Inventory models with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages

被引:31
|
作者
Skouri, K. [2 ]
Konstantaras, I. [1 ]
Manna, S. K. [3 ]
Chaudhuri, K. S. [4 ]
机构
[1] Univ Macedonia, Dept Business Adm, Thessaloniki, Greece
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
[3] Narasinha Dutt Coll, Dept Math, Howrah, India
[4] Jadavpur Univ, Dept Math, Jadavpur, India
关键词
Inventory; Ramp type demand; Deteriorating items; Unit production cost; EOQ MODEL; REPLENISHMENT POLICY; LINEAR TREND;
D O I
10.1007/s10479-011-0984-2
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
Manna and Chaudhuri (Eur. J. Oper. Res. 171(2):557-566, 2006) presented a production-inventory system for deteriorating items with demand rate being a linearly ramp type function of time and production rate being proportional to the demand rate. The two models without shortages and with shortages were discussed. Both models were studied assuming that the time point at which the demand is stabilized occurs before the production stopping time. In this paper, we complete this model by considering that: (a) for the model with no shortages; the demand rate is stabilized after the production stopping time and (b) for the model with shortages; the demand rate is stabilized after the production stopping time or after the time when the inventory level reaches zero or after the production restarting time. In addition, we extend the work of Manna and Chaudhuri (Eur. J. Oper. Res. 171(2):557-566, 2006) assuming a general function of time for the variable part of the demand rate.
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页码:73 / 95
页数:23
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