An EOQ model with generalized ramp-type demand and Weibull distribution deterioration

被引:21
|
作者
Panda, S.
Saha, S.
Basu, M.
机构
[1] Bengal Inst Technol, Dept Math, Kolkata 700150, W Bengal, India
[2] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India
关键词
inventory; ramp-type demand; deterioration; shortage;
D O I
10.1142/S0217595907001152
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
An inventory model is discussed with generalized ramp-type demand where the time to deterioration follows Weibull distribution. Shortages of inventories are allowed and completely backlogged. Total cost is derived by trading off setup cost, holding cost, deterioration cost, and shortage cost. The optimal replenishment policy for a single period is derived by minimizing the total cost per unit time over infinite time horizon. A numerical example is presented and sensitivity analysis is also carried out. The rationale for generalized ramp-type demand is discussed.
引用
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页码:93 / 109
页数:17
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