An optimal ordering policy for situations with uncertainty in supply

An optimal ordering policy for situations with uncertainty in supply
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DOI:
10.1002/1520-6750(198704)34:2
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发表时间:
1987-04
影响因子:
2.3
通讯作者:
S. Basu
S. Basu
中科院分区:
管理学4区
文献类型:
--
作者:
S. Basu

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考虑了一个单周期库存模型,其中供应是一个随机变量,其平均值与订购数量成正比。在供给变量的期望假设下,提出了一种最小利润最大化的策略。当(客户)需求分布未知时,对该最大订单数量的估计已经提出,并且随着样本量的增加,该估计几乎肯定收敛于其真实值。
A one-period inventory model where supply is a random variable with mean proportional to the quantity ordered has been considered. Under new better than used in expectation assumption on the supply variable, a strategy which maximizes a minimum profit has been suggested. An estimate for this maximin order quantity whenever the (customer) demand distribution is unknown has been proposed and almost sure convergence of this estimate to its true value with increasing sample size has been established.