Transportation Science
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TRANSPORTATION SCIENCE
Vol. 42, No. 1, February 2008, pp. 22-31
DOI: 10.1287/trsc.1070.0204
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An Optimization-Based Heuristic for the Split Delivery Vehicle Routing Problem

Claudia Archetti, M. Grazia Speranza, Martin W. P. Savelsbergh

Department of Quantitative Methods, University of Brescia, 25122 Brescia, Italy
Department of Quantitative Methods, University of Brescia, 25122 Brescia, Italy
School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332

archetti{at}eco.unibs.it
speranza{at}eco.unibs.it
mwps{at}isye.gatech.edu

The split delivery vehicle routing problem is concerned with serving the demand of a set of customers with a fleet of capacitated vehicles at minimum cost. Contrary to what is assumed in the classical vehicle routing problem, a customer can be served by more than one vehicle, if convenient. We present a solution approach that integrates heuristic search with optimization by using an integer program to explore promising parts of the search space identified by a tabu search heuristic. Computational results show that the method improves the solution of the tabu search in all but one instance of a large test set.

Key Words: vehicle routing; split delivery; tabu search; integer programming
History: Received: December 2005; revised: January 2007; accepted: April 2007.




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