Relaxations and exact solution of the variable sized bin packing problem

عنوان Relaxations and exact solution of the variable sized bin packing problem
نویسنده Haouari, Mohamed, Serairi, M.
تاریخ انتشار: 2011-03
محل انتشار - Springer Science+Business Media
موضوع Bin packing problem, Lower bounds, Branch-and-bound
نوع دوره ای
زبان انگلیسی
دیجیتال بله
نسخه خطی خیر
کتابخانه: دانشگاه اوزیغین
شناسه دارایی کتابخانه 0926-6003
شماره ثبت 782f3d01-4f12-4577-9752-9a6ec007d126
محل کتابخانه Industrial Engineering
تاریخ 2011-03
یادداشت‌ها Due to copyright restrictions, the access to the full text of this article is only available via subscription.
متن نمونه We address a generalization of the classical one-dimensional bin packing problem with unequal bin sizes and costs. We investigate lower bounds for this problem as well as exact algorithms. The main contribution of this paper is to show that embedding a tight network flow-based lower bound, dominance rules, as well as an effective knapsack-based heuristic in a branch-and-bound algorithm yields very good performance. In addition, we show that the particular case with all weight items larger than a third the largest bin capacity can be restated and solved in polynomial-time as a maximum-weight matching problem in a nonbipartite graph. We report the results of extensive computational experiments that provide evidence that large randomly generated instances are optimally solved within moderate CPU times.
DOI 10.1007/s10589-009-9276-z
Cilt 48
مشاهده در منبع دانشگاه اوزیغین دانشگاه اوزیغین - موتور جستجوی نسخه های خطی عثمانی
دانشگاه اوزیغین - موتور جستجوی نسخه های خطی عثمانی دانشگاه اوزیغین

Relaxations and exact solution of the variable sized bin packing problem

نویسنده Haouari, Mohamed, Serairi, M.
تاریخ انتشار 2011-03
محل انتشار - Springer Science+Business Media
موضوع Bin packing problem, Lower bounds, Branch-and-bound
نوع دوره ای
زبان انگلیسی
دیجیتال بله
نسخه خطی خیر
کتابخانه دانشگاه اوزیغین
شناسه دارایی کتابخانه 0926-6003
شماره ثبت 782f3d01-4f12-4577-9752-9a6ec007d126
محل کتابخانه Industrial Engineering
تاریخ 2011-03
یادداشت‌ها Due to copyright restrictions, the access to the full text of this article is only available via subscription.
متن نمونه We address a generalization of the classical one-dimensional bin packing problem with unequal bin sizes and costs. We investigate lower bounds for this problem as well as exact algorithms. The main contribution of this paper is to show that embedding a tight network flow-based lower bound, dominance rules, as well as an effective knapsack-based heuristic in a branch-and-bound algorithm yields very good performance. In addition, we show that the particular case with all weight items larger than a third the largest bin capacity can be restated and solved in polynomial-time as a maximum-weight matching problem in a nonbipartite graph. We report the results of extensive computational experiments that provide evidence that large randomly generated instances are optimally solved within moderate CPU times.
DOI 10.1007/s10589-009-9276-z
Cilt 48
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