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考虑批量折扣的单供货商多销售商动态规划模型 被引量:2

Dynamic Programming Model for a One-Vendor Multi-Buyer System with Quantity Discount Considerations
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摘要 建立了有限计划期内单供货商多销售商动态规划模型。引入分配系统及最小分配的概念重新描述多销售商联合订购问题。在假定供货商提供全单位批量折扣的前提下,利用本文得到的判定最小分配的充要条件给出了寻求供货商最优生产策略及各个销售商最优订购策略的动态规划算法。最后给出了应用实例。 In this paper, we develop a dynamic programming model for a one-vendor multi-buyer system over a finite time horizon. The joint replenishment problem for multiple buyers is rewritten by using the concepts of allocation system and minimal allocation. A dynamic programming algorithm, which is obtained by using the necessary and sufficient conditions for a minimal allocation, is used for finding the optimal production and replenishment policies on vendor and buyers respectively, under the assumption that vendor provides the all unit quantity discount to buyers. A practical example is given to illustrate the solution procedure.
出处 《系统工程理论方法应用》 北大核心 2006年第4期332-338,共7页 Systems Engineering Theory·Methodology·Applications
基金 国家自然科学基金资助项目(70471045) 合肥工业大学校基金资助项目(051003F)
关键词 生产 库存 批量折扣 动态规划 production inventory quantity discount dynamic programming
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参考文献12

  • 1Banerjee A.A joint economic-lot-size model for purchaser and vendor[J].Decision Sciences,1986,17:292-311. 被引量:1
  • 2Lu L.A one-vendor multi-buyer integrated inventory model[J].Eur J Opl Res,1995,81:312-323. 被引量:1
  • 3Hill R M.The single-vendor single-buyer integrated production-inventory model with a generalised policy[J].Eur J Opl Res,1997,97:493-499. 被引量:1
  • 4Goyal S K.A joint economic-lot-size model for purchaser and vendor:A comment[J]..Decision Sciences,1988,19:236-241. 被引量:1
  • 5Goyal S K.A one-vendor multi-buyer integrated inventory model:A comment[J].Eur J Opl Res,1995,82:209-210. 被引量:1
  • 6Goyal S K,Nebebe F.Determination of economic production-shipment policy for a single-vendor-single-buyer system[J].Eur J Opl Res,2000,121:175-178. 被引量:1
  • 7Goyal S K.On improving the single-vendor singlebuyer integrated production inventory model with a generalized policy[J].Eur J Opl Res,2000,125:429-430. 被引量:1
  • 8王圣东.单供货商多销售商联合生产库存模型[J].系统工程学报,2006,21(1):92-96. 被引量:15
  • 9Zipkin P.Simple ranking methods for allocation of one resource[J].Mgmt Sci,1980,26:34-43. 被引量:1
  • 10Federgruen A,Zipkin P.Allocation policies and cost approximation for multi-location inventory systems[J].Naval Res Logist Quart,1984,31:97-131. 被引量:1

二级参考文献7

  • 1Banerjee A.A joint economic-lot-size model for purchaser and vendor[J].Decision Sciences,1986,17:292-311. 被引量:1
  • 2Goyal S K.A joint economic-lot-size model for purchaser and vendor:A comment[J].Decision Sciences,1988,19:236-241. 被引量:1
  • 3Lu L.A one-vendor multi-buyer integrated inventory model[J].European Journal of Operational Research,1995,81:312-323. 被引量:1
  • 4Hill R M.The single-vendor single-buyer integrated production-inventory model with a generalized policy[J].European Journal of Operational Research,1997,97:493-499. 被引量:1
  • 5Goyal S K.A one-vendor multi-buyer integrated inventory model:A comment[J].European Journal of Operational Research,1995,82:209-210. 被引量:1
  • 6Goyal S K,Nebebe F.Determination of economic production-shipment policy for a single-vendor-single-buyer system[J].European Journal of Operational Research,2000,121:175-178. 被引量:1
  • 7Goyal S K.On improving the single-vendor single-buyer integrated production inventory model with a generalized policy[J].European Journal of Operational Research,2000,125:429-430. 被引量:1

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