Using optimal control to adjust the production rate of a deteriorating inventory system

被引:5
|
作者
El-Gohary, Awad [1 ]
Tadj, Lotfi [2 ]
Al-Rasheedi, Adel F. [1 ]
机构
[1] King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia
[2] Amer Univ, Sch Business Adm, Dept Management & E Business, Dubai, U Arab Emirates
关键词
Production inventory systems; item deterioration; optimal control; maximum principle; rate adjustment;
D O I
10.1016/S1658-3655(12)60009-0
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This work represents is another contribution to the application of optimal control theory to production inventory systems. We consider a firm that produces some product at a certain rate and aims at improving this rate. We successfully formulated the model as an optimal control problem and obtained an explicit solution using the maximum principle. An illustrative example is provided and the sensitivity of the model to some of the system parameters was addressed.
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页码:69 / 77
页数:9
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