Journal of Zhejiang University-SCIENCE A

, Volume 7, Issue 4, pp 607–614

Hybrid discrete particle swarm optimization algorithm for capacitated vehicle routing problem


  • Chen Ai-ling 
    • Department of AutomationShanghai Jiao Tong University
  • Yang Gen-ke 
    • Department of AutomationShanghai Jiao Tong University
  • Wu Zhi-ming 
    • Department of AutomationShanghai Jiao Tong University

DOI: 10.1631/jzus.2006.A0607

Cite this article as:
Chen, A., Yang, G. & Wu, Z. J. Zhejiang Univ. - Sci. A (2006) 7: 607. doi:10.1631/jzus.2006.A0607


Capacitated vehicle routing problem (CVRP) is an NP-hard problem. For large-scale problems, it is quite difficult to achieve an optimal solution with traditional optimization methods due to the high computational complexity. A new hybrid approximation algorithm is developed in this work to solve the problem. In the hybrid algorithm, discrete particle swarm optimization (DPSO) combines global search and local search to search for the optimal results and simulated annealing (SA) uses certain probability to avoid being trapped in a local optimum. The computational study showed that the proposed algorithm is a feasible and effective approach for capacitated vehicle routing problem, especially for large scale problems.

Key words

Capacitated routing problemDiscrete particle swarm optimization (DPSO)Simulated annealing (SA)

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© Springer-Verlag 2006