Abstract
The vehicle routing problem with deliveries and pickups is a challenging extension to the vehicle routing problem that lately attracted growing attention in the literature. This paper investigates the relationship between two versions of this problem, called “mixed” and “simultaneous”. In particular, we wish to know whether a solution algorithm designed for the simultaneous case can solve the mixed case. To this end, we implement a metaheuristic based on reactive tabu search. The results suggest that this approach can yield good results.
Similar content being viewed by others
References
Abdullah, S., Ahmadi, S., Burke, E. K., & Dror, M. (2007a). Investigating Ahuja–Orlin’s large neighbourhood search approach for examination timetabling. OR Spectrum, 29, 351–372.
Abdullah, S., Ahmadi, S., Burke, E. K., Dror, M., & McCollum, B. (2007b). Tabu based large neighbourhood search for the capacitated examination timetabling problem. Journal of the Operational Research Society, 58, 1494–1502.
Ahmadi, S., & Osman, I. H. (2005). Greedy random adaptive memory programming search for the capacitated clustering problem. European Journal of Operational Research, 162, 30–44.
Anily, S., & Mosheiov, G. (1994). The travelling salesman problem with delivery and backhauls. Operations Research Letters, 16, 11–18.
Battiti, R., & Tecchioli, G. (1994). Reactive tabu search. ORSA Journal on Computing, 6, 126–140.
Berbeglia, G., Cordeau, J.-F., Gribkovskaia, I., & Laporte, G. (2007). Static pickup and delivery problems: a classification scheme and survey. TOP, 15, 1–31.
Chen, J.-F., & Wu, T.-H. (2006). Vehicle routing problem with simultaneous deliveries and pickups. Journal of the Operational Research Society, 57, 579–587.
Crispim, J., & Brandão, J. (2005). Metaheuristics applied to mixed and simultaneous extensions of vehicle routing problems with backhauls. Journal of the Operational Research Society, 56, 1296–1302.
Dethloff, J. (2001). Vehicle routing and reverse logistics: the vehicle routing problem with simultaneous delivery and pick-up. OR Spektrum, 23, 79–96.
Dethloff, J. (2002). Relation between vehicle routing problems: an insertion heuristic for the vehicle routing problem with simultaneous delivery and pick-up applied to the vehicle routing problem with backhauls. Journal of the Operational Research Society, 53, 115–118.
Gendreau, M., Laporte, G., & Vigo, D. (1999). Heuristics for the travelling salesman problem with pickup and delivery. Computers & Operations Research, 26, 699–714.
Gillett, B. E., & Miller, L. R. (1974). A heuristic algorithm for the vehicle-dispatch problem. Operations Research, 22, 340–349.
Glover, F., & Laguna, M. (1997). Tabu search. New York: Kluwer.
Goetschalckx, M., & Jacobs-Blecha, C. (1989). The vehicle routing problem with backhauls. European Journal of Operational Research, 42, 39–51.
Halse, K. (1992). Modelling and solving complex vehicle routing problems. PhD thesis, Institute of Mathematical Statistics and Operations Research, Technical University of Denmark, Lyngby.
Montané, F. A. T., & Galvão, R. D. (2006). A tabu search algorithm for the vehicle routing problems with simultaneous pickup and delivery service. Computers and Operations Research, 33, 595–619.
Mosheiov, G. (1994). The travelling salesman problem with pick-up and delivery. European Journal of Operational Research, 79, 299–310.
Mosheiov, G. (1995). The pickup delivery location problem on networks. Networks, 26, 243–251.
Nagy, G. (1996). Heuristic methods for the many-to-many location-routing problem. PhD thesis, School of Mathematics and Statistics, The University of Birmingham, Birmingham.
Nagy, G., & Salhi, S. (2005). Heuristic algorithms for single and multiple depot vehicle routing problems with pickups and deliveries. European Journal of Operational Research, 162, 126–141.
Osman, I. H., & Wassan, N. A. (2002). A reactive tabu search meta-heuristic for the vehicle routing problem with backhauls. Journal of Scheduling, 5, 263–285.
Salhi, S., & Nagy, G. (1999). A cluster insertion heuristic for single and multiple depot vehicle routing problems with backhauling. Journal of the Operational Research Society, 50, 1034–1042.
Toth, P., & Vigo, D. (1997). An exact algorithm for the vehicle routing problem with backhauls. Transportation Science, 31, 372–385.
Toth, P., & Vigo, D. (2002). VRP with backhauls. In P. Toth & D. Vigo (Eds.), The vehicle routing problem (pp. 195–224). Philadelphia: Society for Industrial and Applied Mathematics.
Wade, A. C. (2002). Constructive and ant system heuristics for a class of vehicle routing problems with backhauls. PhD thesis, School of Mathematics and Statistics, The University of Birmingham, Birmingham.
Wade, A. C., & Salhi, S. (2002). An investigation into a new class of vehicle routing problem with backhauls. Omega, 30, 479–487.
Wade, A. C., & Salhi, S. (2003). An ant system algorithm for the mixed vehicle routing problem with backhauls. In M. G. Resende & J. P. de Sousa (Eds.), Metaheuristics: computer decision-making (pp 699–719). New York: Kluwer.
Wassan, N. A. (2006). A reactive tabu search for the vehicle routing problem. Journal of the Operational Research Society, 57, 111–116.
Wassan, N. A. (2007). Reactive tabu adaptive memory programming search for the vehicle routing problem with backhauls. Journal of the Operational Research Society, 58, 1630–1641.
Wassan, N. A., & Osman, I. H. (2002). Tabu search variants for the mix fleet vehicle routing problem. Journal of the Operational Research Society, 53, 768–782.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wassan, N.A., Nagy, G. & Ahmadi, S. A heuristic method for the vehicle routing problem with mixed deliveries and pickups. J Sched 11, 149–161 (2008). https://doi.org/10.1007/s10951-008-0055-y
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10951-008-0055-y