A heuristic for vehicle fleet mix problem using tabu search and set partitioning

The vehicle fleet mix problem is a special case of the vehicle routing problem where customers are served by a heterogeneous fleet of vehicles with various capacities. An efficient heuristic for determining the composition of a vehicle fleet and travelling routes was developed using tabu search and by solving set partitioning problems. Two kinds of problems have appeared in the literature, concerning fixed cost and variable cost, and these were tested for evaluation. Initial solutions were found using the modified sweeping method. Whenever a new solution in an iteration of the tabu search was obtained, optimal vehicle allocation was performed for the set of routes, which are constructed from the current solution by making a giant tour. Experiments were performed for the benchmark problems that appeared in the literature and new best-known solutions were found.

[1]  F.-H. Liu,et al.  The fleet size and mix vehicle routing problem with time windows , 1999, J. Oper. Res. Soc..

[2]  Alan Mercer,et al.  A tabu search algorithm for the multi-trip vehicle routing and scheduling problem , 1997, Eur. J. Oper. Res..

[3]  Jaime Cerdá,et al.  A cluster-based optimization approach for the multi-depot heterogeneous fleet vehicle routing problem with time windows , 2007, Eur. J. Oper. Res..

[4]  Gilbert Laporte,et al.  Solving a vehicle-routing problem arising in soft-drink distribution , 2006, J. Oper. Res. Soc..

[5]  Christos D. Tarantilis,et al.  A meta-heuristic algorithm for the efficient distribution of perishable foods , 2001 .

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

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

[8]  M. Balinski,et al.  On an Integer Program for a Delivery Problem , 1964 .

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

[10]  Józef Grabowski,et al.  Some local search algorithms for no-wait flow-shop problem with makespan criterion , 2005, Comput. Oper. Res..

[11]  Jacques Renaud,et al.  Synchronized routing of seasonal products through a production/distribution network , 2006, Central Eur. J. Oper. Res..

[12]  Christian Prins,et al.  Efficient Heuristics for the Heterogeneous Fleet Multitrip VRP with Application to a Large-Scale Real Case , 2002, J. Math. Model. Algorithms.

[13]  Bruce L. Golden,et al.  A comparison of techniques for solving the fleet size and mix vehicle routing problem , 1984 .

[14]  R. Tavakkoli-Moghaddam,et al.  A hybrid simulated annealing for capacitated vehicle routing problems with the independent route length , 2006, Appl. Math. Comput..

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

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

[17]  Billy E. Gillett,et al.  A Heuristic Algorithm for the Vehicle-Dispatch Problem , 1974, Oper. Res..

[18]  Marco César Goldbarg,et al.  A Memetic Algorithm for the Heterogeneous Fleet Vehicle Routing Problem , 2004, Electron. Notes Discret. Math..

[19]  Gerrit K. Janssens,et al.  New heuristics for the Fleet Size and Mix Vehicle Routing Problem with Time Windows , 2002, J. Oper. Res. Soc..

[20]  Christos D. Tarantilis,et al.  A flexible adaptive memory-based algorithm for real-life transportation operations: Two case studies from dairy and construction sector , 2007, Eur. J. Oper. Res..

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

[22]  Herminia I. Calvete,et al.  A goal programming approach to vehicle routing problems with soft time windows , 2007, Eur. J. Oper. Res..

[23]  Bruce L. Golden,et al.  A new heuristic for determining fleet size and composition , 1986 .

[24]  Stefan Irnich,et al.  A multi-depot pickup and delivery problem with a single hub and heterogeneous vehicles , 2000, Eur. J. Oper. Res..