Evolving schedule graphs for the vehicle routing problem with time windows

The vehicle routing problem with time windows (VRPTW) is a very important problem in the transportation industry since it occurs frequently in everyday practice, e.g. in scheduling bank deliveries. Many heuristic algorithms have been proposed for this NP-hard problem. This paper reports the successful application of GrEVeRT (Graph-based Evolutionary algorithm for the Vehicle Routing Problem with Time windows), an evolutionary algorithm based on a directed acyclic graph model. On well-known benchmark instances of the VRPTW, we obtain better results than those reported by other researchers using genetic algorithms.

[1]  Michel Gendreau,et al.  A PARALLEL TABU SEARCH HEURISTIC FOR THE VEHICLE ROUTING PROBLEM WITH TIME WINDOWS , 1997 .

[2]  Jacques Desrosiers,et al.  Survey Paper - Time Window Constrained Routing and Scheduling Problems , 1988, Transp. Sci..

[3]  Jacques Desrosiers,et al.  Time Window Constrained Routing and Scheduling Problems: a Survey , 1987 .

[4]  Paolo Toth,et al.  The Vehicle Routing Problem , 2002, SIAM monographs on discrete mathematics and applications.

[5]  Nicos Christofides,et al.  The vehicle routing problem , 1976, Revue française d'automatique, informatique, recherche opérationnelle. Recherche opérationnelle.

[6]  Michel Gendreau,et al.  Vehicle Routeing with Multiple Use of Vehicles , 1996 .

[7]  Marius M. Solomon,et al.  Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints , 1987, Oper. Res..

[8]  Jean Berger,et al.  A Hybrid Genetic Algorithm for the Vehicle Routing Problem with Time Windows , 1998, Canadian Conference on AI.

[9]  James P. Kelly,et al.  A Network Flow-Based Tabu Search Heuristic for the Vehicle Routing Problem , 1996, Transp. Sci..

[10]  Yves Rochat,et al.  Probabilistic diversification and intensification in local search for vehicle routing , 1995, J. Heuristics.

[11]  James P. Kelly,et al.  A Set-Partitioning-Based Heuristic for the Vehicle Routing Problem , 1999, INFORMS J. Comput..

[12]  Sam R. Thangiah,et al.  Vehicle Routing with Time Windows using Genetic Algorithms , 1997 .