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未知需求分布下含数量折扣的可变提前期库存模型 被引量：2

The Inventory Model with Quantity Discounts and Variable Lead Time When Demand Distribution is Unknown
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摘要 针对上游供应链厂商提供数量折扣以及可变提前期的情况,探讨了零售商选择最优提前期和库存策略.将提前期、再订货点以及订货量作为模型的决策变量,并且放松了对提前期内需求服从具体分布的假定,考虑提前期内需求分布未知的情形.利用Minimax方法讨论了最优解的性质,给出了求解算法和数值算例,并分析了允许延期交货比例的变化以及需求波动对最优解和期望总成本的影响. This paper studied the retailer＇s optimal lead time and inventory strategy when the suppliers offer quantity discounts and variable lead time. The lead time, reorder point and order quantity are all considered as decision variables in this model. The studies relax the assumption about the form of the cumulative distribution function of the lead-time demand and apply the Minimax distribution flee procedure to solve the problem. An algorithmic procedure was developed to find the optimal lead time, reorder point and order quantity. Furthermore, the effects of backordering rate and demand variation were studied by numerical analysis.
作者 夏海洋 黄培清
机构地区 上海交通大学安泰经济与管理学院
出处 《上海交通大学学报》 EI CAS CSCD 北大核心 2008年第9期1515-1519,共5页 Journal of Shanghai Jiaotong University
基金 国家自然科学基金资助项目(70772065 70732003)
关键词 可变提前期库存模型 数量折扣 未知需求分布 inventory model with variable leadtime quantity discounts unknown demand distribution
分类号 F253.4 [经济管理—国民经济]
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参考文献8

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同被引文献21

  • 1EYNAN A,KROPP D H.Effective and simple EOQ-like solutions for stochastic demand periodic review systems[J].European Journal of Operation Research,2006,180(3):1135-1143.
  • 2BERA U K,RONG M,MAHAPATRA N K,et al.A multi-item mixture inventory model involving random lead time and demand with budget constraint and surprise function[J].Applied Mathematical Modeling,2009,33(12):4337-4344.
  • 3HANDFIELD R,WARSING D,WU Xin-min.(Q,r)Inventory policies in a fuzzy uncertain supply chain environment[J].European Journal of Operational Research,2009,197(2):609-619.
  • 4KALRO A H,GOHIL M M.A lot-size model with back-logging when amount received is uncertain[J].International Journal of Production Research,1982,20(6):775-786.
  • 5SHAH N H,GOR A S.An integrated economic lot-size model for vendor-buyer inventory system when input is random[J].Mathematical and Computer Modelling,2009,49(7-8):1326-1330.
  • 6DEY O,CHAKRABORTY D.Fuzzy periodic review system with fuzzy random variable demand[J].European Journal of Operational Research,2009,198(1):113-120.
  • 7Alstr0m P. Numerical computation of inventory policies, based on the EOQ/σx value for order-point systems[J]. Int J of Production Economics, 2001, 71(1/3): 235-245.
  • 8Tsou C S. Evolutionary pareto optimizers for continuous review stochastic inventory systems[J]. European J of Operational Research, 2009, 195(2): 364-371.
  • 9Axsater S. A simple decision rule for decentralized two-echelon inventory control[J]. Int J of Production Economics, 2005, 93/94: 53-59.
  • 10Pan J C H, Lo M C, Hsiao Y C. Optimal reorder point inventory models with variable lead time and baekorder discount considerations[J]. European J of Operational Research, 2004, 158(2): 488-505.

引证文献2

上海交通大学学报
2008年 第9期

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