dronesbranch-price-and-cutThe truck and drone-based cooperative model of delivery can improve the efficiency of last mile delivery, and has thus increasingly attracted attention in academia and from practitioners. In this study, we examine a vehicle routing problem and apply a cooperative form of ...
When the relaxation in each node of a branch-and- bound tree is solved by column generation, one speaks of branch-and-price. Optionally, cutting planes can be added in order to strengthen the relaxation, and this is called branch- price-and-cut. We introduce the common concepts of ...
we propose a branch-price-and-cut algorithm that employs and tailors stabilization techniques that have been successfully applied to several cutting and packing problems. More precisely, we make use of (deep) dual-optimal inequalities which are particularly suited to reduce the negative effects caused...
A Unified Branch-Price-and-Cut Algorithm for Multicompartment Pickup and Delivery Problems In this paper, we study the pickup and delivery problem with time windows and multiple compartments (PDPTWMC). The PDPTWMC generalizes the pickup and deliv... M Aerts-Veenstra,M Cherkesly,T Gschwind -...
We propose a mixed-integer programming model and a branch-price-and-cut-based exact algorithm to address this problem. To reduce the computation time, we design several acceleration strategies, including a combination of dynamic programming and calculus-based approximation for the pricing problem, and...
分支定界方法(branch and cut,branch and price的基础) 目录 1.基础版的分支定界算法(假设是min问题) 2.分支定界算法的步骤及其注意事项 2.1 具体的分支定界方法的步骤: 2.2 迭代过程,也就是分支定界方法的核心操作: 2.3 分支策略: 2.4 求整数可行解
Branch-price-and-cut algorithmWe consider the Commodity constrained Split Delivery Vehicle Routing Problem (C-SDVRP), a routing problem where customers may request multiple commodities. The vehicles can deliver any set of commodities and multiple visits to a customer are allowed only if the customer...
因为branch and price算法就是branch and bound和column generation的结合体。 2 应用背景 branch and price算法就是branch and bound和column generation的结合体。具体是怎么结合的呢?先看一张BP的算法流程图,相信大家会清晰很多: 3 具体流程 我们知道branch and bound求解整数规划的过程,如果不知道看看下面这张图回...
The results indicate that the proposed approach delivers the best overall performance when compared with a similar branch-price-and-cut method which is based on the simplex algorithm. 展开 关键词: Branch-price-and-cut Column generation Primal-dual interior point algorithm Vehicle routing problem ...
In this work, we have presented a new branch-price-and-cut (BPC) algorithm for the solution of different variants of the capacitated multiple vehicle traveling purchaser problem (MVTPP) with unitary demand. The main novelty is the way in which the column-generation subproblems are solved by a...