2024 Elsevier LtdThis study introduces an arc-flow formulation and the first branch-and-price-and-cut (BPC) algorithm designed to solve the bin-packing problem with fragile objects (BPPFO). This variant of the
branch-and-price-and-cut algorithm分支与价格与切割算法branch-and-price-and-cut algorithm分支与价格与切割算法
branch-and-price-and-cutIn this article, we propose a branch‐and‐price‐and‐cut (BPC) algorithm to exactly solve the manpower routing problem with synchronization constraints (MRPSC). Compared with the classical vehicle routing problems (VRPs), the defining characteristic of the MRPSC is ...
For many VRPs, the pricing problem of a branch-price-and-cut algorithm is highly complex and, to alleviate this difficulty, a relaxed pricing problem is used. In this paper, we introduce a new paradigm, called selective pricing, that can be applied in this context to improve the solution ...
GONDZIO, Using the primal-dual interior point algorithm within the branch-price-and-cut method, Computers & Operations Research, 40 (2013), pp. 2026 - 2036.Pedro Munari and Jacek Gondzio. Using the primal-dual interior point algorithm within the branch-price-and-cut method. Computers and ...
general-purpose cutting planes; a cutting plane algorithm for CSP was tested in [28, 2]. A pure cutting plane approach appeared almost equally effective to branch-and-price for CSP with a single stock length [2]. In 2CP, the objective function has its values among integer combinations ...
今天发现了一个VRP领域的大牛做的PPT,关于Branch and price and cut算法求解传统VRP问题以及VRPTW的。 详细推文可参考公众号往期的介绍。 PPT有92页之多,详细介绍了VRP问题的建模以及算法的各个知识点。 值得分享,大家可以收藏一下,说不定以后能用得上呢。哈哈哈哈! 获取方式在后台回复【BPCVRP】不包括【】即可下...
To solve this problem, we propose a exact branch-and-price-and-cut algorithm, where the pricing subproblem is a resource-constrained elementary least-cost path problem. We first prove that at least an optimal solution to the pricing subproblem is associated with an extreme collection pattern, ...
Letchford, A.N., Reinelt, G., Theis, D.O.: A faster exact separation algorithm for blossom inequalities. In: Integer Programming and Combinatorial Optimization, pp. 196–205. Springer, Berlin (2004) Lucena, A., Resende, M.: Strong lower bounds for the prize collecting steiner problem in...
To solve this problem, we propose a exact branch-and-price-and-cut algorithm, where the pricing subproblem is a resource-constrained elementary least-cost path problem. We first prove that at least an optimal solution to the pricing subproblem is associated with an extreme collection pattern, ...