Skip to main content

Solving the CVRP Problem Using a Hybrid PSO Approach

  • Conference paper
Computational Intelligence (IJCCI 2011)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 465))

Included in the following conference series:

Abstract

The goal of the capacitated vehicle routing problem (CVRP) is to minimize the total distance of vehicle routes under the constraints of vehicles’ capacity. CVRP is classified as NP-hard problems and a number of meta-heuristic approaches have been proposed to solve the problem. This paper aims to develop a hybrid algorithm combining a discrete Particle Swarm Optimization (PSO) with Simulated Annealing (SA) to solve CVRPs. The two-stage approach of CVRP (cluster first and route second) has been adopted in the algorithm. To save computation time, a short solution representation has been adopted. The computational results demonstrate that our hybrid algorithm can effectively solve CVRPs within reasonable time.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dantzig, G.B., Ramser, J.H.: The Truck Dispatching Problem. Manage. Sci. 6(1), 80–91 (1959)

    Article  MathSciNet  MATH  Google Scholar 

  2. Jozefowiez, N., Semet, F., Talbi, E.G.: Multi-objective Vehicle Routing Problems. Eur. J. Oper. Res. 189, 293–309 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  3. Cordeau, J.F., Laporte, G., Savelsbergh, M.W.P., Vigo, D.: Chapter 6 Vehicle Routing. In: Barnhart, C., Laporte, G. (eds.) Handbook in Operations Research and Management Science, vol. 14, pp. 367–428. Elsevier (2007)

    Google Scholar 

  4. Baker, B.M., Ayechew, M.A.: A Genetic Algorithm for the Vehicle Routing Problem. Comput. Oper. Res. 30, 787–800 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  5. Bell, J.E., McMullen, P.R.: Ant Colony Optimization Techniques for the Vehicle Routing Problem. Adv. Eng. Inform. 18, 41–48 (2004)

    Article  Google Scholar 

  6. Zhang, X., Tang, L.: A New Hybrid Ant Colony Optimization Algorithm for the Vehicle Routing Problem. Pattern Recognit. Lett. 30, 848–855 (2009)

    Article  Google Scholar 

  7. Kennedy, J., Eberhart, R.: Particle Swarm Optimization. In: Proceedings of IEEE International Conference on Neural Networks, pp. 1942–1948 (1995)

    Google Scholar 

  8. 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(4), 607–614 (2006)

    Article  MATH  Google Scholar 

  9. Ai, T.J., Kachitvichyanukul, V.: Particle Swarm Optimization and Two Solution Representations for Solvingthe Capacitated Vehicle Routing Problem. Comput. Ind. Eng. 56, 380–387 (2009)

    Article  Google Scholar 

  10. Marinakis, Y., Marinaki, M., Dounias, G.: A Hybrid Particle Swarm Optimization Algorithm for the Vehicle Routing Problem. Eng. Appl. Artif. Intell. 23(4), 463–472 (2010)

    Article  MATH  Google Scholar 

  11. Shi, Y., Eberhart, R.: A Modified Particle Swarm Optimizer. In: Proceedings of IEEE International Conference on Evolutionary Computation, pp. 69–73 (1998)

    Google Scholar 

  12. Jarboui, B., Cheikh, M., Siarry, P., Rebai, A.: Combinatorial Particle Swarm Optimization (CPSO) for PartitionalClustering Problem. Appl. Math. Comput. 92, 337–345 (2007)

    Article  MATH  Google Scholar 

  13. Kirkpatrick, S., Gelatt Jr., C.D., Vecchi, M.P.: Optimization by Simulated Annealing. Science 220, 671–680 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  14. Patterson, D.A., Hennessy, J.L.: Computer Organization and Design: the Hardware/Software Interface. Morgan Kaufmann, Burlington (2011)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yucheng Kao .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kao, Y., Chen, M. (2013). Solving the CVRP Problem Using a Hybrid PSO Approach. In: Madani, K., Dourado, A., Rosa, A., Filipe, J. (eds) Computational Intelligence. IJCCI 2011. Studies in Computational Intelligence, vol 465. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35638-4_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-35638-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35637-7

  • Online ISBN: 978-3-642-35638-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics