On the choice of a demand distribution for inventory management models
On the choice of a demand distribution for inventory management models
复制标题
库存管理模型的需求分布选择
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
G. Janssens
中科院分区：
文献类型：
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作者：
K. Ramaekers;G. Janssens
包含不确定性的库存系统，例如，在需求，成本，提前期，或在供应数量或质量，需要一个再订购点模型的需求的概率分布。在库存控制的文献中，很多时候都是用正态分布或伽玛分布来描述提前期内的需求。泊松分布已被发现提供了一个合理的拟合时，需求非常低。然而，关于概率分布的函数形式的信息在实践中往往是不完整的。例如，可能只有概率分布的一阶矩是已知的。这种不完全信息是一个问题，因为分布的形状对库存控制的性能很重要。一个程序来确定形状特征时，只有前两个时刻的需求分布在提前期是已知的，使用复合泊松分布和皮尔逊图。[收稿日期：2006年8月18日;修订日期：2007年11月15日;接受日期：2008年2月11日]
An inventory system containing uncertainty, e.g., in demand, in costs, in lead time, or in supplied quantity or quality, needs a probability distribution of demand for reorder point models. In the literature on inventory control, many times reference is made to the Normal or Gamma distribution for describing the demand in the lead time. The Poisson distribution has been found to provide a reasonable fit when the demand is very low. However, information about the functional form of the probability distribution is often incomplete in practice. For example, it might be that only the first moments of the probability distribution are known. This incomplete information is a problem as the shape of the distribution is important in terms of the performance of inventory control. A procedure is described to determine shape characteristics when only the first two moments of the distribution of demand during the lead time are known, using a compound Poisson distribution and the Pearson chart. [Received 18 August 2006; Revised 15 November 2007; Accepted 11 February 2008]