Uncertain random newsboy problem
Uncertain random newsboy problem
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DOI：
10.3233/ifs-130919
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Sibo Ding
中科院分区：
文献类型：
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作者：
Sibo Ding
经典报童问题假设市场需求是一个随机变量。然而，当决策者想要扩大市场份额时，由于缺乏历史数据，他不得不提供对新的市场需求分布的主观估计。因此，随机性和不确定性同时出现在报童问题中。本文的目的是将经典报童问题的分析推广到市场需求为不确定随机变量的情形。建立了一个数学模型，并推导出一个简单的方程，用于确定最优订货量，以最大化期望利润。此外，将不确定随机报童问题与随机报童问题和不确定报童问题进行了比较。三类报童问题具有相同的最优服务水平。后两个报童问题是不确定随机报童问题的两个特例。最后，给出了一个数值例子来说明该模型.
The classic newsboy problem assumes the market demand to be a random variable. However, when the decision maker wants to expand the market share, he has to provide a subjective estimate of new market demand distribution due to the lack of historical data. Thus, randomness and uncertainty simultaneously appear in a newsboy problem. The aim of this work is to extend the analysis of the classic newsboy problem to the case when market demand is assumed to be an uncertain random variable. A mathematical model is formulated, and a simple equation is derived for determining the optimal order quantity to maximize the expected profit. Furthermore, uncertain random newsboy problem is compared with stochastic newsboy problem and uncertain newsboy problem. Three kinds of newsboy problems have the same optimal service level. The latter two newsboy problems are two special cases of uncertain random newsboy problem. Finally, a numerical example has been presented to illustrate the model.