基于随机补货间隔和非线性变质率的易腐商品补货模型

研究了一类需求率随价格变动、有一定保鲜期的易变质商品的随机补货间隔的多周期补货策略.变质率是非线性的时变函数,补货间隔是随机变量.针对补货间隔的密度函数是一个区间上的均匀分布情形,构建了以补货水平为决策变量的补货优化模型,利用Matlab求出极值优化解.并给出了算例和补货间隔的灵敏度分析.算例表明由于商品存在保鲜期,保鲜期后有变质损失,取最优解时经常会出现商品有出空现象,为了提高顾客需求满足率,可以缩短补货间隔,减少商品空缺期.该模型为配送中心的配货决策和商场的补货策略提供了一种决策方法.

Optimal Stock Replenishment Model of Perishable Merchandise Based on Stochastic Replenishment Intervals and Nonlinear Deteriorating Rate

A set of multi-cycle stock replenishment strategies of perishable merchandise with price-varying demands was researched.The deteriorating rate is a nonlinear time-varying function and the replenishment interval is a random variable,whose density function is evenly distributed at intervals.An optimal replenishment model with replenishment level as the decision-making variable was constructed.Matlab was utilized to seek the extremum optimization solution.An example was given and sensitivity of the replenishment intervals was analyzed.The example showed that because goods tend to deteriorate,stock-out often occurs.In order to avoid this from happening,the replenishment intervals can be shortened to reduce commodity vacancy periods.In sum,this model provides a decision-making method for goods delivery of distribution centers and stock replenishment of supermarkets.