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A Re-constructed Meta-Heuristic Algorithm for Robust Fleet Size and Mix Vehicle Routing Problem with Time Windows under Uncertain Demands

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Proceedings of the 18th Asia Pacific Symposium on Intelligent and Evolutionary Systems - Volume 2

Abstract

Recent work of the fleet size and mix vehicle routing problem with time windows mostly assumes that the input variables are deterministic. Practice in the real world, however, faces considerable uncertainty in the data. But recent research studies lack emphasis on this uncertainty. This paper focuses to contribute to a new challenging study by considering the customer demand as uncertain. This characteristic increases the difficulty for solving. The meta-heuristic algorithms are developed consisting a modification of a genetic algorithm and an adaptation of a greedy search hybridized with inter-route neighborhood search methods. Because this paper relates to uncertain customer demands, decision making is performed using the robust approach based on worst case scenarios. The final results are evaluated by using the extra cost and the unmet demand against the deterministic approach to balance the decision making.

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References

  1. Soonpracha, K., Mungwattana, A., Janssens, G.K., Manisri, T.: Heterogeneous VRP Review and Conceptual Framework. In: The International MultiConference of Engineers and Computer Scientists, APIEMS 2014, Hong Kong, pp. 1052–1059 (2014)

    Google Scholar 

  2. Hoff, A., Andersson, H., Christiansen, M., Hasle, G., Lokketangen, A.: Industrial aspects and literature survey: fleet composition and routing. Computers & Operations Research 37(12), 2041–2061 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  3. Baldacci, R., Battarra, M., Daniele, V.: Routing a heterogeneous fleet of vehicles. Technical Report DEIS OR.INGCE. 1 (2007)

    Google Scholar 

  4. Osman, I.H., Salhi, S.: Local search strategies for the vehicle fleet mix problem. In: Rayward-Smith, V., Osman, I., Reeves, C.R., Smith, G. (eds.) Modern Heuristic Search Methods, pp. 131–154. John Wiley & Sons, Chichester (1996)

    Chapter  Google Scholar 

  5. Renaud, J., Boctor, F.F.: A sweep-based algorithm for the fleet size and mix vehicle routing problem. European Journal of Operational Research 140, 618–628 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  6. Gendreau, M., Laporte, G., Musaraganyi, C., Taillard, É.D.: A tabu search heuristic for the heterogeneous fleet vehicle routing problem. Computers & Operations Research 26, 1153–1173 (1999)

    Article  MATH  Google Scholar 

  7. Wassan, N.A., Osman, I.H.: Tabu search variants for the mix fleet vehicle routing problem. Journal of the Operational Research Society 53, 768–782 (2002)

    Article  MATH  Google Scholar 

  8. Brandão, J.: A deteministic tabu search algorithm for the fleet size and mix vehicle routing problem. European Journal of Operational Research 195, 716–728 (2009)

    Article  MATH  Google Scholar 

  9. Liu, S., Huang, W., Ma, H.: An effective genetic algorithm for the fleet size and mix vehicle routing problems. Transportation Research Part E 45, 434–445 (2009)

    Article  Google Scholar 

  10. Prins, C.: Two memetic algorithms for heterogeneous fleet vehicle routing problems. Engineering Applications of Artificial Intelligence 22, 916–928 (2009)

    Article  Google Scholar 

  11. Baldacci, R., Mingozzi, A.: A unified exact method for solving different classes of vehicle routing problems. Mathematical Programming 120, 347–380 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  12. Subramanian, A., Penna, P.H.V., Uchoa, E., Ochi, L.S.: A Hybrid Algorithm for the Fleet Size and Mix Vehicle Routing Problem. In: International Conference on Industrial Engineering and Systems Management (2011)

    Google Scholar 

  13. Redmer, A., Żak, J., Sawicki, P., Maciejewski, M.: Heuristic approach to fleet composition problem. Social and Behavioral Sciences 54, 414–427 (2012)

    Google Scholar 

  14. Penna, P.H.V., Subramanian, A., Ochi, L.S.: An iterated local search heuristic for the heterogeneous fleet vehicle routing problem. Journal of Heuristics 19(2), 201–232 (2011)

    Article  Google Scholar 

  15. Dullaert, W., Janssens, G.K., Sörensen, K., Vernimmen, B.: New heuristics for the fleet size and mix vehicle routing problem with time windows. Journal of the Operational Research Society (2002)

    Google Scholar 

  16. Amico, M.D., Monaci, M., Pagani, C., Vigo, D.: Heuristic approaches for the fleet size and mix vehicle routing problem with time windows. Transportation Science 41(4), 516–526 (2007)

    Article  Google Scholar 

  17. Belfiore, P.P., Fávero, L.P.L.: Scatter search for the fleet size and mix vehicle routing problem with time windows. Central European Journal of Operations Research 15, 351–368 (2007)

    Article  MATH  Google Scholar 

  18. Bräysy, O., Dullaert, W., Hasle, G., Mest, D.: An effective multirestart deterministic annealing metaheuristic for the fleet size and mix vehicle routing problem with time windows. Transportation Science 42(3), 371–386 (2008)

    Article  Google Scholar 

  19. Bräysy, O., Porkka, P.P., Dullaert, W., Repoussis, P.P., Tarantilis, C.D.: A well-scalable metaheuristic for the fleet size and mix vehicle routing problem with time windows. Expert Systems with Applications 36(4), 8460–8475 (2009)

    Article  Google Scholar 

  20. Repoussis, P., Tarantilis, C.: An effective multirestart deterministic annealing metaheuristic for the fleet size and mix vehicle routing problem with time windows. Transportation Research Part C 18, 695–712 (2010)

    Article  Google Scholar 

  21. Belfiore, P., Yoshizaki, H.T.: Scatter search for a real-life heterogeneous fleet vehicle routing problem with time windows and split deliveries in Brazil. European Journal of Operational Research 199, 750–758 (2009)

    Article  MATH  Google Scholar 

  22. Belfiore, P., Yoshizaki, H.T.: Heuristic methods for the fleet size and mix vehicle routing problem with time windows and split deliveries. Computers & Industrial Engineering 64, 589–601 (2013)

    Article  Google Scholar 

  23. Salhi, S., Sari, M.: A multi-level composite heuristic for the multi-depot vehicle fleet mix problem. European Journal of Operational Research 103, 95–112 (1997)

    Article  MATH  Google Scholar 

  24. Baldacci, R., Mingozzi, A.: A unified exact method for solving different classes of vehicle routing problems. Mathematical Programming 120, 347–380 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  25. List, G.F., Wood, B., Nozick, L.K., Turnquist, M.A., Jones, D.A., Kjeldgaard, E.A., Lawton, C.R.: Robust optimization for fleet planning under uncertainty. Transportation Research Part E 39, 209–227 (2002)

    Article  Google Scholar 

  26. Sungur, I., Ordónez, F., Dessouky, M.: A robust optimization approach for the capacitated vehicle routing problem with demand uncertainty. Inst. Ind. Eng. Trans. 40(5), 509–523 (2008)

    Google Scholar 

  27. Janssens, G.K., Caris, A., Ramaekers, K.: Time Petri nets as an evaluation tool for handling travel time uncertainty in vehicle routing solutions. Expert Systems with Applications 36, 5987–5991 (2009)

    Article  Google Scholar 

  28. Yin, Y., Madanat, S.M., Lu, X.-Y.: Robust improvement schemes for road networks under demand uncertainty. European Journal of Operational Research 198, 470–479 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  29. Sörensen, K., Sevaux, M.: A Practical Approach for Robust and Flexible Vehicle Routing Using Metaheuristics and Monte Carlo Sampling. Journal of Mathematical Modelling and Algorithms 8, 387–407 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  30. Moghaddam, B.F., Sadjadi, S.J., Seyedhosseini, S.M.: Comparing mathematical and heuristic methods. International Journal of Research and Reviews in Applied Sciences 2(2), 108–116 (2010)

    Google Scholar 

  31. Zhu, J., Gao, M., Huang, J.: A robust approach to vehicle routing for medical supplies in large-scale emergencies. In: International Symposium on Emergency Management (ISEM 2009) (December 2009)

    Google Scholar 

  32. Aguirre, A., Coccola, M., Zamarripa, M., Méndez, C., Espuña, A.: A robust MILP-based approach to vehicle routing problems with uncertain demands. In: 21st European Symposium on Computer Aided Process Engineering - ESCAPE 21, pp. 633–637 (2011)

    Google Scholar 

  33. Manisri, T., Mungwattana, A., Janssens, G.K.: Minimax optimisation approach for the robust vehicle routing problem with time windows and uncertain travel times. International Journal of Logistics Systems and Management 10(4), 461–477 (2011)

    Article  Google Scholar 

  34. Moghaddam, B.F., Ruiz, R., Sadjadi, S.J.: Vehicle routing problem with uncertain demands: An advanced particle swarm algorithm. Computers & Industrial Engineering 62, 306–317 (2012)

    Article  Google Scholar 

  35. Goodson, J.C., Ohlmann, J.W., Thomas, B.W.: Cyclic-order neighborhoods with application to the vehicle routing problem with stochastic demand. European Journal of Operational Research 217, 312–323 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  36. Jabali, O., Gendreau, M., Laporte, G.: A continuous approximation model for the fleet compositon problem. Transportation Research Part B 46, 1591–1606 (2012)

    Article  Google Scholar 

  37. Kouvelis, P., Yu, G.: Robust discrete optimization and its applications. Kluwer Academic Publishers, Dordrecht (1996)

    Google Scholar 

  38. Kirk, J.: Mathlab Central (2007), http://www.mathworks.com

  39. Dasgupta, S., Papadimitriou, C., Vazirani, U.V.: Algorithms, 1st edn., McGraw-Hill Science/Engineering/Math. (2006)

    Google Scholar 

  40. Solomon, M.M.: VRPTW Benchmark Problems (2005), http://w.cba.neu.edu/~msolomon/problems.html

  41. Cachon, G., Terwiesch, C.: Matching Supply with Demand: An Introduction to Operations Management, 3rd edn. McGraw-Hill (2011)

    Google Scholar 

  42. Liu, F.H., Shen, S.Y.: The fleet size and mix vehicle routing problem with time windows. Journal of the Operational Research Society 50, 721–732 (1999)

    Article  MATH  Google Scholar 

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Correspondence to Kusuma Soonpracha .

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Soonpracha, K., Mungwattana, A., Manisri, T. (2015). A Re-constructed Meta-Heuristic Algorithm for Robust Fleet Size and Mix Vehicle Routing Problem with Time Windows under Uncertain Demands. In: Handa, H., Ishibuchi, H., Ong, YS., Tan, KC. (eds) Proceedings of the 18th Asia Pacific Symposium on Intelligent and Evolutionary Systems - Volume 2. Proceedings in Adaptation, Learning and Optimization, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-319-13356-0_28

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  • DOI: https://doi.org/10.1007/978-3-319-13356-0_28

  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-13356-0

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