一类变质性物品在考虑货币时间值和通货膨胀率时的最优生产-库存策略

An optimal production-inventory policy for deteriorating items-taking accout of time value of money and inflation

作者在考虑货币时间值和通货膨胀率的情况下,讨论了需求是时间的连续函数、允许缺货且缺货完全回补、变质率为常数、补货率有限的变质性物品在有限计划期内的生产-库存策略,同时证明了最优生产一库存策略的存在唯一性,并给出了求最优策略的算法和算例.

This paper derives a production-inventory model for deteriorating items with the ime-varying demand and shortages during the finite planning horizon, taking accout of time value of money and inflation. We assume that the deteriorating rate is constant and shortages can be completely backlogged. Then a simple solution algorithm is presented to determine the optimal production-inventory policy. And we prove the existence of the optimal production-inventory policy, and present a solution algorithm to obtain it. In the end, a numerical example is given to explain the solution algorithm.