An inventory model for deteriorating items under stock-dependent demand and controllable deterioration rate

被引:158
作者
Lee, Yu-Ping [2 ]
Dye, Chung-Yuan [1 ]
机构
[1] Shu Te Univ, Grad Sch Business & Adm, Kaohsiung 82445, Taiwan
[2] Shu Te Univ, Dept Business & Adm, Kaohsiung 82445, Taiwan
关键词
Inventory; Stock-dependent demand; Deterioration; Partial backlogging; Preservation technology investment; SELLING RATE; EOQ MODELS; CONSUMPTION RATE; HOLDING COST; LOT-SIZE; LEVEL; INFLATION; POLICY;
D O I
10.1016/j.cie.2012.04.006
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we formulate a deteriorating inventory model with stock-dependent demand by allowing preservation technology cost as a decision variable in conjunction with replacement policy. Moreover, it is assumed that the shortages are allowed and partially backlogged, depending on the length of the waiting time for the next replenishment. The objective is to find the optimal replenishment and preservation technology investment strategies while maximizing the total profit per unit time. For any given preservation technology cost, we first prove that the optimal replenishment schedule not only exists but is unique. Next, we show that the total profit per unit time is a concave function of preservation technology cost when the replenishment schedule is given. We then provide a simple algorithm to find the optimal preservation technology cost and replenishment schedule for the proposed model. Finally, we use some numerical examples to illustrate the model. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:474 / 482
页数:9
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