Abstract
Capacitated vehicle routing problem (CVRP) is one of the most well-known and well-studied scheduling problems in operation research and logistics. However, it is quite difficult to achieve an optimal solution with the traditional optimization methods owing to the high computational complexity. The paper focuses on developing a hybrid optimization algorithm by incorporating the extremal optimization into a scatter search conceptual framework to solve the CVRP. The proposed algorithm is applied to a set of benchmark problems and the performance of the algorithm is evaluated by comparing the obtained results with the results published in the literature. Comparing results indicate that this new method is an effective and competitive approach for the capacitated vehicle routing problem.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Dantzig, G.B., Ramser, R.H.: The Truck Dispatching Problem. Management Science 10, 80–91 (1959)
Christofides, N., Mignozzi, A., Toth, P.: Exact Algorithms for the Vehicle Routing Problem Based on Spanning Tree and Shortest Path Relaxations. Math. Pto. 20, 255–282 (1981)
Osman, I.H.: Meta-strategy Simulated Annealing and Tabu Search Algorithms for the Vehicle Routing Problem. Annals of Operations Research 41, 421–451 (1993)
Brandao, J., Eglese, R.: A Deterministic Tabu Search Algorithm for the Capacitated Arc Routing Problem. Computers & Operations Research 35, 1112–1126 (2008)
Berger, J., Barkaoui, M.: A Hybrid Genetic Algorithm for the Capacitated Vehicle Routing Problem. Journal of Operation Research Society 54, 1254–1262 (2003)
Mazzeo, S., Loiseau, I.: An Ant Colony Algorithm for the Capacitated Vehicle Routing. Electronic Notes in Discrete Mathematics 18, 181–186 (2004)
Wang, Z.Z.: A Hybrid Optimization Algorithm Solving Vehicle Routing Problems. Operations Research and Management Science 13, 48–52 (2004)
Chen, A.L., Yang, G.K., Wu, Z.M.: Hybrid Discrete Particle Swarm Optimization Algorithm for Capacitated Vehicle Routing Problem. Journal of Zhejiang University Science A 7, 607–614 (2006)
Glover, F.: Scatter Search and Path Relinking. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 297–316. McGraw-Hill, New York (1999)
Noorul, A., Saravanan, M.: A Scatter Search Approach for General Flowshop Scheduling Problem. International Journal of Advanced Manufacturing Technology 31, 731–736 (2007)
Bak, P., Kan, C.: Self-organized Criticality. Scientific American 264, 26–33 (1991)
Boettcher, S.: Extremal Optimization: Heuristics via Coevolutionary Avalanches. Computing in Science Engineering 2, 75–82 (2000)
Boettcher, S., Percus, A.G.: Optimization with Extremal Dynamics. Complexity 8, 57–62 (2003)
Chen, Y.W., Lu, Y.Z., Chen, P.: Optimization with Extremal Dynamics for the Traveling Salesman Problem. Physica A: Statistical Mechanics and its Applications 385, 115–123 (2007)
Helsgaun, K.: An Effective Implementation of the Lin-kernighan Traveling Salesman Heuristic. European Journal of Operational Research 126, 106–130 (2000)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sun, K., Yang, GK., Chen, YW. (2008). Hybrid Scatter Search with Extremal Optimization for Solving the Capacitated Vehicle Routing Problem. In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. ICIC 2008. Lecture Notes in Computer Science(), vol 5227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85984-0_31
Download citation
DOI: https://doi.org/10.1007/978-3-540-85984-0_31
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85983-3
Online ISBN: 978-3-540-85984-0
eBook Packages: Computer ScienceComputer Science (R0)