ( PUNCT crl-14213 39 25 eoq eoq ADV crl-14213 39 26 ) ) PUNCT crl-14213 39 27 ; ; PUNCT crl-14213 39 28 from from ADP crl-14213 39 29 ( ( PUNCT crl-14213 39 30 1 1 NUM crl-14213 39 31 ) ) PUNCT crl-14213 39 32 , , PUNCT crl-14213 39 33 and and CCONJ crl-14213 39 34 ( ( PUNCT crl-14213 39 35 mac(eoq mac(eoq NUM crl-14213 39 36 ) ) PUNCT crl-14213 39 37 ) ) PUNCT crl-14213 39 38 from from ADP crl-14213 39 39 ( ( PUNCT crl-14213 39 40 3 3 NUM crl-14213 39 41 ) ) PUNCT crl-14213 39 42 . . PUNCT crl-14213 40 1 step step NOUN crl-14213 40 2 2 2 NUM crl-14213 40 3 . . X crl-14213 40 4 obtain obtain VERB crl-14213 40 5 ( ( PUNCT crl-14213 40 6 eoq(joint eoq(joint NOUN crl-14213 40 7 ) ) PUNCT crl-14213 40 8 ) ) PUNCT crl-14213 40 9 ; ; PUNCT crl-14213 40 10 from from ADP crl-14213 40 11 ( ( PUNCT crl-14213 40 12 7 7 NUM crl-14213 40 13 } } PUNCT crl-14213 40 14 , , PUNCT crl-14213 40 15 evaluate evaluate VERB crl-14213 40 16 ( ( PUNCT crl-14213 40 17 eoq(joint eoq(joint NOUN crl-14213 40 18 ) ) PUNCT crl-14213 40 19 ) ) PUNCT crl-14213 40 20 ; ; PUNCT crl-14213 40 21 and and CCONJ crl-14213 40 22 select select VERB crl-14213 40 23 the the DET crl-14213 40 24 nearest near ADJ crl-14213 40 25 non non ADJ crl-14213 40 26 - - ADJ crl-14213 40 27 zero zero NUM crl-14213 40 28 integer integer NOUN crl-14213 40 29 as as ADP crl-14213 40 30 the the DET crl-14213 40 31 value value NOUN crl-14213 40 32 of of ADP crl-14213 40 33 k k PROPN crl-14213 40 34 ; ; PUNCT crl-14213 40 35 for for ADP crl-14213 40 36 i=1 i=1 PROPN crl-14213 40 37 , , PUNCT crl-14213 40 38 2 2 NUM crl-14213 40 39 , , PUNCT crl-14213 40 40 ... ... PUNCT crl-14213 40 41 , , PUNCT crl-14213 40 42 n. n. PROPN crl-14213 40 43 step step NOUN crl-14213 40 44 3 3 NUM crl-14213 40 45 . . PUNCT crl-14213 40 46 determine determine VERB crl-14213 40 47 ( ( PUNCT crl-14213 40 48 mac(joint mac(joint NOUN crl-14213 40 49 ) ) PUNCT crl-14213 40 50 } } PUNCT crl-14213 40 51 from from ADP crl-14213 40 52 ( ( PUNCT crl-14213 40 53 11 11 NUM crl-14213 40 54 ) ) PUNCT crl-14213 40 55 , , PUNCT crl-14213 40 56 if if SCONJ crl-14213 40 57 ( ( PUNCT crl-14213 40 58 mac(eoq mac(eoq NUM crl-14213 40 59 ) ) PUNCT crl-14213 40 60 ) ) PUNCT crl-14213 40 61 ~ ~ PUNCT crl-14213 40 62 ( ( PUNCT crl-14213 40 63 mac(joint mac(joint NOUN crl-14213 40 64 ) ) PUNCT crl-14213 40 65 ) ) PUNCT crl-14213 40 66 then then ADV crl-14213 40 67 select select VERB crl-14213 40 68 ( ( PUNCT crl-14213 40 69 eoq eoq ADV crl-14213 40 70 ) ) PUNCT crl-14213 40 71 ; ; PUNCT crl-14213 40 72 as as ADP crl-14213 40 73 the the DET crl-14213 40 74 order order NOUN crl-14213 40 75 quantity quantity NOUN crl-14213 40 76 for for ADP crl-14213 40 77 each each DET crl-14213 40 78 item item NOUN crl-14213 40 79 and and CCONJ crl-14213 40 80 the the DET crl-14213 40 81 policy policy NOUN crl-14213 40 82 is be AUX crl-14213 40 83 to to PART crl-14213 40 84 order order VERB crl-14213 40 85 items item NOUN crl-14213 40 86 individually individually ADV crl-14213 40 87 . . PUNCT crl-14213 41 1 if if SCONJ crl-14213 41 2 ( ( PUNCT crl-14213 41 3 mac(eoq mac(eoq NUM crl-14213 41 4 ) ) PUNCT crl-14213 41 5 ) ) PUNCT crl-14213 41 6 > > PROPN crl-14213 41 7 ( ( PUNCT crl-14213 41 8 mac(joint mac(joint NOUN crl-14213 41 9 ) ) PUNCT crl-14213 41 10 ) ) PUNCT crl-14213 41 11 then then ADV crl-14213 41 12 items item NOUN crl-14213 41 13 are be AUX crl-14213 41 14 ordered order VERB crl-14213 41 15 jointly jointly ADV crl-14213 41 16 . . PUNCT crl-14213 42 1 an an DET crl-14213 42 2 example example NOUN crl-14213 42 3 a a DET crl-14213 42 4 library library NOUN crl-14213 42 5 orders order NOUN crl-14213 42 6 photocopying photocopy VERB crl-14213 42 7 paper paper NOUN crl-14213 42 8 in in ADP crl-14213 42 9 two two NUM crl-14213 42 10 sizes size NOUN crl-14213 42 11 from from ADP crl-14213 42 12 a a DET crl-14213 42 13 supplier supplier NOUN crl-14213 42 14 . . PUNCT crl-14213 43 1 the the DET crl-14213 43 2 various various ADJ crl-14213 43 3 es(8 es(8 PROPN crl-14213 43 4 ) ) PUNCT crl-14213 43 5 2(5 2(5 NOUN crl-14213 44 1 + + NUM crl-14213 44 2 i i NOUN crl-14213 44 3 : : PUNCT crl-14213 44 4 5 5 NUM crl-14213 44 5 / / SYM crl-14213 44 6 k k NUM crl-14213 44 7 ;) ;) X crl-14213 44 8 i=1 i=1 NOUN crl-14213 44 9 t(joint t(joint NOUN crl-14213 44 10 ) ) PUNCT crl-14213 44 11 ( ( PUNCT crl-14213 44 12 9 9 NUM crl-14213 44 13 ) ) PUNCT crl-14213 44 14 ( ( PUNCT crl-14213 44 15 eoqgoint eoqgoint NOUN crl-14213 44 16 ) ) PUNCT crl-14213 44 17 ) ) PUNCT crl-14213 44 18 ; ; PUNCT crl-14213 44 19 d d X crl-14213 44 20 ; ; PUNCT crl-14213 44 21 • • ADJ crl-14213 44 22 tgoint tgoint NOUN crl-14213 44 23 ) ) PUNCT crl-14213 44 24 ( ( PUNCT crl-14213 44 25 10 10 NUM crl-14213 44 26 ) ) PUNCT crl-14213 44 27 n n CCONJ crl-14213 44 28 n n CCONJ crl-14213 44 29 ( ( PUNCT crl-14213 44 30 macgoint macgoint NOUN crl-14213 44 31 ) ) PUNCT crl-14213 44 32 ) ) PUNCT crl-14213 44 33 2(5 2(5 NOUN crl-14213 45 1 + + NUM crl-14213 45 2 i i NOUN crl-14213 45 3 : : PUNCT crl-14213 45 4 5;/k 5;/k NUM crl-14213 45 5 ;) ;) X crl-14213 45 6 i i PRON crl-14213 45 7 : : PUNCT crl-14213 45 8 d;k;h d;k;h VERB crl-14213 45 9 ; ; PUNCT crl-14213 45 10 ( ( PUNCT crl-14213 45 11 11 11 NUM crl-14213 45 12 ) ) PUNCT crl-14213 45 13 i=1 i=1 PROPN crl-14213 45 14 i=1 i=1 PROPN crl-14213 45 15 278 278 NUM crl-14213 45 16 college college PROPN crl-14213 45 17 & & CCONJ crl-14213 45 18 research research PROPN crl-14213 45 19 libraries library NOUN crl-14213 45 20 may may AUX crl-14213 45 21 1986 1986 NUM crl-14213 45 22 step step VERB crl-14213 45 23 1 1 NUM crl-14213 45 24 . . PUNCT crl-14213 45 25 from from ADP crl-14213 45 26 ( ( PUNCT crl-14213 45 27 1 1 NUM crl-14213 45 28 ): ): SYM crl-14213 45 29 i i NOUN crl-14213 45 30 2d1(5 2d1(5 NUM crl-14213 46 1 + + NUM crl-14213 46 2 5 5 NUM crl-14213 46 3 t t NOUN crl-14213 46 4 ) ) PUNCT crl-14213 46 5 j j PROPN crl-14213 46 6 ( ( PUNCT crl-14213 46 7 eoqh eoqh PROPN crl-14213 46 8 h1 h1 PROPN crl-14213 46 9 237boxes 237boxe NOUN crl-14213 47 1 i i PRON crl-14213 47 2 2d2(s 2d2(s NUM crl-14213 47 3 + + NUM crl-14213 47 4 52 52 NUM crl-14213 47 5 ) ) PUNCT crl-14213 47 6 j j PROPN crl-14213 47 7 ( ( PUNCT crl-14213 47 8 eoqh eoqh PROPN crl-14213 47 9 h2 h2 PROPN crl-14213 47 10 87boxes 87boxe NOUN crl-14213 47 11 from from ADP crl-14213 47 12 ( ( PUNCT crl-14213 47 13 3 3 NUM crl-14213 47 14 ): ): PUNCT crl-14213 47 15 ( ( PUNCT crl-14213 47 16 mac(eoq mac(eoq NUM crl-14213 47 17 ) ) PUNCT crl-14213 47 18 ) ) PUNCT crl-14213 48 1 / / PUNCT crl-14213 48 2 21d1h1(5 21d1h1(5 NUM crl-14213 49 1 + + NUM crl-14213 49 2 51 51 NUM crl-14213 49 3 ) ) PUNCT crl-14213 50 1 + + CCONJ crl-14213 50 2 / / SYM crl-14213 50 3 / / SYM crl-14213 50 4 2 2 NUM crl-14213 50 5 x x SYM crl-14213 50 6 1000 1000 NUM crl-14213 50 7 x x SYM crl-14213 50 8 1(20 1(20 NUM crl-14213 50 9 + + CCONJ crl-14213 50 10 8) 8) NUM crl-14213 50 11 + + NOUN crl-14213 50 12 i i NOUN crl-14213 50 13 236.64 236.64 NUM crl-14213 50 14 + + NUM crl-14213 50 15 96.12 96.12 NUM crl-14213 50 16 $ $ SYM crl-14213 50 17 332.76 332.76 NUM crl-14213 50 18 per per ADP crl-14213 50 19 year year NOUN crl-14213 50 20 step step NOUN crl-14213 50 21 2 2 NUM crl-14213 50 22 . . PUNCT crl-14213 50 23 from from ADP crl-14213 50 24 ( ( PUNCT crl-14213 50 25 7 7 NUM crl-14213 50 26 ): ): SYM crl-14213 50 27 2(5 2(5 NUM crl-14213 51 1 + + NUM crl-14213 51 2 51 51 NUM crl-14213 51 3 + + NUM crl-14213 51 4 52 52 NUM crl-14213 51 5 ) ) PUNCT crl-14213 51 6 ( ( PUNCT crl-14213 51 7 eoqgoint)h eoqgoint)h X crl-14213 51 8 dt dt VERB crl-14213 51 9 1000 1000 NUM crl-14213 51 10 249boxes 249boxes PROPN crl-14213 51 11 . . PUNCT crl-14213 51 12 . . PUNCT crl-14213 52 1 ( ( PUNCT crl-14213 52 2 eoqgoint)h eoqgoint)h PROPN crl-14213 52 3 d2 d2 PROPN crl-14213 52 4 37boxes 37boxe NOUN crl-14213 52 5 . . PUNCT crl-14213 53 1 ( ( PUNCT crl-14213 53 2 eoqgoint))t eoqgoint))t PROPN crl-14213 53 3 ( ( PUNCT crl-14213 53 4 eoqgoint)h eoqgoint)h NOUN crl-14213 53 5 step step NOUN crl-14213 53 6 3 3 NUM crl-14213 53 7 . . PUNCT crl-14213 53 8 from from ADP crl-14213 53 9 ( ( PUNCT crl-14213 53 10 11 11 NUM crl-14213 53 11 ): ): PUNCT crl-14213 53 12 ( ( PUNCT crl-14213 53 13 macgoint macgoint NOUN crl-14213 53 14 ) ) PUNCT crl-14213 53 15 ) ) PUNCT crl-14213 53 16 / / PUNCT crl-14213 54 1 d1h d1h ADJ crl-14213 54 2 1 1 NUM crl-14213 54 3 + + NUM crl-14213 54 4 d2h2 d2h2 X crl-14213 54 5 v v NOUN crl-14213 54 6 2 2 NUM crl-14213 54 7 x x SYM crl-14213 54 8 1000 1000 NUM crl-14213 54 9 8/1 8/1 NUM crl-14213 54 10 249 249 NUM crl-14213 54 11 v v NOUN crl-14213 54 12 ' ' NUM crl-14213 54 13 2x150x8/1.1 2x150x8/1.1 NUM crl-14213 54 14 37 37 NUM crl-14213 54 15 / / SYM crl-14213 54 16 2(20 2(20 NUM crl-14213 54 17 + + NUM crl-14213 54 18 8 8 NUM crl-14213 54 19 + + NUM crl-14213 54 20 8)(1000x1x1 8)(1000x1x1 NOUN crl-14213 54 21 + + NUM crl-14213 54 22 150x1.1x1 150x1.1x1 PROPN crl-14213 54 23 ) ) PUNCT crl-14213 55 1 = = PUNCT crl-14213 55 2 $ $ SYM crl-14213 55 3 289.62 289.62 NUM crl-14213 55 4 per per ADP crl-14213 55 5 year year NOUN crl-14213 55 6 figure figure NOUN crl-14213 55 7 1 1 NUM crl-14213 55 8 2 2 NUM crl-14213 55 9 x x SYM crl-14213 55 10 1000(20 1000(20 NUM crl-14213 55 11 + + NUM crl-14213 55 12 8) 8) NUM crl-14213 55 13 1 1 NUM crl-14213 55 14 2 2 NUM crl-14213 55 15 x x SYM crl-14213 55 16 150(20 150(20 NUM crl-14213 56 1 + + NUM crl-14213 56 2 8) 8) NUM crl-14213 56 3 1.1 1.1 NUM crl-14213 56 4 2d2h2(s 2d2h2(s NOUN crl-14213 56 5 + + PUNCT crl-14213 56 6 s2 s2 NOUN crl-14213 56 7 ) ) PUNCT crl-14213 57 1 2 2 NUM crl-14213 57 2 x x SYM crl-14213 57 3 150 150 NUM crl-14213 57 4 x x SYM crl-14213 57 5 1.1(20 1.1(20 NUM crl-14213 57 6 + + NUM crl-14213 57 7 8) 8) NUM crl-14213 57 8 2(20 2(20 NUM crl-14213 57 9 + + SYM crl-14213 57 10 8 8 NUM crl-14213 57 11 + + NUM crl-14213 57 12 8) 8) NUM crl-14213 57 13 ( ( PUNCT crl-14213 57 14 1000x1 1000x1 NOUN crl-14213 57 15 + + NUM crl-14213 57 16 150x1.1 150x1.1 NUM crl-14213 57 17 ) ) PUNCT crl-14213 57 18 0.51 0.51 NUM crl-14213 57 19 , , PUNCT crl-14213 57 20 hence hence ADV crl-14213 57 21 k1 k1 PROPN crl-14213 57 22 = = SYM crl-14213 57 23 1 1 NUM crl-14213 57 24 1.26 1.26 NUM crl-14213 57 25 , , PUNCT crl-14213 57 26 hence hence ADV crl-14213 57 27 k2 k2 PROPN crl-14213 57 28 = = SYM crl-14213 57 29 1 1 NUM crl-14213 57 30 research research NOUN crl-14213 57 31 notes note NOUN crl-14213 57 32 279 279 NUM crl-14213 57 33 2(20 2(20 NUM crl-14213 57 34 + + SYM crl-14213 57 35 8 8 NUM crl-14213 57 36 + + NUM crl-14213 57 37 8) 8) NUM crl-14213 57 38 to to ADP crl-14213 57 39 oint oint ADJ crl-14213 57 40 ) ) PUNCT crl-14213 57 41 1000 1000 NUM crl-14213 57 42 + + NUM crl-14213 57 43 165 165 NUM crl-14213 57 44 0.249 0.249 NUM crl-14213 57 45 years year NOUN crl-14213 57 46 · · PUNCT crl-14213 57 47 ( ( PUNCT crl-14213 57 48 eoqooint))t eoqooint))t NOUN crl-14213 57 49 249 249 NUM crl-14213 57 50 boxes box NOUN crl-14213 57 51 ; ; PUNCT crl-14213 57 52 ( ( PUNCT crl-14213 57 53 eoqooint)h eoqooint)h VERB crl-14213 57 54 = = SYM crl-14213 57 55 37 37 NUM crl-14213 57 56 boxes box NOUN crl-14213 57 57 figure2 figure2 VERB crl-14213 57 58 timates timate VERB crl-14213 57 59 for for ADP crl-14213 57 60 the the DET crl-14213 57 61 problem problem NOUN crl-14213 57 62 are be AUX crl-14213 57 63 given give VERB crl-14213 57 64 below below ADV crl-14213 57 65 : : PUNCT crl-14213 57 66 s s X crl-14213 57 67 = = X crl-14213 57 68 $ $ SYM crl-14213 57 69 20 20 NUM crl-14213 57 70 per per ADP crl-14213 57 71 order order NOUN crl-14213 57 72 for for ADP crl-14213 57 73 size size NOUN crl-14213 57 74 1 1 NUM crl-14213 57 75 : : PUNCT crl-14213 57 76 i i PRON crl-14213 57 77 = = NOUN crl-14213 57 78 1 1 NUM crl-14213 57 79 d1 d1 ADV crl-14213 57 80 = = NOUN crl-14213 57 81 1000 1000 NUM crl-14213 57 82 boxes box NOUN crl-14213 57 83 / / SYM crl-14213 57 84 per per ADP crl-14213 57 85 year year NOUN crl-14213 57 86 sl sl INTJ crl-14213 57 87 = = INTJ crl-14213 57 88 $ $ SYM crl-14213 57 89 8 8 NUM crl-14213 57 90 per per ADP crl-14213 57 91 order order NOUN crl-14213 57 92 h1 h1 VERB crl-14213 57 93 = = X crl-14213 57 94 $ $ SYM crl-14213 57 95 1 1 NUM crl-14213 57 96 per per ADP crl-14213 57 97 box box NOUN crl-14213 57 98 per per ADP crl-14213 57 99 year year NOUN crl-14213 57 100 for for ADP crl-14213 57 101 size size NOUN crl-14213 57 102 2 2 NUM crl-14213 57 103 : : PUNCT crl-14213 57 104 i=2 i=2 PROPN crl-14213 57 105 d2 d2 PROPN crl-14213 57 106 = = PROPN crl-14213 57 107 150 150 NUM crl-14213 57 108 boxes box NOUN crl-14213 57 109 per per ADP crl-14213 57 110 year year NOUN crl-14213 57 111 52 52 NUM crl-14213 57 112 = = SYM crl-14213 57 113 $ $ SYM crl-14213 57 114 8 8 NUM crl-14213 57 115 per per ADP crl-14213 57 116 order order NOUN crl-14213 57 117 h2 h2 NOUN crl-14213 57 118 = = PUNCT crl-14213 57 119 $ $ SYM crl-14213 57 120 1.10 1.10 NUM crl-14213 57 121 per per ADP crl-14213 57 122 box box NOUN crl-14213 57 123 per per ADP crl-14213 57 124 year year NOUN crl-14213 57 125 we we PRON crl-14213 57 126 apply apply VERB crl-14213 57 127 the the DET crl-14213 57 128 three three NUM crl-14213 57 129 steps step NOUN crl-14213 57 130 to to ADP crl-14213 57 131 this this DET crl-14213 57 132 problem problem NOUN crl-14213 57 133 as as SCONJ crl-14213 57 134 shown show VERB crl-14213 57 135 in in ADP crl-14213 57 136 figure figure NOUN crl-14213 57 137 1 1 NUM crl-14213 57 138 . . PUNCT crl-14213 58 1 because because SCONJ crl-14213 58 2 ( ( PUNCT crl-14213 58 3 mac(joint mac(joint NOUN crl-14213 58 4 ) ) PUNCT crl-14213 58 5 ) ) PUNCT crl-14213 58 6 is be AUX crl-14213 58 7 lower low ADJ crl-14213 58 8 than than ADP crl-14213 58 9 ( ( PUNCT crl-14213 58 10 mac(eoq mac(eoq X crl-14213 58 11 ) ) PUNCT crl-14213 58 12 ) ) PUNCT crl-14213 58 13 , , PUNCT crl-14213 58 14 the the DET crl-14213 58 15 economic economic ADJ crl-14213 58 16 policy policy NOUN crl-14213 58 17 is be AUX crl-14213 58 18 to to PART crl-14213 58 19 order order VERB crl-14213 58 20 jointly jointly ADV crl-14213 58 21 . . PUNCT crl-14213 59 1 the the DET crl-14213 59 2 orders order NOUN crl-14213 59 3 are be AUX crl-14213 59 4 placed place VERB crl-14213 59 5 at at ADP crl-14213 59 6 intervals interval NOUN crl-14213 59 7 obtained obtain VERB crl-14213 59 8 from from ADP crl-14213 59 9 ( ( PUNCT crl-14213 59 10 9 9 NUM crl-14213 59 11 ) ) PUNCT crl-14213 59 12 . . PUNCT crl-14213 60 1 ( ( PUNCT crl-14213 60 2 see see VERB crl-14213 60 3 figure figure NOUN crl-14213 60 4 2 2 NUM crl-14213 60 5 . . PUNCT crl-14213 60 6 ) ) PUNCT crl-14213 61 1 the the DET crl-14213 61 2 reduction reduction NOUN crl-14213 61 3 in in ADP crl-14213 61 4 cost cost NOUN crl-14213 61 5 as as ADP crl-14213 61 6 a a DET crl-14213 61 7 result result NOUN crl-14213 61 8 of of ADP crl-14213 61 9 ordering order VERB crl-14213 61 10 jointly jointly ADV crl-14213 61 11 ( ( PUNCT crl-14213 61 12 mac(eoq))(macooint mac(eoq))(macooint NOUN crl-14213 61 13 ) ) PUNCT crl-14213 61 14 ) ) PUNCT crl-14213 62 1 332.76 332.76 NUM crl-14213 62 2 - - SYM crl-14213 62 3 289.62 289.62 NUM crl-14213 62 4 $ $ SYM crl-14213 62 5 43.14 43.14 NUM crl-14213 62 6 per per ADP crl-14213 62 7 year year NOUN crl-14213 62 8 the the DET crl-14213 62 9 percentage percentage NOUN crl-14213 62 10 reduction reduction NOUN crl-14213 62 11 in in ADP crl-14213 62 12 cost cost NOUN crl-14213 62 13 100 100 NUM crl-14213 62 14 x x NUM crl-14213 62 15 [ [ X crl-14213 62 16 ( ( PUNCT crl-14213 62 17 mac(eoq))-(macooint mac(eoq))-(macooint PROPN crl-14213 62 18 ) ) PUNCT crl-14213 62 19 ) ) PUNCT crl-14213 62 20 ] ] PUNCT crl-14213 62 21 ( ( PUNCT crl-14213 62 22 mac(eoq mac(eoq NUM crl-14213 62 23 ) ) PUNCT crl-14213 62 24 ) ) PUNCT crl-14213 62 25 100(332.76289.62 100(332.76289.62 NUM crl-14213 62 26 ) ) PUNCT crl-14213 62 27 332.76 332.76 NUM crl-14213 62 28 12.96 12.96 NUM crl-14213 62 29 % % NOUN crl-14213 62 30 concluding concluding NOUN crl-14213 62 31 remarks remark NOUN crl-14213 62 32 as as ADP crl-14213 62 33 a a DET crl-14213 62 34 result result NOUN crl-14213 62 35 of of ADP crl-14213 62 36 ordering order VERB crl-14213 62 37 items item NOUN crl-14213 62 38 from from ADP crl-14213 62 39 a a DET crl-14213 62 40 single single ADJ crl-14213 62 41 supplier supplier NOUN crl-14213 62 42 in in ADP crl-14213 62 43 an an DET crl-14213 62 44 economical economical ADJ crl-14213 62 45 manner manner NOUN crl-14213 62 46 , , PUNCT crl-14213 62 47 significant significant ADJ crl-14213 62 48 cost cost NOUN crl-14213 62 49 savings saving NOUN crl-14213 62 50 can can AUX crl-14213 62 51 be be AUX crl-14213 62 52 achieved achieve VERB crl-14213 62 53 . . PUNCT crl-14213 63 1 the the DET crl-14213 63 2 procedure procedure NOUN crl-14213 63 3 given give VERB crl-14213 63 4 in in ADP crl-14213 63 5 this this DET crl-14213 63 6 paper paper NOUN crl-14213 63 7 can can AUX crl-14213 63 8 help help VERB crl-14213 63 9 in in ADP crl-14213 63 10 achieving achieve VERB crl-14213 63 11 such such ADJ crl-14213 63 12 savings saving NOUN crl-14213 63 13 . . PUNCT crl-14213 64 1 references reference NOUN crl-14213 64 2 1 1 NUM crl-14213 64 3 . . PUNCT crl-14213 64 4 f. f. PROPN crl-14213 64 5 t. t. PROPN crl-14213 64 6 shu shu PROPN crl-14213 64 7 , , PUNCT crl-14213 64 8 " " PUNCT crl-14213 64 9 economic economic ADJ crl-14213 64 10 ordering ordering NOUN crl-14213 64 11 frequency frequency NOUN crl-14213 64 12 for for ADP crl-14213 64 13 two two NUM crl-14213 64 14 items item NOUN crl-14213 64 15 jointly jointly ADV crl-14213 64 16 replenished replenish VERB crl-14213 64 17 , , PUNCT crl-14213 64 18 " " PUNCT crl-14213 64 19 management management NOUN crl-14213 64 20 science science NOUN crl-14213 64 21 10:406 10:406 NUM crl-14213 64 22 - - SYM crl-14213 64 23 10 10 NUM crl-14213 64 24 ( ( PUNCT crl-14213 64 25 1971 1971 NUM crl-14213 64 26 ) ) PUNCT crl-14213 64 27 . . PUNCT crl-14213 65 1 2 2 X crl-14213 65 2 . . PROPN crl-14213 65 3 s. s. PROPN crl-14213 65 4 k. k. PROPN crl-14213 65 5 goyal goyal PROPN crl-14213 65 6 , , PUNCT crl-14213 65 7 " " PUNCT crl-14213 65 8 determination determination NOUN crl-14213 65 9 of of ADP crl-14213 65 10 economic economic ADJ crl-14213 65 11 packaging packaging NOUN crl-14213 65 12 frequency frequency NOUN crl-14213 65 13 for for ADP crl-14213 65 14 items item NOUN crl-14213 65 15 jointly jointly ADV crl-14213 65 16 replenished replenish VERB crl-14213 65 17 , , PUNCT crl-14213 65 18 " " PUNCT crl-14213 65 19 management management NOUN crl-14213 65 20 science science NOUN crl-14213 65 21 20:232 20:232 NUM crl-14213 65 22 - - PUNCT crl-14213 65 23 35 35 NUM crl-14213 65 24 ( ( PUNCT crl-14213 65 25 1973 1973 NUM crl-14213 65 26 ) ) PUNCT crl-14213 65 27 . . PUNCT crl-14213 66 1 3 3 X crl-14213 66 2 . . PROPN crl-14213 66 3 s. s. PROPN crl-14213 66 4 k. k. PROPN crl-14213 66 5 goyal goyal PROPN crl-14213 66 6 , , PUNCT crl-14213 66 7 " " PUNCT crl-14213 66 8 determination determination NOUN crl-14213 66 9 of of ADP crl-14213 66 10 optimum optimum ADJ crl-14213 66 11 packaging packaging NOUN crl-14213 66 12 frequency frequency NOUN crl-14213 66 13 of of ADP crl-14213 66 14 items item NOUN crl-14213 66 15 jointly jointly ADV crl-14213 66 16 replenished replenish VERB crl-14213 66 17 , , PUNCT crl-14213 66 18 " " PUNCT crl-14213 66 19 management management NOUN crl-14213 66 20 science science NOUN crl-14213 66 21 , , PUNCT crl-14213 66 22 21 21 NUM crl-14213 66 23 : : PUNCT crl-14213 66 24 436 436 NUM crl-14213 66 25 - - SYM crl-14213 66 26 43 43 NUM crl-14213 66 27 ( ( PUNCT crl-14213 66 28 1974 1974 NUM crl-14213 66 29 ) ) PUNCT crl-14213 66 30 . . PUNCT crl-14213 67 1 4 4 X crl-14213 67 2 . . X crl-14213 67 3 e. e. PROPN crl-14213 67 4 a a PRON crl-14213 67 5 . . PUNCT crl-14213 67 6 silver silver NOUN crl-14213 67 7 , , PUNCT crl-14213 67 8 " " PUNCT crl-14213 67 9 a a DET crl-14213 67 10 simple simple ADJ crl-14213 67 11 method method NOUN crl-14213 67 12 of of ADP crl-14213 67 13 determining determine VERB crl-14213 67 14 order order NOUN crl-14213 67 15 quantities quantity NOUN crl-14213 67 16 in in ADP crl-14213 67 17 joint joint ADJ crl-14213 67 18 replenishment replenishment NOUN crl-14213 67 19 under under ADP crl-14213 67 20 deterministic deterministic ADJ crl-14213 67 21 demand demand NOUN crl-14213 67 22 , , PUNCT crl-14213 67 23 " " PUNCT crl-14213 67 24 management management NOUN crl-14213 67 25 science science NOUN crl-14213 67 26 12:1351 12:1351 NUM crl-14213 67 27 - - PUNCT crl-14213 67 28 61 61 NUM crl-14213 67 29 ( ( PUNCT crl-14213 67 30 1976 1976 NUM crl-14213 67 31 ) ) PUNCT crl-14213 67 32 . . PUNCT crl-14213 68 1 5 5 X crl-14213 68 2 . . X crl-14213 68 3 m. m. NOUN crl-14213 68 4 kaspi kaspi PROPN crl-14213 68 5 and and CCONJ crl-14213 68 6 m. m. PROPN crl-14213 68 7 j. j. PROPN crl-14213 68 8 rosenblatt rosenblatt PROPN crl-14213 68 9 , , PUNCT crl-14213 68 10 " " PUNCT crl-14213 68 11 an an DET crl-14213 68 12 improvement improvement NOUN crl-14213 68 13 of of ADP crl-14213 68 14 silver silver NOUN crl-14213 68 15 's 's PART crl-14213 68 16 algorithm algorithm NOUN crl-14213 68 17 for for ADP crl-14213 68 18 the the DET crl-14213 68 19 joint joint ADJ crl-14213 68 20 replenishment replenishment NOUN crl-14213 68 21 problem problem NOUN crl-14213 68 22 , , PUNCT crl-14213 68 23 " " PUNCT crl-14213 68 24 lie lie NOUN crl-14213 68 25 ( ( PUNCT crl-14213 68 26 transactions transaction NOUN crl-14213 68 27 ) ) PUNCT crl-14213 68 28 , , PUNCT crl-14213 68 29 14:264 14:264 NUM crl-14213 68 30 - - SYM crl-14213 68 31 67 67 NUM crl-14213 68 32 ( ( PUNCT crl-14213 68 33 1968 1968 NUM crl-14213 68 34 ) ) PUNCT crl-14213 68 35 . . PUNCT crl-14213 69 1 6 6 X crl-14213 69 2 . . X crl-14213 69 3 silver silver NOUN crl-14213 69 4 , , PUNCT crl-14213 69 5 " " PUNCT crl-14213 69 6 a a DET crl-14213 69 7 simple simple ADJ crl-14213 69 8 method method NOUN crl-14213 69 9 .... .... PUNCT crl-14213 69 10 " " PUNCT crl-14213 69 11 swets swet NOUN crl-14213 69 12 ... ... PUNCT crl-14213 69 13 an an DET crl-14213 69 14 attractive attractive ADJ crl-14213 69 15 , , PUNCT crl-14213 69 16 many many ADJ crl-14213 69 17 facetted facet VERB crl-14213 69 18 and and CCONJ crl-14213 69 19 transparent transparent ADJ crl-14213 69 20 subscription subscription NOUN crl-14213 69 21 seivice seivice NOUN crl-14213 69 22 . . PUNCT crl-14213 70 1 we we PRON crl-14213 70 2 would would AUX crl-14213 70 3 be be AUX crl-14213 70 4 pleased pleased ADJ crl-14213 70 5 to to PART crl-14213 70 6 send send VERB crl-14213 70 7 you you PRON crl-14213 70 8 our our PRON crl-14213 70 9 informative informative ADJ crl-14213 70 10 brochure brochure NOUN crl-14213 70 11 as as ADV crl-14213 70 12 well well ADV crl-14213 70 13 as as ADP crl-14213 70 14 detailed detailed ADJ crl-14213 70 15 documentation documentation NOUN crl-14213 70 16 of of ADP crl-14213 70 17 our our PRON crl-14213 70 18 seivices seivice NOUN crl-14213 70 19 . . PUNCT