An inventory model under price and stock dependent demand for controllable deterioration rate with shortages and preservation technology investment

被引：124
|
作者：
Mishra, Umakanta [1 ]
Cardenas-Barron, Leopoldo Eduardo [2 ]
Tiwari, Sunil [3 ]
Shaikh, Ali Akbar [2 ]
Trevino-Garza, Gerardo [4 ]
机构：
[1] ICFAI Univ, Fac Sci & Technol, West Tripura 799210, Tripura, India
[2] Tecnol Monterrey, Sch Engn & Sci, E Garza Sada 2501 Sur, Nuevo 64849, Leon, Mexico
[3] Univ Delhi, Fac Math Sci, Dept Operat Res, New Acad Block, Delhi 110007, India
[4] BNSF Railway Co, 2400 Western Centern Blvd, Ft Worth, TX USA
来源：
ANNALS OF OPERATIONS RESEARCH | 2017年 / 254卷 / 1-2期
关键词：
Controllable deterioration rate; Price and stock dependent demand; Preservation technology investment; EOQ MODEL; REPLENISHMENT POLICY; PERMISSIBLE DELAY; ORDERING POLICY; LINEAR TREND; INFLATION; SYSTEM; QUANTITY; COST;
D O I：
10.1007/s10479-017-2419-1
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：
This paper develops an EOQ inventory model that considers the demand rate as a function of stock and selling price. Shortages are permitted and two cases are studied: (i) complete backordering and (ii) partial backordering. The inventory model is for a deteriorating seasonal product. The product's deterioration rate is controlled by investing in the preservation technology. The main purpose of the inventory model is to determine the optimum selling price, ordering frequency and preservation technology investment that maximizes the total profit. Additionally, the paper proves that the total profit is a concave function of selling price, ordering frequency and preservation technology investment. Therefore, a simple algorithm is proposed to obtain the optimal values for the decision variables. Several numerical examples are solved and studied along with a sensitivity analysis.
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页码：165 / 190
页数：26
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