Bicriteria optimization in the newsvendor problem with uniformly distributed demand
Bicriteria optimization in the newsvendor problem with uniformly distributed demand
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DOI：
10.1007/s10288-012-0208-x
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发表时间：
2012-07
期刊：
影响因子：
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通讯作者：
F. Arcelus;Satyendra Kumar;G. Srinivasan
中科院分区：
文献类型：
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作者：
F. Arcelus;Satyendra Kumar;G. Srinivasan
本文分析了零售商在期望利润最大化和超过期望利润的概率相冲突的情况下的双准则决策报童问题，得到了需求均匀分布的封闭解。这是通过使用第二个标准的封闭形式的解决方案的存在，以达到解决双准则问题。决策变量仍然是传统的订单数量，旨在满足不确定的需求，但没有解决方案，同时最大化每个目标。对最优性的搜索简化为参数之间的简单比较和临界权重的估计。整个文件中使用的数值例子，以突出的解决方案的性质，并说明的双准则问题的各个元素的关键属性。
This paper analytically addresses the Bicriteria decision newsvendor problem of a retailer with the conflicting goals of maximizing the expected profit and the probability of exceeding it and obtains a closed form solution for a uniformly distributed demand. This is done by using the existence of a closed form solution for the second criterion to arrive at the solution for the Bicriteria problem. The decision variable remains the traditional order quantity intended to satisfy an uncertain demand, but there is no solution that maximizes each goal simultaneously. The search for optimality reduces to simple comparisons between parameters and the estimation of a critical weight. A numerical example is used throughout the paper to highlight the nature of the solutions and to illustrate the key properties of the various elements of the Bicriteria problem.