The Vehicle Routing Problem

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In the field of combinatorial optimization problems, the Vehicle Routing Problem (VRP) is one of the most challenging. Defined more than 40 years ago, the problem involves designing the optimal set of routes for fleets of vehicles for the purpose of serving a given set of customers. Interest in VRP is motivated by its practical relevance as well as its considerable difficulty. The Vehicle Routing Problem covers both exact and heuristic methods developed for the VRP and some of its main variants, emphasizing the practical issues common to VRP. The book is composed of three parts containing contributions from well-known experts. The first part covers basic VRP, known more commonly as capacitated VRP. The second part covers three main variants of VRP: with time windows, backhauls, and pickup and delivery. The third part covers issues arising in real-world VRP applications and includes both case studies and references to software packages. This book will be of interest to both researchers and graduate level students in the communities of operations research and mathematical sciences. It focuses on a specific family of problems while offering a complete overview of the effective use of the most important techniques proposed for the solution of hard combinatorial problems. Practitioners will find this book particularly useful. Readers need a basic knowledge of the main methods for the solution of combinatorial optimization problems.

Author(s): Paolo Toth; Daniele Vigo
Series: Monographs on Discrete Mathematics and Applications
Publisher: SIAM
Year: 2001

Language: English
Pages: 386
Tags: Математика;Методы оптимизации;

The Vehicle Routing Problem......Page 2
SIAM Monographs on Discrete Mathematics and Applications......Page 3
ISBN 0-89871-579-2......Page 5
List of Contributors......Page 6
Contents......Page 10
Preface......Page 18
1 An Overview of Vehicle Routing Problems......Page 20
Part I Capacitated Vehicle Routing Problem......Page 46
2 Branch-and-Bound Algorithms for the Capacitated VRP......Page 48
3 Branch-and-Cut Algorithms for the Capacitated VRP......Page 72
4 Set-Covering-Based Algorithms for the Capacitated VRP......Page 104
5 Classical Heuristics for the Capacitated VRP......Page 128
6 Metaheuristics for the Capacitated VRP......Page 148
Part II Important Variants of the Vehicle Routing Problem......Page 174
7 VRP with Time Windows......Page 176
8 VRP with Backhauls......Page 214
9 VRP with Pickup and Delivery......Page 244
Part III Applications and Case Studies......Page 262
10 Routing Vehicles in the Real World: Applications in the Solid Waste, Beverage, Food, Dairy, and Newspaper Industries......Page 264
11 Capacitated Arc Routing Problem with Vehicle-Site Dependencies: The Philadelphia Experience......Page 306
12 Inventory Routing in Practice......Page 328
13 Routing Under Uncertainty: An Application in the Scheduling of Field Service Engineers......Page 350
14 Evolution of Microcomputer-Based Vehicle Routing Software: Case Studies in the United States......Page 372
Index......Page 382