A Memetic Algorithm for the Heterogeneous Fleet Vehicle Routing Problem

Abstract The Heterogeneous Fleet Vehicle Routing Problem is a variant of the classical Vehicle Routing Problem in which customers are served by a heterogeneous fleet of vehicles with various capacities, fixed and variable costs. Due to its complexity, no exact algorithm is known for this problem. This paper describes a genetic algorithm hybridized with two known heuristic methods for this problem. Hybrid genetic algorithms are often referred as memetic algorithms. Computational experiments presenting the performance of the proposed algorithm concerning quality of solution and processing time are reported. On a set of benchmark instances, it produces high-quality solutions, including several new best-known solutions.

[1]  Victor J. Rayward-Smith,et al.  Modern Heuristic Search Methods , 1996 .

[2]  J. Beasley,et al.  A genetic algorithm for the set covering problem , 1996 .

[3]  Mateo Valero,et al.  Parallel computing and transputer applications , 1992 .

[4]  Said Salhi,et al.  Adaptation of some Vehicle Fleet Mix heuristics , 1992 .

[5]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[6]  C. Ribeiro,et al.  Essays and Surveys in Metaheuristics , 2002, Operations Research/Computer Science Interfaces Series.

[7]  Bernd Freisleben,et al.  Fitness landscapes and memetic algorithm design , 1999 .

[8]  Yuh-Jen Cho,et al.  A Gids Metaheuristic Approach to the Fleet Size and Mix Vehicle Routing Problem , 2002 .

[9]  Riccardo Poli,et al.  New ideas in optimization , 1999 .

[10]  Ibrahim H. Osman,et al.  Tabu search variants for the mix fleet vehicle routing problem , 2002, J. Oper. Res. Soc..

[11]  L. D. Whitley,et al.  The Traveling Salesman and Sequence Scheduling : , 1990 .

[12]  Éric D. Taillard,et al.  A heuristic column generation method for the heterogeneous fleet VRP , 1999, RAIRO Oper. Res..

[13]  Martin Desrochers,et al.  A new heuristic for the fleet size and mix vehicle routing problem , 1991, Comput. Oper. Res..

[14]  Said Salhi,et al.  Incorporating vehicle routing into the vehicle fleet composition problem , 1993 .

[15]  Dalessandro Soares Vianna,et al.  A parallel evolutionary algorithm for the vehicle routing problem with heterogeneous fleet , 1998, Future Gener. Comput. Syst..

[16]  S. Salhi,et al.  Local Search Strategies for the Vehicle Fleet Mix Problem , 1996 .

[17]  Bruce L. Golden,et al.  The fleet size and mix vehicle routing problem , 1984, Comput. Oper. Res..

[18]  Michel Gendreau,et al.  A tabu search heuristic for the heterogeneous fleet vehicle routing problem , 1999, Comput. Oper. Res..

[19]  Gilbert Laporte,et al.  New Insertion and Postoptimization Procedures for the Traveling Salesman Problem , 1992, Oper. Res..

[20]  Pablo Moscato A memetic approach for the travelling salesman problem implementation of a computational ecology for , 1992 .