Skip to main content

Variable Neighborhood Search Coupled with ILP-Based Very Large Neighborhood Searches for the (Periodic) Location-Routing Problem

  • Conference paper
Book cover Hybrid Metaheuristics (HM 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6373))

Included in the following conference series:

Abstract

This work deals with the application of a variable neighborhood search (VNS) to the capacitated location-routing problem (LRP) as well as to the more general periodic LRP (PLRP). For this, previous successful VNS algorithms for related problems are considered and accordingly adapted as well as extended. The VNS is subsequently combined with three very large neighborhood searches (VLNS) based on integer linear programming: Two operate on whole routes and do a rather coarse, yet powerful optimization, with the more sophisticated one also taking the single customers into account, and the third operates on customer sequences to do a more fine-grained optimization. Several VNS plus VLNS combinations are presented and very encouraging experimental results are given. Our method clearly outperforms previous PLRP approaches and is at least competitive to leading approaches for the LRP.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Salhi, S., Rand, G.K.: The effect of ignoring routes when locating depots. European Journal of Operational Research 39(2), 150–156 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  2. Prins, C., Prodhon, C., Calvo, R.W.: Solving the capacitated location-routing problem by a GRASP complemented by a learning process and a path relinking. 4OR 4(3), 221–238 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  3. Prins, C., Prodhon, C., Calvo, R.W.: A memetic algorithm with population management (MA|PM) for the capacitated location-routing problem. In: Gottlieb, J., Raidl, G.R. (eds.) EvoCOP 2006. LNCS, vol. 3906, pp. 183–194. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  4. Duhamel, C., Lacomme, P., Prins, C., Prodhon, C.: A memetic approach for the capacitated location routing problem. In: Prodhon, C., et al. (eds.) Proceedings of the 9th EU/MEeting on Metaheuristics for Logistics and Vehicle Routing, Troyes, France (2008)

    Google Scholar 

  5. Duhamel, C., Lacomme, P., Prins, C., Prodhon, C.: A GRASP×ELS approach for the capacitated location-routing problem. Computers & OR 37(11), 1912–1923 (2010)

    Article  MATH  Google Scholar 

  6. Prins, C., Prodhon, C., Ruiz, A., Sorianoa, P., Calvo, R.W.: Solving the capacitated location-routing problem by a cooperative Lagrangean relaxation-granular tabu search heuristic. Transportation Science 41(4), 470–483 (2007)

    Article  Google Scholar 

  7. Nagy, G., Salhi, S.: Location-routing: Issues, models and methods. European Journal of Operational Research 177(2), 649–672 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  8. Prodhon, C.: A metaheuristic for the periodic location-routing problem. In: Kalcsics, J., Nickel, S. (eds.) Proceedings of Operations Research 2007, pp. 159–164. Springer, Heidelberg (2007)

    Google Scholar 

  9. Prodhon, C., Prins, C.: A memetic algorithm with population management (MA|PM) for the periodic location-routing problem. In: Blesa, M.J., Blum, C., Cotta, C., Fernández, A.J., Gallardo, J.E., Roli, A., Sampels, M. (eds.) HM 2008. LNCS, vol. 5296, pp. 43–57. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  10. Prodhon, C.: An ELS×path relinking hybrid for the periodic location-routing problem. In: Blesa, M.J., Blum, C., Gaspero, L.D., Roli, A., Sampels, M., Schaerf, A. (eds.) HM 2009. LNCS, vol. 5818, pp. 15–29. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  11. Hemmelmayr, V.C., Doerner, K.F., Hartl, R.F.: A variable neighborhood search heuristic for periodic routing problems. European Journal of Operational Research 195(3), 791–802 (2009)

    Article  MATH  Google Scholar 

  12. Pirkwieser, S., Raidl, G.R.: A variable neighborhood search for the periodic vehicle routing problem with time windows. In: Prodhon, C., et al. (eds.) Proceedings of the 9th EU/MEeting on Metaheuristics for Logistics and Vehicle Routing, Troyes, France (2008)

    Google Scholar 

  13. Polacek, M., Hartl, R.F., Doerner, K.F., Reimann, M.: A variable neighborhood search for the multi depot vehicle routing problem with time windows. Journal of Heuristics 10, 613–627 (2004)

    Article  Google Scholar 

  14. De Franceschi, R., Fischetti, M., Toth, P.: A new ILP-based refinement heuristic for vehicle routing problems. Math. Program. 105(2-3), 471–499 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  15. Pirkwieser, S., Raidl, G.R.: Multiple variable neighborhood search enriched with ILP techniques for the periodic vehicle routing problem with time windows. In: Blesa, M.J., Blum, C., Di Gaspero, L., Roli, A., Sampels, M., Schaerf, A. (eds.) HM 2009. LNCS, vol. 5818, pp. 45–59. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  16. Raidl, G.R., Puchinger, J.: Combining (integer) linear programming techniques and metaheuristics for combinatorial optimization. In: Blum, C., et al. (eds.) Hybrid Metaheuristics – An Emergent Approach for Combinatorial Optimization. SCI, vol. 114, pp. 31–62. Springer, Heidelberg (2008)

    Google Scholar 

  17. Hansen, P., Mladenović, N.: Variable neighborhood search. In: Glover, F., Kochenberger, G. (eds.) Handbook of Metaheuristics, pp. 145–184. Kluwer Academic Publishers, Boston (2003)

    Chapter  Google Scholar 

  18. Clarke, G., Wright, J.W.: Scheduling of vehicles from a central depot to a number of delivery points. Operations Research 12(4), 568–581 (1964)

    Article  Google Scholar 

  19. Potvin, J.Y., Rousseau, J.M.: An exchange heuristic for routeing problems with time windows. Journal of the Operational Research Society 46, 1433–1446 (1995)

    Article  MATH  Google Scholar 

  20. Kirkpatrick, S., Gelatt Jr., C.D., Vecchi, M.P.: Optimization by simulated annealing. Science 220(4598), 671–680 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  21. Ahuja, R.K., Ergun, Ö., Orlin, J.B., Punnen, A.P.: A survey of very large-scale neighborhood search techniques. Discrete Applied Mathematics 123(1-3), 75–102 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  22. Akca, Z., Berger, R.T., Ralphs, T.K.: A branch-and-price algorithm for combined location and routing problems under capacity restrictions. In: Chinneck, J.W., et al. (eds.) Operations Research and Cyber-Infrastructure. Operations Research/Computer Science Interfaces Series, vol. 47, pp. 309–330. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  23. Desrosiers, J., Lübbecke, M.E.: A primer in column generation. In: Desaulniers, G., et al. (eds.) Column Generation, pp. 1–32. Springer, Heidelberg (2005)

    Google Scholar 

  24. Rousseau, L.M., Gendreau, M., Pesant, G.: Using constraint-based operators to solve the vehicle routing problem with time windows. Journal of Heuristics 8(1), 43–58 (2002)

    Article  MATH  Google Scholar 

  25. Prodhon, C. (June 2010), http://prodhonc.free.fr/

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

Pirkwieser, S., Raidl, G.R. (2010). Variable Neighborhood Search Coupled with ILP-Based Very Large Neighborhood Searches for the (Periodic) Location-Routing Problem. In: Blesa, M.J., Blum, C., Raidl, G., Roli, A., Sampels, M. (eds) Hybrid Metaheuristics. HM 2010. Lecture Notes in Computer Science, vol 6373. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16054-7_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-16054-7_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16053-0

  • Online ISBN: 978-3-642-16054-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics