Inventory Model with Exponential Time-Dependent Demand Rate, Variable Deterioration, Shortages and Production Cost

被引：0
|
作者：
Tripathi R.P. [1 ]
Pareek S. [2 ]
Kaur M. [2 ]
机构：
[1] Department of Mathematics, Graphic Era University, Dehradun, Uttarakhand
[2] Department of Mathematics, Banasthali Vidhiyapeeth, Vanasthali, Rajasthan
来源：
International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 2期
关键词：
Deterioration; Exponential demand; Inventory; Production; Ramp type; Shortage;
D O I：
10.1007/s40819-016-0185-4
中图分类号：
学科分类号：
摘要：
In the past few decade researches have developed their EOQ models under constant deterioration and constant demand. However, it is not true in actual practice. In this paper, we have established inventory model with exponential time-dependent demand and time- dependent time-dependent deterioration. Shortages are allowed. The demand rate and unit production cost both are considered as proportional to each other. Mathematical formulation is developed considering two different models that is Model 1: Inventory model without shortages and Model 2: Inventory model with shortages. Numerical examples are provided for both the models. Sensitivity analysis is provided to study effect of different parameters on total average cost for inventory system. © 2016, Springer India Pvt. Ltd.
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收藏
页码：1407 / 1419
页数：12
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