Periodic Review Inventory Models with Controllable Lead Time and Lost Sales Rate Reduction

可控制前置時間降和低銷售損失率的週期檢查存貨模型

10.29977/JCIIE.200509.0001

歐陽良裕(Liang-Yuh Ouyang)；莊博仁(Bor-Ren Chuang)；林裕仁(Yu-Jen Lin)

存貨 ； 檢查週期 ； 銷售損失率 ； 趕工成本 ； 大中取小分配不拘程序 ； inventory ； periodic review ； lost sales rate ； crashing cost ； minimax distribution free procedure

工業工程學刊

22卷5期（2005 / 09 / 01）

355 - 368

英文

本文的目的是研究受前置時間與銷售損失率影響的隨機性週期檢查存貨模型。在模型中，我們考慮經由增加趕工成本來縮短前置時間：並且，考慮投資資金來降低銷售損失率。其目的是同時最佳化週期檢查長度、銷售損失率和前置時間。我們首先假設在保護期間內的需求量服從常態分配。接著，放寬此假設，考慮分配不拘的情況，僅假設已知保護期間內需求量的平均數與標準差。對以上兩種分配情形，各自建立一個演算法以找出最適的投資策略，並且提出兩個數值範例說明求解過程。

The purpose of this study is to investigate two stochastic periodic review inventory models affected by the lead time and lost sales rate. In our models, we consider that the lead time can be shortened at an extra crashing cost, which depends on the length of lead time. Moreover, we assume that the lost sales rate can also be reduced by capital investment. The objective of our study is to simultaneously optimize the review period, the lost sales rate and the lead time. We first assume that the protection interval (i.e., review period plus lead time) demand follows a normal distribution. Then, the assumption is relaxed to consider a distribution-free case where only the mean and standard deviation of protected interval demand arc known. For each case, an algorithm is developed to find the optimal investment strategy. Finally, two numerical examples are given to illustrate the results.

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