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To solve the FTRLP to optimality, we propose a branch-and-Benders-cut (BBC) approach. During the exploration of the branch-and-bound search tree, the algorithm adds combinatorial Benders cuts. Computational results are provided and demonstrate effectiveness of the BBC approach....
A branch-and-cut approach for Benders’ decomposition has been implemented within the constraint integer programming solver SCIP using a plugin-based design to allow for a wide variety of extensions and customisations to the algorithm. The effectiveness of the Benders’ decomposition algorithm and ...
Branch-and-Cut 是求解整数规划或混合整数规划问题最常用的算法之一。通常,把全部可行解空间反复地分割为越来越小的子集,称为分支;并且对每个子集内的解集计算一个目标下界(对于最小值问题),称为定界;在每次分枝后,凡是界限超出已知可行解集目标值的子集不再进一步考虑,称为剪枝。这就是Branch-and-Cut的主要思路。
We study a generalization of the well-known traveling salesman problem (TSP) where each customer provides or requires a given non-zero amount of product, and the vehicle in a depot has a given capa...关键词: Benders' cuts branch and cut pickup and delivery traveling salesman problem DOI...
The Steiner tree problem with revenues, budget and hop constraints is a variant of the Steiner tree problem with two main modifications: (a) besides the co... AM Costa,Jean-Francois Cordeau,G Laporte - 《Networks》 被引量: 104发表: 2009年 Benders Decomposition for the Hop-Constrained Surviv...
ABranch-and-CutAlgorithm forthePreemptiveSwapping Problem CharlesBordenave MichelGendreau GilbertLaporte June2008 CIRRELT-2008-23 ABranch-and-CutAlgorithmforthePreemptive SwappingProblem CharlesBordenave 1,2,* ,MichelGendreau 1,2 ,GilbertLaporte
Côté, Haouari, Iori (2021): Combinatorial Benders Decomposition for the Two-Dimensional Bin Packing Problem. INFORMS Journal on Computing, with components fromCôté, J. F., & Iori, M. (2018). The meet-in-the-middle principle for cutting and packing problems. INFORMS Journal on Computing...
Finally, we compare the branch-and-Benders-cut approach to a straight-forward branch-and-bound implementation based on the deterministic equivalent formulation.doi:10.1007/s00291-020-00616-7Sophie N. ParraghFabien TricoireWalter J. GutjahrOR Spectrum...
Lagrangian cuts can be added to a Benders reformulation, and are derived from solving single scenario integer programming subproble... R Chen,J Luedtke 被引量: 0发表: 2021年 Algorithms and computation : 21st international symposium, ISAAC 2010, Jeju Island, Korea, December 15-17, 2010 : ...