Path relinking for the vertex separator problem Path relinking for the vertex separator problem Submitted by Jin-Kao Hao on Sun, 06/04/2017 - 09:49 Titre Path relinking for the vertex separator problem Type de publication Article de revue Auteur Ma, Fuda [1], Wang, Yang [2], Hao, Jin-Kao [3] Editeur Elsevier Type Article scientifique dans une revue à comité de lecture Année 2017 Langue Anglais Date 1er Oct. 2017 Pagination 332–343 Volume 82 Titre de la revue Expert Systems with Applications ISSN 09574174 Mots-clés graph partitioning [4], Path relinking [5], Population-based heuristics [6], Vertexseparator [7] Résumé en anglais This paper presents the first population-based path relinking algorithm for solving the NP-hard vertex separator problem in graphs. The proposed algorithm employs a dedicated relinking procedure to generate intermediate solutions between an initiating solution and a guiding solution taken from a reference set of elite solutions (population) and uses a fast tabu search procedure to improve some selected intermediate solutions. Special care is taken to ensure the diversity of the reference set. Dedicated data structures based on bucket sorting are employed to ensure a high computational efficiency. The proposed algorithm is assessed on four sets of 365 benchmark instances with up to 20,000 vertices, and shows highly comparative results compared to the state-of-the-art methods in the literature. Specifically, we report improved best solutions (new upper bounds) for 67 instances which can serve as reference values for assessment of other algorithms for the problem. URL de la notice http://okina.univ-angers.fr/publications/ua15972 [8] DOI 10.1016/j.eswa.2017.03.064 [9] Lien vers le document http://www.sciencedirect.com/science/article/pii/S0957417417302270 [10] Titre abrégé Expert Systems with Applications Liens [1] http://okina.univ-angers.fr/publications?f%5Bauthor%5D=25615 [2] http://okina.univ-angers.fr/publications?f%5Bauthor%5D=26865 [3] http://okina.univ-angers.fr/jinkao.hao/publications [4] http://okina.univ-angers.fr/publications?f%5Bkeyword%5D=8649 [5] http://okina.univ-angers.fr/publications?f%5Bkeyword%5D=8833 http://okina.univ-angers.fr/publications?f%5Bauthor%5D=25615 http://okina.univ-angers.fr/publications?f%5Bauthor%5D=26865 http://okina.univ-angers.fr/jinkao.hao/publications http://okina.univ-angers.fr/publications?f%5Bkeyword%5D=8649 http://okina.univ-angers.fr/publications?f%5Bkeyword%5D=8833 http://okina.univ-angers.fr/publications?f%5Bkeyword%5D=23000 http://okina.univ-angers.fr/publications?f%5Bkeyword%5D=22999 http://okina.univ-angers.fr/publications?f%5Bkeyword%5D=22999 http://okina.univ-angers.fr/publications/ua15972 http://dx.doi.org/10.1016/j.eswa.2017.03.064 http://www.sciencedirect.com/science/article/pii/S0957417417302270 [6] http://okina.univ-angers.fr/publications?f%5Bkeyword%5D=23000 [7] http://okina.univ-angers.fr/publications?f%5Bkeyword%5D=22999 [8] http://okina.univ-angers.fr/publications/ua15972 [9] http://dx.doi.org/10.1016/j.eswa.2017.03.064 [10] http://www.sciencedirect.com/science/article/pii/S0957417417302270 Publié sur Okina (http://okina.univ-angers.fr) http://okina.univ-angers.fr