时变拖后供给的易变质品生产库存模型

A Production-inventory Model for a Perishable Products with Time-dependent Partial Backlogging

蔬菜、水果和生鲜食品等物品在存储的过程中,随时间的推移会发生大量的损耗,损耗成本不容忽视。文章建立以需求率、生产率和产品损耗率为常数,允许缺货但缺货部分时变拖后供给的生产库存模型,给出了寻求最优解的方法和解的唯一性的证明,并分析了主要参数变化对平均利润和服务率的影响。

In this paper, we present a method for finding the optimal replenishment schedule for the production lot size model with perishable products on the condition that we satisfy the consumer at that time first and satisfy the demand backlogging, where demand rate, production rate and deteriorating rate are constant. We propose the method for finding the solution and generalize the presented model. A sensitivity analysis of the optimal solution with respect to parameters of the system is carried out.