A hybrid tabu search to solve the heterogeneous fixed fleet vehicle routing problem

One of the most significant problems of supply chain management is the distribution of products between locations. The delivery of goods from a warehouse to local customers is a critical aspect of material logistics. The Heterogeneous Fixed Fleet Vehicle Routing Problem (HFFVRP) is a variant of the Vehicle Routing Problem (VRP) that aims to provide service to a specific customer group with minimum cost using a limited number of vehicles. We assume that the number of vehicles is fixed. We must decide how to make the best use of the fixed fleet of vehicles. In this paper we describe a Tabu Search algorithm embedded in the Adaptive Memory (TSAM) procedure to solve the HFFVRP. Computational experiments indicating the performance of the algorithm concerning quality of solution and processing time are reported.

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

[2]  José Brandão,et al.  A deterministic tabu search algorithm for the fleet size and mix vehicle routing problem , 2009, Eur. J. Oper. Res..

[3]  F. Glover.  HEURISTICS FOR INTEGER PROGRAMMING USING SURROGATE CONSTRAINTS , 1977 .

[4]  Christos D. Tarantilis,et al.  A threshold accepting metaheuristic for the heterogeneous fixed fleet vehicle routing problem , 2004, Eur. J. Oper. Res..

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

[6]  J. F. Pierce,et al.  ON THE TRUCK DISPATCHING PROBLEM , 1971 .

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

[8]  Bruce L. Golden,et al.  A record-to-record travel algorithm for solving the heterogeneous fleet vehicle routing problem , 2007, Comput. Oper. Res..

[9]  Gilbert Laporte,et al.  The vehicle routing problem: An overview of exact and approximate algorithms , 1992 .

[10]  Gilbert Laporte,et al.  Computer aided routing CWI tract. 75: M.W.P. Savelsbergh Mathematisch Centrum, Amsterdam, 1992, 134 pages, Dfl.40.00, ISBN 90 6196 412 1 , 1993 .

[11]  Fred W. Glover,et al.  Tabu Search - Part I , 1989, INFORMS J. Comput..

[12]  Dong-wan Tcha,et al.  A column generation approach to the heterogeneous fleet vehicle routing problem , 2007, Comput. Oper. Res..

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

[14]  Fred Glover,et al.  Tabu Search - Part II , 1989, INFORMS J. Comput..

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

[16]  Paolo Toth,et al.  Models, relaxations and exact approaches for the capacitated vehicle routing problem , 2002, Discret. Appl. Math..

[17]  Samuel J. Raff,et al.  Routing and scheduling of vehicles and crews : The state of the art , 1983, Comput. Oper. Res..

[18]  Nicos Christofides,et al.  Distribution management : mathematical modelling and practical analysis , 1971 .

[19]  G. Laporte.  The traveling salesman problem: An overview of exact and approximate algorithms , 1992 .

[20]  George B. Dantzig,et al.  The Truck Dispatching Problem , 1959 .

[21]  Jean-Yves Potvin,et al.  A parallel route building algorithm for the vehicle routing and scheduling problem with time windows , 1993 .

[22]  Éric D. Taillard,et al.  Parallel iterative search methods for vehicle routing problems , 1993, Networks.

[23]  L. Bodin.  ROUTING AND SCHEDULING OF VEHICLES AND CREWS–THE STATE OF THE ART , 1983 .

[24]  Fuh-Hwa Franklin Liu,et al.  A route-neighborhood-based metaheuristic for vehicle routing problem with time windows , 1999, Eur. J. Oper. Res..

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

[26]  Lars Magnus Hvattum,et al.  Adaptive memory search for multidemand multidimensional knapsack problems , 2006, Comput. Oper. Res..

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

[28]  Teodor Gabriel Crainic,et al.  Fleet management and logistics , 1998 .

[29]  James P. Kelly,et al.  The Impact of Metaheuristics on Solving the Vehicle Routing Problem: Algorithms, Problem Sets, and Computational Results , 1998 .