A New Multi-objective Competitive Open Vehicle Routing Problem Solved by Particle Swarm Optimization
This paper presents a new variant of an open vehicle routing problem (OVRP), in which competition exists between distributors. In the OVRP with competitive time windows (OVRPCTW), the reaching time to customers affects the sales amount. Therefore, distributors intend to service customers earlier than rivals, to obtain the maximum sales. Moreover, a part of a driver’s benefit is related to the amount of sales; thus, the balance of goods carried in each vehicle is important in view of the limited vehicle capacities. In this paper, a new, multi-objective mathematical model of the homogeneous and competitive OVRP is presented, to minimize the travel cost of routes and to maximize the obtained sales while concurrently balancing the goods distributed among vehicles. This model is solved by the use of a multi-objective particle swarm optimization (MOPSO) algorithm, and the related results are compared with the results of NSGA-II, which is a well-known multi-objective evolutionary algorithm. A comparison of our results with three performance metrics confirms that the proposed MOPSO is an efficient algorithm for solving the competitive OVRP with a reasonable computational time and cost. Copyright Springer Science+Business Media, LLC 2012
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Michael Bell, 2006. "Mixed Route Strategies for the Risk-Averse Shipment of Hazardous Materials," Networks and Spatial Economics, Springer, vol. 6(3), pages 253-265, September.
- Qureshi, A.G. & Taniguchi, E. & Yamada, T., 2009. "An exact solution approach for vehicle routing and scheduling problems with soft time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(6), pages 960-977, November.
- Jozefowiez, Nicolas & Semet, Frédéric & Talbi, El-Ghazali, 2009. "An evolutionary algorithm for the vehicle routing problem with route balancing," European Journal of Operational Research, Elsevier, vol. 195(3), pages 761-769, June.
- Brandao, Jose, 2004. "A tabu search algorithm for the open vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 157(3), pages 552-564, September.
When requesting a correction, please mention this item's handle: RePEc:kap:netspa:v:12:y:2012:i:4:p:609-633. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn)or (Christopher F. Baum)
If references are entirely missing, you can add them using this form.