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ACO-GRASP-VNS Metaheuristic for VRP with Fuzzy Windows Time Constraints

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Computer Aided Systems Theory – EUROCAST 2011 (EUROCAST 2011)

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Abstract

In this article we propose a methodological approach based on Soft Computing to obtain solutions to the vehicle routing problem when time windows constraints are imprecise and flexible. A fuzzy model and method is obtained by applying a Fuzzy Optimization approach. A new hybrid algorithm is presented and applied to real problem instances of a distribution company that combines Ant Colony Optimization, Variable Neighbourhood Search and Greedy Randomize Adaptive Search Procedure for the corresponding fuzzy optimization problem.

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References

  1. Balakrishnan, N.: Simple heuristics for the vehicle routing problem with soft time windows. The Journal of the Operational Research Society 44, 279–287 (1993)

    Article  MATH  Google Scholar 

  2. Bao, J., Cai, T., Jiang, Z.: Research on vehicle routing problem with soft time windows and distribution time constraints of vehicles. In: Int. Conf. Future Information Technology and Management Engineering, pp. 205–2008 (2010)

    Google Scholar 

  3. Bräysy, O., Gendreau, M.: Vehicle routing problem with time windows. Part I: Route construction and local search algorithms. Part II: Metaheuristics. Transportation Science 39(1), 104–139 (2005)

    Article  Google Scholar 

  4. Calvete, H.I., Galé, C., Oliveros, M.J., Sánchez-Valverde, B.: A goal programming approach to vehicle routing problems with soft time windows. European Journal of Operational Research 177, 1720–1733 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  5. Chiang, W.C., Russell, R.A.: A metaheuristic for the vehicle-routing problem with soft time windows. Journal of the Operational Research Society 55, 1298–1310 (2004)

    Article  MATH  Google Scholar 

  6. Delgado, M., Verdegay, J.L., Vila, M.A.: A General Model for Fuzzy Linear Programming. Fuzzy Sets and Systems 29, 21–29 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  7. Dorigo, M., Stutzle, T.: The ant colony optimization metaheuristic: algorithms, applications, and advances. In: Glover, F., Kochenberger, G. (eds.) Handbook of Metaheuristics. Kluwer, Dordrecht (2003)

    Google Scholar 

  8. Fu, Z., Eglese, R., Li, L.Y.: A unified tabu search algorithm for vehicle routing problems with soft time windows. Journal of the Operational Research Society 59, 663–673 (2008)

    Article  MATH  Google Scholar 

  9. Gambardella, L.M., Taillard, E., Agazzi, G.: MACS-VRPTW: a multiple ant colony system for vehicle routing problems with time windows. In: Corne, D., et al. (eds.) New Ideas in Optimization, pp. 63–76 (1999)

    Google Scholar 

  10. Guo, Z.G., Mak, K.L.: A heuristic algorithm for the stochastic vehicle routing problems with soft time windows. In: Congress on Evolutionary Computation, CEC 2004, vol. 2, pp. 1449–1456, 19–23 (2004)

    Google Scholar 

  11. Gupta, R., Singh, B., Pandey, D.: Multi-Objective Fuzzy Vehicle Routing Problem: A Case Study. Int. J. Contemp. Math. Sciences 5(29), 1439–1454 (2010)

    MATH  Google Scholar 

  12. Hansen, P., Mladenović, N., Moreno Pérez, J.A.: Variable neighbourhood search: methods and applications. Annals of Operations Research 175(1), 367–407 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  13. Hashimoto, H., Ibaraki, T., Imahori, S., Yagiura, M.: The vehicle routing problem with flexible time windows and traveling times. Discrete Applied Mathematics 154, 2271–2290 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  14. Hashimoto, H., Yagiura, M., Imahori, S., Ibaraki, T.: Recent progress of local search in handling the time window constraints of the vehicle routing problem. 4OR-Q Journal Operation Research 8, 221–238 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  15. Ioannou, G., Kritikos, M., Prastacos, G.: A problem generator–solver heuristic for vehicle routing with soft time windows. Omega 31, 41–53 (2003)

    Article  Google Scholar 

  16. Kobylanski, P., Kulej, M.: Vehicle Routing and Scheduling with Fuzzy Time Windows and Fuzzy Goal. In: Wagenknecht, M., Hampel, R. (eds.) Proceedings 3rd Conference of the European Society for Fuzzy Logic and Technology (2003)

    Google Scholar 

  17. Li, X., Tian, P., Leung, S.: Vehicle routing problems with time windows service times: Models and algorithm. Int. J. Production Economics 125, 137–145 (2010)

    Article  Google Scholar 

  18. Liberatore, F., Righini, G., Salani, M.A.: column generation algorithm for the vehicle routing problem with soft time windows. 4OR-Q J. Operational Research 9, 49–82 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  19. Resende, M.G.C., Ribeiro, C.C.: Greedy randomized adaptive search procedure. In: Glover, F., Kochenberger, G. (eds.) Handbook in Metaheuristics, pp. 219–249. Kluwer, Dordrecht (2003)

    Chapter  Google Scholar 

  20. Taillard, E., 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, 170–186 (1997)

    Article  MATH  Google Scholar 

  21. Tang, J., Pan, Z., Fung, R., Lau, H.: Vehicle Routing Problem with Fuzzy Time Windows. In: Fuzzy Sets and Systems, vol. 160, pp. 683–695 (2009)

    Google Scholar 

  22. Verdegay, J.L.: Fuzzy mathematical programming. In: Gupta, M.M., Sanchez, E. (eds.) Fuzzy Information and Decision Processes (1982)

    Google Scholar 

  23. Verdegay, J.L.: Fuzzy optimization: models, methods and perspectives. In: 6thIFSA-1995 World Congress, pp. 39–71 (1995)

    Google Scholar 

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Brito, J., Martínez, F.J., Moreno-Pérez, J.A., Verdegay, J.L. (2012). ACO-GRASP-VNS Metaheuristic for VRP with Fuzzy Windows Time Constraints. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2011. EUROCAST 2011. Lecture Notes in Computer Science, vol 6927. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27549-4_56

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  • DOI: https://doi.org/10.1007/978-3-642-27549-4_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27548-7

  • Online ISBN: 978-3-642-27549-4

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