淡江大學機構典藏:Item 987654321/20696
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/20696


    Title: A note on defective units in an inventory model with sub-lot sampling inspection for variable lead-time demand with the mixture of free distributions
    Authors: 吳忠武;Wu, Jong-wuu;Lee, Wen-Chuan;Tsai, Hui-yin
    Contributors: 淡江大學統計學系
    Keywords: Inventory;lead-time;mixed distributions;sub-lot sampling
    Date: 2004-05
    Issue Date: 2009-11-30 12:56:53 (UTC+8)
    Publisher: Wiley-Blackwell
    Abstract: In a recent paper Wu and Ouyang (2000) assumed that an arriving order lot may contain some defective items and considered that the number of defective items in the sub-lot sampled to be a random variable. They derived a modified mixture inventory model with backorders and lost sales, in which the order quantity, re-order point, and the lead-time were decision variables. In their studies they assumed that the lead-time demand followed a normal distribution for the first model and relaxed the assumption about the form of the distribution function of the lead-time demand for the second model. When the demand of the different customers is not identical with regard to the lead-time, then one cannot use only a single distribution (such as Wu and Ouyang (2000)) to describe the demand of the lead-time. Hence, we extend and correct the model of Wu and Ouyang (2000) by considering the lead-time demand with the mixed normal distributions (see Everitt and Hand (1981), and Wu and Tsai (2001)) for the first model and the lead-time demand with the mixed distributions for the second model. And we also apply the minimax mixed distributions free approach to the second model. Moreover, we also develop an algorithm procedure to obtain the optimal ordering strategy for each case.
    Relation: International Transactions in Operational Research 11(3), pp.341-359
    DOI: 10.1111/j.1475-3995.2004.00462.x
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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