A Heuristic Algorithm for the Periodic Heterogeneous Fleet Vehicle Routing Problem

주기적 다용량 차량경로문제에 관한 발견적 해법

  • 윤태용 (국방대학교 운영분석학과) ;
  • 이상헌 (국방대학교 운영분석학과)
  • Received : 2010.03.05
  • Accepted : 2011.01.31
  • Published : 2011.03.31

Abstract

In this paper, we deal with the periodic heterogeneous fleet vehicle routing problem (PHVRP). PHVRP is a problem of designing vehicle routes in each day of given period to minimize the sum of fixed cost and variable cost over the planning horizon. Each customer can be visited once or more times over the planning horizon according to the service combinations of that customer. Due to the complexity of the problem, we suggest a heuristic algorithm in which an initial solution is obtained by assigning the customer-day and the customer-car simultaneously and then it is improved. A performance of the proposed algorithm was compared to both well-known results and new test problems.

Keywords

References

  1. 김병인, "클러스터링을 이용한 주기적 차량운행 경로 문제 해법", 한국경영과학회/대한산업공학회 춘계공동학술대회, 2005.
  2. Arthur, D. and S. Vassilvitskii, "k-means++: The Advantages of Careful Seeding," SODA, 2007.
  3. Beltrami, R.J. and L.D. Bodin, "Networks and Vehicle routing for Municipal Waste Collection," Networks, Vol.4(1974), pp.65-94. https://doi.org/10.1002/net.3230040106
  4. Brandao, J., "A deterministic Tabu search algorithm for the fleet size and mix vehicle routing problem," European Journal of Operational Research, 2008.
  5. Chao, I.M., B.L. Golden, and E.A. Wasil, "An improved heuristic for the period vehicle routing problem," Networks, Vol.26(1995), pp.25- 44. https://doi.org/10.1002/net.3230260104
  6. Choi, E.J. and D.W. Tcha, "A column generation approach to the heterogeneous fleet vehicle routing problem," Computer and Operation Research, 2005.
  7. Cordeau, J.F., M. Gendreau, and G. Laporte, "A tabu search heuristic for periodic and multi- depot vehicle routing problems," Networks, Vol.30(1997), pp.105-119. https://doi.org/10.1002/(SICI)1097-0037(199709)30:2<105::AID-NET5>3.0.CO;2-G
  8. Dantzig, G.B. and J.H. Ramser, "The Truck Dispatching Problem," Management Science, Vol.6(1959), pp.80-91. https://doi.org/10.1287/mnsc.6.1.80
  9. Desrochers, M. and J.W. Verhoog, "A new heuristic for the fleet size and mix vehicle routing problem," Computer and Operations Research, 1991.
  10. Eilon, S., C.D.T. Watson-Gandy, and N. Christofides, "Distribution Management:Mathematical Modeling and Practical Analysis," Griffin, London, 1971.
  11. Golden, B., A. Assad, L. Levy, and F.G. Gheysens, "The Fleet size and Mix Vehicle Routing Problem," Computer and Operations Research, Vol.11(1984), pp.49-66. https://doi.org/10.1016/0305-0548(84)90007-8
  12. Hemmelmayr, V.C. and K.F. Doerner, "A variable neighborhood search heuristic for periodic routing problem," European Journal of Operational Research, Vol195, No.3(2009), pp.791-802. https://doi.org/10.1016/j.ejor.2007.08.048
  13. Imran, A., S. Salhi, and N.A. Wassan, "A variable neighborhood-based heuristic for the heterogeneous fleet vehicle routing problem," European Journal of Operational Research, 2008.
  14. Lin, S., "Computer Solution of the Traveling Salesman Problem," Bell System Tech, Vol. 44(1965), pp.2245-2269. https://doi.org/10.1002/j.1538-7305.1965.tb04146.x
  15. Lin, S.B. and W. Kernighan, "An Effective Heuristic Algorithm for Traveling Salesman Problem," Operations Research, Vol.21(1973), pp.498-516. https://doi.org/10.1287/opre.21.2.498
  16. MacQueen, J.B., "Some Methods for Classification and Analysis of Multivariate Observations," Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol.1(1967), pp.281-297.
  17. Prikwieser, S. and G.R. Raidl, "A variable neighborhood search for the periodic vehicle routing problem with time windows," In C. Prodhon et al., editors, Proceedings of the 9th EU/MEeting on Metaheuristics for Logistics and Vehicle Routing, Troyes, France, 2008.
  18. Russell, R. and W. Igo, "An Assignment Routing Program," Networks, Vol.9(1979), pp.1-17. https://doi.org/10.1002/net.3230090102
  19. Taillard, E.D., "A heuristic column generation method for heterogeneous fleet," CRT, Vol.3(1996).