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二供应商经济批量问题的多项式时间算法 被引量:3

A POLYNOMIAL TIME ALGORITHM FOR TWO-SUPPLIER ECONOMIC LOT-SIZE PROBLEM
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摘要 为了从采购费用结构不同的供应商中找到最佳补货策略,考虑一个零售商从两个供应商补货的二供应商经济批量问题.零售商在两个供应商处的采购费用结构分别为复合安装费用和全单位数量折扣费用结构.通过对问题结构性质的分析论证,将问题的可行解转化为一个有向网络,降低问题求解的计算复杂性.综合动态规划和Dijkstra最短路算法证明了该问题是多项式时间可解的. In order to find the optimal replenishment policy from the suppliers with different structures,this paper considers the two-supplier economic lot-size problem in which the retailer replenishes products from two suppliers.The two suppliers are characterized by multiple set-ups and all-unit quantity discount cost structures.Some structure properties are proposed to reduce the computational complexity.Then the feasible solutions of the problem are converted into a directed network.It is proved that this two-supplier economic lot-size problem can be solved in polynomial time by integrated dynamic programming and Dijkstra's shortest-path algorithm.
出处 《系统科学与数学》 CSCD 北大核心 2010年第7期936-946,共11页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(70971076和10926077)资助课题
关键词 批量 复合安装费用 全单位数量折扣 计算复杂性 动态规划 Lot-size multiple set-ups cost all-unit quantity discount computational complexity dynamic programming.
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参考文献12

  • 1Wagner H M,Whitin T M.Dynamic version of the economic lot-size model.Management Science,1958,5:89-96.
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二级参考文献10

  • 1刘心报,吴谊胜,经怀明.考虑价格折扣的两级供应链库存模型[J].合肥工业大学学报(自然科学版),2006,29(2):140-143. 被引量:4
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共引文献5

同被引文献23

  • 1Wagner H M, Whitin T M. Dynamic version of the economic lot-size model [J]. Management Science, 1958, 5(1): 89-96.
  • 2Federgruen A, Lee C Y. The dynamic lot size model with quantity discount [J]. Naval Research Logistics, 1990, 37(5): 707-713.
  • 3Xu J F, Lu L L. The dynamic lot size model with quantity discount: counterexamples and correction [J]. Naval Research Logistics, 1998, 45(4): 419-422.
  • 4Lee C Y. Inventory replenishment model: lot sizing versus just-in-time [J]. Operations Research Letters, 2004, 32(6): 581-590.
  • 5Hsu V N. Dynamic economic lot size model with perishable inventory [J]. Management Science, 2000, 46(8): 1159-1169.
  • 6Lee C Y, Cetinkaya S, Jaruphongsa W. A dynamic lot-sizing model for inventory lot sizing and outbound shipment scheduling at third-warehouse [J]. Operations Research, 2003, 51(5): 735-747.
  • 7Wagner H M, Whitin T M. Dynamic version of the economic lot size model [J]. Management Science, 2004, 50(12): 1770-1774.
  • 8Jaruphongsa W, Cetinkaya S, Lee C Y. A dynamic lot-sizing model with multi-mode replenishments: polynomial algorithms for special cases with dual and multiple modes [J]. IIE Transactions. 2005. 37: 453-467.
  • 9Eksioglu S D. A primal-dual algorithm for the economic lot-sizing problem with multi-mode replenishment [J]. European Journal of Operational Research, 2009, 197(1): 93-101.
  • 10Jaruphongsa W, Cetinkaya S, Lee C Y. Outbound shipment mode considerations for integrated inventory and delivery lot-sizing decisions [J]. Operations Research letters, 2007, 35(6): 813- 822.

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