三种可替代的Newsboy型产品最优订购模型

经典的报童(Newsboy)问题是在单周期内,商品的需求量是随机状态下,寻找一种商品订购数量,使系统预期利润最大.本文主要研究三种商品的相互替换问题:首先,我们建立三种商品相互替换的模型,根据实际的库存与缺货状况,将其分为八种情况,并求出这八种情况下利润函数,得到整个过程的总利润函数;最后,结合应用实例给出最优的数值解.

Optimal Ordering Model for Three Kinds of Newsboy-type Products

The classical newsboy inventory problem is to find a product order quantity that maximizing expected total profit in a single cycle while the demand is random.In this paper,we mainly study the substitutability of three commodities.First,we establish a model in which three kinds of commodities mutually substitutability;Secondly,according to the actual condition with inventory and lack,we can divide it into eight kinds of situations,derive the profit of inventory and lacks in these eight kinds of situations,and obtain the total profit;Finally,giving the value computation combine with examples.