考虑时值及通货膨胀率的多阶段变质性物品最优库存模型  

A Multi-Stage Optimal Inventory Model for Deteriorating Items by Considering Time Value and Inflation Rate

作　　者：王圣东[1] 汪峻萍[2] 

机构地区：[1]解放军电子工程学院数学教研室,安徽合肥230037 [2]合肥工业大学理学院,安徽合肥230009

出　　处：《运筹与管理》2005年第6期142-148,共7页Operations Research and Management Science

基　　金：国家自然基金资助项目(70471045);合肥工业大学校基金资助项目

摘　　要：本文考虑了时值及通货膨胀率下,部分短缺量拖后的变质性物品最优订购问题。在假定变质率为常数和短缺期间损失率与实际缺货量成正比的前提下,给出了寻找最优订购策略的算法,并且证明了在该策略下费用函数取得最小值。最后给出数字实例以说明本模型及求解过程。This paper discusses optimal replenishment problems for a deteriorating item with partial backlog- ging by considering time value and inflation rate. It is assumed that the goods in the inventory deteriorate at a constant rate and the lost rate during the shortage period is proportional to the quantities of the factual backorder. A proposed solution procedure is presented for finding the optimal replenishment policy. We prove that the cost function acquires the minimum under such policy. Numerical examples are shown to illustrate the model and solution procedure.

关 键 词：运筹学 最优库存模型 部分短缺量拖后 通货膨胀率 

分 类 号：O227[理学—运筹学与控制论]