易变质商品随机补货间隔的补到水平存贮控制策略

多阶段存贮问题一般在两种假定下研究,按照存货状况在任何时刻订货的连续查看假定和订货仅在离散时刻着手的周期查看假定.笔者在不同于以上两个假定条件下研究多阶段存贮问题,周期补货但补货间隔取为连续型随机变量.这种背景代表这样的现实生活,供应者拜访零售商在一个时间段内的随机时刻,而零售商按照一个固定的补到水平控制策略补足库存.认为仅有一部分未满足需求被补订,其余的销售机会则丢失.最后,假定商品易变质,且变质率是常数.然后求出了使利润数学期望值最大化的最优存贮水平的条件方程式,为实际补到水平控制提供依据.

Control Policy of Stock Replenishment Level for Randomly Replenished Perishable Goods

Generally the problem of multiphase stock replenishment was studied with two assumptions,i.e.,take inventory continuously to examine the whole quantity ordered at any time and take inventory cyclically to examine the quantity just ordered discretely.Differing from the two assumptions,the problem is studied further taking the replenishing interval as a continuous random variable in cyclical replenishment.This assumption reflects the real life that supplier usually visits a retailer randomly in a definite interval and the retailer shall replenish his stocks in accordance to the policy to control the replenishment up to a constant level.It is therefore deemed that only part of the unmet demand is backordered and the rest will lose the opportunity for selling.As a result,assuming that all the goods are perishable and their deteriorating rate is constant,a conditional equation of optimal stock level is given to maximize the mathematical expectation value of profit.It provides a reference for how to control actually the replenishment level.