Efficient Neighborhood Search for the Probabilistic Multi-Vehicle Pickup and Delivery Problem

This paper deals with the probabilistic multi-vehicle pickup and delivery problem. We develop an efficient neighborhood evaluation procedure which allows to reduce the computational complexity by two orders of magnitude with respect to a straightforward approach. The numerical experiments indicate that, if incorporated in a local search strategy, our neighborhood evaluation technique, provides very good results in terms of computation time reduction and equity of the workload distribution among the available vehicles.

[1]  K. Ruland,et al.  The pickup and delivery problem: Faces and branch-and-cut algorithm , 1997 .

[2]  John R. Birge,et al.  Introduction to Stochastic Programming , 1997 .

[3]  P. Healy,et al.  A new extension of local search applied to the Dial-A-Ride Problem , 1995 .

[4]  Martin W. P. Savelsbergh,et al.  The General Pickup and Delivery Problem , 1995, Transp. Sci..

[5]  Gilbert Laporte,et al.  An adaptive memory heuristic for a class of vehicle routing problems with minmax objective , 1997, Comput. Oper. Res..

[6]  Jacques Renaud,et al.  A heuristic for the pickup and delivery traveling salesman problem , 2000, Comput. Oper. Res..

[7]  Michel Gendreau,et al.  The m-Traveling Salesman Problem with Minmax Objective , 1995, Transp. Sci..

[8]  Patrick Jaillet,et al.  A Priori Solution of a Traveling Salesman Problem in Which a Random Subset of the Customers Are Visited , 1988, Oper. Res..

[9]  Gilbert Laporte,et al.  STOCHASTIC VEHICLE ROUTING. , 1996 .

[10]  Gilbert Laporte,et al.  A Tabu Search Heuristic for the Static Multi-Vehicle Dial-a-Ride Problem , 2002 .

[11]  Jason D. Papastavrou,et al.  A stochastic and dynamic model for the single-vehicle pick-up and delivery problem , 1999, Eur. J. Oper. Res..

[12]  M. Savelsbergh An efficient implementation of local search algorithms for constrained routing problems , 1990 .

[13]  Arthur V. Hill,et al.  An algorithm for the traveling salesman problem with pickup and delivery customers , 1985 .

[14]  Roberto Musmanno,et al.  Efficient neighborhood search for the Probabilistic Pickup and Delivery Travelling Salesman Problem , 2005 .

[15]  Gilbert Laporte,et al.  A Priori Optimization of the Probabilistic Traveling Salesman Problem , 1994, Oper. Res..

[16]  Gilbert Laporte,et al.  Perturbation heuristics for the pickup and delivery traveling salesman problem , 2002, Comput. Oper. Res..