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Single-Period Two-Product Inventory Model with Substitution and Information Updating

机译：带有替代和信息更新的单周期两产品库存模型

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摘要

In this paper, we study a single-period two-product inventory model with stochastic demands, downward substitution, and information updating. The downward substitution is that demands of a lower class product can be satisfied by using the stocks of products of higher class. We consider the case that the retailer could place his order twice before the demands are realized. In view of the added value of information, the retailer will continue to collect the information of demands after he places the first order, and update the initial forecast, and then place the second order to adapt the changing environment. A general profit maximization model is built to describe this case. Then we prove that the objective function of the problem is concave with respect to the order quantities of the first order. Finally, we present some computational results to show that the information can improve the retailer's profit.
机译：在本文中，我们研究了具有随机需求，向下替代和信息更新的单周期两产品库存模型。向下替代是通过使用高级产品的库存来满足低级产品的需求。我们考虑了这样的情况，零售商可以在需求实现之前两次下订单。考虑到信息的附加值，零售商将在下第一笔订单后继续收集需求信息，并更新初始预测，然后下第二笔订单以适应不断变化的环境。建立了一个一般的利润最大化模型来描述这种情况。然后我们证明问题的目标函数相对于一阶的阶数是凹的。最后，我们给出一些计算结果，以表明该信息可以提高零售商的利润。

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