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Matheuristics pp 253-266 | Cite as

A Hybrid Tabu Search for the m-Peripatetic Vehicle Routing Problem

  • Sandra Ulrich NgueveuEmail author
  • Christian Prins
  • Roberto Wolfler Calvo
Chapter
Part of the Annals of Information Systems book series (AOIS, volume 10)

Abstract

This chapter presents a hybridization of a perfect b-matching within a tabu search framework for the m-Peripatetic Vehicle Routing Problem (m-PVRP). The m-PVRP models, for example, money transports and cash machines supply where, for security reasons, no path can be used more than once during m periods and the amount of money allowed per vehicle is limited. It consists in finding a set of routes of minimum total cost over m periods from an undirected graph such that each customer is visited exactly once per period and each edge can be used at most once during the m periods. Each route starts and finishes at the depot with a total demand not greater than the vehicle capacity. The aim is to minimize the total cost of the routes. The m-PVRP can be considered as a generalization of two well-known NP-hard problems: the vehicle routing problem (VRP or 1-PVRP) and the m-Peripatetic Salesman Problem (m-PSP). Computational results on classical VRP instances and TSPLIP instances show that the hybrid algorithm obtained improves the tabu search, not only on the m-PVRP in general, but also on the VRP and the m-PSP.

Keywords

Tabu Search Travel Salesman Problem Tabu Search Algorithm Vehicle Capacity Minimum Total Cost 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Sandra Ulrich Ngueveu
    • 1
    Email author
  • Christian Prins
    • 1
  • Roberto Wolfler Calvo
    • 1
  1. 1.Institut Charles Delaunay – LOSI, Universitè de Technologie de Troyes (UTT)TroyesFrance

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