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需求可分的车辆路径问题模型与算法 被引量:7

A Model and Algorithm to Solve Vehicle Routing Problem with Split Delivery
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摘要 需求可分的车辆路径问题(SDVRP)无论是从运输距离还是派车数量上,都可进一步优化传统的车辆路径问题。为了降低SDVRP的求解难度,本文在分析最优解性质的基础上,加强模型的约束条件,将原模型转变为等价的改进SDVRP,并在使用蚂蚁算法求解改进SDVRP模型的过程中,采用开发新路径和2-opt相结合的方法,以避免出现迭代停滞的现象。实验表明,算法计算结果稳定,最差解与最好解的偏差仅为1.80%。 Vehicle routing model with split delivery(SDVRP) can optimize further traditional vehicle routing problem in both transportation distance and the number of dispatching vehicle. To reduce the difficulty with the solution to SDVRP, based on analyzing properties of the optimal solution, the original model is transformed to the equivalent modified SDVRP through enforcing constraints of the original model. In the process of solving the modified SI)VRP model with ant colony algorithm, exploring new routes and 2-opt are combined to avoid premature convergence. The experiments demonstrate that the computing results are stable: The bias between the worst solution and the best solution is only 1.80%.
出处 《运筹与管理》 CSSCI CSCD 北大核心 2012年第3期72-76,共5页 Operations Research and Management Science
基金 国家软科学研究计划资助项目(2009GXS5D130) 国家自然科学基金资助项目(71173061)
关键词 物流管理 车辆路径问题 蚂蚁算法 需求可分 logistics management vehicle routing problem ant colony algorithm split deliveries
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参考文献8

  • 1Dror M, Trudeau P. Savings by split delivery routing[ J]. Transportation Science, 1989, 23 (2) : 141-145.
  • 2Lee C G, Epelman M, White C C. A shortest path approach to the multiple-vehicle routing with split picks-up[ J]. Transpor- tation Research Part B, 2006, 40(4): 265-284.
  • 3Jin M, Liu K, Bowden R O. A two-stage algorithm with valid inequalities for the split delivery vehicle routing problem[ J]. International Journal of Production Economics, 2007, 105 ( 1 ) : 228-242.
  • 4Belenguer J M, Martinez M C, Mota E. A lower bound for the split delivery vehicle routing problem [ J]. Operations. Research, 2000, 48(5) : 801-810.
  • 5Jin M, Liu K, Eksioglu B. A column generation approach for the split delivery vehicle routing problem [ J]. Operations Research Letters, 2008, 36 (2) : 265-270.
  • 6Frizzell P W, Giffin J W. The split delivery vehicle scheduling problem with time windows and grid network distance[J]. Computers & Operations Research, 1995, 22(3) : 655-667.
  • 7Ho S C, Haugland D. A tabu search heuristic for the vehicle routing problem with time windows and split deliveries [ J ]. Computers & Operations Research, 2004, 31 (12): 1947-1964.
  • 8谭家美,徐瑞华.客户需求可分的车辆路径问题求解[J].系统管理学报,2008,17(1):43-46. 被引量:7

二级参考文献14

  • 1[1]Lenstra J K,Rinnooy Kan AHG.Complexity of vehiele routing and scheduling problems[J].Networks,1981,11(2):221-227.
  • 2[4]Dror M,Trudeau P.Savings by split delivery routing[J].Transportation Science,1989,23(2):141-159.
  • 3[5]Dror M,Trudeau P.Split delivery routing[J].Naval Research Logistics,1990,37(3):383-402.
  • 4[6]Dror M,Laporte G,Trudeau P.Vehicle routing with split deliveries[J].Discrete Applied Mathematics,1994,50(3):239-254.
  • 5[7]Frizzell P W,Giln J W.The bounded split delivery vehicle routing problem with grid network distances[J].Asia-Pacific Journal of Operatioanl Research,1992,9(1):101-116.
  • 6[8]Frizzell P W,Giln J W.The split dellvery vehicle scheduling problem with time windows and grid network distances[J].Computers & Operational Research,1995,22(6):655-667.
  • 7[11]Ho S C,Haugland D.A tabu search heuristic for the vehicle routing problem with time windows and split deliveries[J].Computers & Operations Research,2004,31:1947-1964.
  • 8[13]Ombuki B M,Nakamura M,Osamu M.A hybrid search based on genetic algorithms and tabu search for vehicle routing[D].Brock University Technical Report:# CS-02-07,2002,5:1-7.
  • 9[14]Dorigo M,Caro G Di,Gambardella L M.Ant algorithms for discrete optimization[J].Artificial Life,1999,5(2):137-172.
  • 10[16]http://branchandcut.org/VRP/data/# E Vehicle Routing Data Sets.

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