Skip to main content

Fast Approximation Heuristics for Multi-Objective Vehicle Routing Problems

  • Conference paper
Applications of Evolutionary Computation (EvoApplications 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6025))

Included in the following conference series:

Abstract

The article describes an investigation of the use of fast approximation heuristics for multi-objective vehicle routing problems (MO-VRP). We first present a constructive heuristic based on the savings approach, which we generalize to fit the particular multi-objective nature of the problem. Then, an iterative phase based on local search improves the solutions towards the Pareto-front. Experimental investigations on benchmark instances taken from the literature show that the required computational effort for approximating such problems heavily depends on the underlying structures of the data sets. The insights gained in our study are particularly valuable when giving recommendations on how to solve a particular MO-VRP or even a particular MO-VRP instance, e. g. by means of a posteriori or interactive optimization approaches.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight 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. Gendreau, M., Bräysy, O.: Metaheuristic approaches for the vehicle routing problem with time windows: A survey. In: MIC 2003: Proceedings of the Fifth Metaheuristics International Conference, Kyoto, Japan, August 2003, pp. 1–10 (2003)

    Google Scholar 

  2. Potvin, J.Y., Kervahut, T., Garcia, B.L., Rousseau, J.M.: The vehicle routing problem with time windows. Part I: Tabu search. INFORMS Journal on Computing 8(2), 158–164 (Spring 1996)

    Google Scholar 

  3. Potvin, J.Y., Bengio, S.: The vehicle routing problem with time windows. Part II: Genetic search. INFORMS Journal on Computing 8(2), 165–172 (Spring 1996)

    Google Scholar 

  4. Cordeau, J.F., Laporte, G., Mercier, A.: A unified tabu search heuristic for vehicle routing problems with time windows. Journal of the Operational Research Society (52), 928–936 (2001)

    Google Scholar 

  5. Jozefowiez, N., Semet, F., Talbi, E.G.: Multi-objective vehicle routing problems. European Journal of Operational Research 189(2), 293–309 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  6. Park, Y.B., Koelling, C.P.: An interactive computerized algorithm for multicriteria vehicle routing problems. Computers & Industrial Engineering 16(4), 477–490 (1989)

    Article  Google Scholar 

  7. Pacheco, J., Marti, R.: Tabu search for a multi-objective routing problem. Journal of the Operational Research Society (57), 29–37 (2006)

    Google Scholar 

  8. Phelps, S.P., Köksalan, M.: An interactive evolutionary metaheuristic for multiobjective combinatorial optimization. Management Science 49, 1726–1738 (2003)

    Article  Google Scholar 

  9. Taillard, É., Badeau, P., Gendreau, M., Guertin, F., Potvin, J.Y.: A tabu search heuristic for the vehicle routing problem with soft time windows. Transportation Science 31(2), 170–186 (1997)

    Article  MATH  Google Scholar 

  10. Clarke, G., Wright, J.W.: Scheduling of vehicles from a central depot to a number of delivery points. Operations Research 12, 568–581 (1964)

    Article  Google Scholar 

  11. Paquete, L., Chiarandini, M., Stützle, T.: Pareto local optimum sets in the biobjective traveling salesman problem: An experimental study. In: Gandibleux, X., Sevaux, M., Sörensen, K., T’kindt, V. (eds.) Metaheuristics for Multiobjective Optimisation. Lecture Notes in Economics and Mathematical Systems, vol. 535. Springer, Heidelberg (2004)

    Google Scholar 

  12. Hansen, P., Mladenović, N.: Variable neighborhood search. In: Glover, F., Kochenberger, G.A. (eds.) Handbook of Metaheuristics. International Series in Operations Research & Management Science, vol. 57, pp. 145–184. Kluwer Academic Publishers, Dordrecht (2003)

    Google Scholar 

  13. Solomon, M.M.: Algorithms for the vehicle routing and scheduling problems with time windows constraints. Operations Research 35(2), 254–265 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  14. Auger, A., Bader, J., Brockhoff, D., Zitzler, E.: Theory of the hypervolume indicator: Optimal μ-distributions and the choice of the reference point. In: Proceedings of the tenth ACM SIGEVO workshop on Foundations of Genetic Algorithms, Orlando, Florida, January 2009, pp. 87–102 (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Geiger, M.J. (2010). Fast Approximation Heuristics for Multi-Objective Vehicle Routing Problems. In: Di Chio, C., et al. Applications of Evolutionary Computation. EvoApplications 2010. Lecture Notes in Computer Science, vol 6025. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12242-2_45

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-12242-2_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12241-5

  • Online ISBN: 978-3-642-12242-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics