随机需求下缺货延期补给的易变质产品的库存策略  

Stock Replenishment under Stochastic Demand Extension of Perishable Products Inventory Strategy

作　　者：何荣福[1] 兰德新[1] 赵萌[1] 

机构地区：[1]武夷学院数学与计算机系,福建武夷山354300

出　　处：《武夷学院学报》2011年第5期4-8,共5页Journal of Wuyi University

基　　金：福建教育厅科技基金资助项目(JA10269)

摘　　要：我们考虑需求率为随机波动函数且依赖于产品销售价格,当产品销售价格p固定;允许缺货,缺货部分延期供给,拖后率是β(t)=e-kt,k>0,t是等待时间时。研究了单一易变质产品的最优订购策略。采用周期盘点的(T,S)库存策略,即每隔相同的订购周期时长T,将库存水平补充到S,在不考虑固定订购成本及订购提前期的前提下,短缺量部分延期供给,建立了库存模型。利用连续函数性质和泰勒展开分析了易变质产品最优订购策略的求解方法,给出算例并进行仿真,得到了问题的近似最优解。We consider the random fluctuations in the demand function and the rate demands on the product sales price,sales price as firxed;allowed out of stock,deferred stock parts supply,delayed the rate is,the waiting time.perishable products of a single optimal order strategy.The use of cycle count （T,S）inventory policy,namely the same order every cycle time T will be added to the inventory level of S, without considering the fixed ordering cost and order lead time under the premise of some extension of the supply shortfaU,established inventory model.Continuous function of the nature and Talor use to analyze the optimal order of perishable product strategy, solving methods, and simulation examples are given,the problem has been the approximate optimal solution.

关 键 词：随机需求 拖后率 (T S)库存策略 库存模型 

分 类 号：O227[理学—运筹学与控制论]