A branch and price approach for the Split Pickup and Split Delivery VRP

Q2 Mathematics

Electronic Notes in Discrete Mathematics Pub Date : 2018-08-01 DOI:10.1016/j.endm.2018.07.025

Marco Casazza , Alberto Ceselli , Roberto Wolfler Calvo

引用次数: 11

Abstract

In this paper we address a Pickup and Delivery Vehicle Routing Problem where the demands of both pickup and delivery nodes can be split between several vehicles. We investigate a new formulation where the route of each vehicle is decomposed into a sequence of simpler substructures called clusters, mitigating the combinatorial explosion of feasible solutions. We implement a branch-and-price algorithm exploiting column generation procedures that dynamically generates clusters to obtain improved dual bounds, and ad hoc branching strategies to achieve integrality.

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拆分取货和拆分交付VRP的分支和价格方法

在本文中，我们解决了一个取货和送货车辆路由问题，其中取货和送货节点的需求可以在几辆车辆之间进行分割。我们研究了一种新的公式，其中每辆车的路线被分解成一系列更简单的子结构，称为簇，减轻了可行解的组合爆炸。我们实现了一个分支和价格算法，利用动态生成集群的列生成过程来获得改进的对偶边界，并利用特别分支策略来实现完整性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

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