A Tabu Search Algorithm for the Split Delivery Vehicle Routing Problem

We describe a tabu search algorithm for the vehicle routing problem with split deliveries. At each iteration, a neighbor solution is obtained by removing a customer from a set of routes where it is currently visited and inserting it either into a new route or into an existing route that has enough residual capacity. The algorithm also considers the possibility of inserting a customer into a route without removing it from another route. The insertion of a customer into a route is done by means of the cheapest insertion method. Computational experiments are reported for a set of benchmark problems, and the results are compared with those obtained by the algorithm proposed by Dror and Trudeau.

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

[2]  José-Manuel Belenguer,et al.  A Lower Bound for the Split Delivery Vehicle Routing Problem , 2000, Oper. Res..

[3]  Moshe Dror,et al.  A vehicle routing improvement algorithm comparison of a "greedy" and a matching implementation for inventory routing , 1986, Comput. Oper. Res..

[4]  Moshe Dror,et al.  Vehicle routing with split deliveries , 1994, Discret. Appl. Math..

[5]  Moshe Dror,et al.  Savings by Split Delivery Routing , 1989, Transp. Sci..

[6]  Gerard Sierksma,et al.  Routing helicopters for crew exchanges on off-shore locations , 1998, Ann. Oper. Res..

[7]  Shen Lin Computer solutions of the traveling salesman problem , 1965 .

[8]  M. Grazia Speranza The split delivery vehicle routing problem , 2006 .

[9]  M. Dror,et al.  Split delivery routing , 1990 .

[10]  Moshe Dror,et al.  Split-delivery routeing heuristics in livestock feed distribution , 1997 .

[11]  J. W. Giffin,et al.  The split delivery vehicle scheduling problem with time windows and grid network distances , 1995, Comput. Oper. Res..

[12]  Frederick J. Gilman,et al.  A lower bound on ‖ε’/ε‖ , 1983 .

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

[14]  Maria Grazia Speranza,et al.  Complexity and Reducibility of the Skip Delivery Problem , 2005, Transp. Sci..

[15]  Gilbert Laporte,et al.  A Tabu Search Heuristic for the Vehicle Routing Problem , 1991 .