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基于随机补货间隔期的库存控制优化模型及算法
引用本文:戢守峰,曹楚,黄小原.基于随机补货间隔期的库存控制优化模型及算法[J].系统工程,2006,24(4):17-20.
作者姓名:戢守峰  曹楚  黄小原
作者单位:东北大学,工商管理学院,辽宁,沈阳,110004
摘    要:研究补货间隔期不受零售商控制情况下的多周期库存优化问题。在假设允许缺货、补货间隔期是独立同分布的随机变量的前提下,给出了补货间隔期服从一般分布的预期利润函数,通过确定最优补货量来有效地控制库存。在此基础上,又分析了补货间隔期服从两种特殊分布情况,并给出了算例。

关 键 词:最大补货库存控制  随机补货间隔期  允许缺货  特殊分布
文章编号:1001-4098(2006)04-0017-04
收稿时间:2006-02-03
修稿时间:2006-02-032006-03-20

Inventory Control Optimize Model and Arithmetic Based on Stochastic Replenishment Intervals
JI Shou-feng,CAO Chu,HUANG Xiao-yuan.Inventory Control Optimize Model and Arithmetic Based on Stochastic Replenishment Intervals[J].Systems Engineering,2006,24(4):17-20.
Authors:JI Shou-feng  CAO Chu  HUANG Xiao-yuan
Institution:School of Business Administration, Northeastern University, Shenyang 110004,China
Abstract:This paper studies the multi-period inventory problems and gives the condition that replenishment intervals(aren't) controlled by the retailers.The replenishment intervals are taken to be i.i.d.variables and the backorders are allowed.In this setting the concavity of the expected profit function under general distribution between replenishment epochs is showed.And the stock level brings effectively controlled by the optimal replenishment-up-to-level being obtained.On the base of it,this paper also analyses under two specific distributions, namely,uniform and exponential distributions,together with some numerical examples.
Keywords:Replenishment-up-to Inventory Control  Stochastic Replenishment Intervals  Backorder is Allowed  Specific Distribution
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