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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Salhi, S., Rand, G.K.: The effect of ignoring routes when locating depots. European Journal of Operational Research 39(2), 150–156 (1989)
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)
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)
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)
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)
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)
Nagy, G., Salhi, S.: Location-routing: Issues, models and methods. European Journal of Operational Research 177(2), 649–672 (2007)
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)
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)
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)
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)
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)
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)
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)
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)
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)
Hansen, P., Mladenović, N.: Variable neighborhood search. In: Glover, F., Kochenberger, G. (eds.) Handbook of Metaheuristics, pp. 145–184. Kluwer Academic Publishers, Boston (2003)
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)
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)
Kirkpatrick, S., Gelatt Jr., C.D., Vecchi, M.P.: Optimization by simulated annealing. Science 220(4598), 671–680 (1983)
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)
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)
Desrosiers, J., Lübbecke, M.E.: A primer in column generation. In: Desaulniers, G., et al. (eds.) Column Generation, pp. 1–32. Springer, Heidelberg (2005)
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)
Prodhon, C. (June 2010), http://prodhonc.free.fr/
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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)