Distribution-Free Approach for a Fixed Quantity Model with Reorder Point

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  • 発注点方式における在庫管理モデルのDistribution Free Approachによる解法
  • ハッチュウテン ホウシキ ニ オケル ザイコ カンリ モデル ノ Distribution free approach ニ ヨル カイホウ

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Abstract

Stochastic inventory models require information on the lead-time demand. However, information about the form of the probability distribution of the lead-time demand is often limited in practice. Sometimes all that is available is an educated guess of the mean and variance. There is a tendency to use the normal distribution under these conditions. However, the normal distribution does not provide the best protection against the occurrence of other distributions with the same mean and varianve. On the other hand, there is distribution-free approach that consists of finding the most unfavourable lead-time demand distribution for each decision variable and then minimizing over the decision variable. In this paper, we consider a fixed reorder quantity model in which allowable inventory at the end of a term is added to the model with a mixture of backorders and lost sales presented by Montgomery et al., and solve this model using the distribution-free approach.

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