A comparison between linear programming model and optimal control model of production-inventory system

被引：2
|
作者：
Dhaiban, Ali Khaleel [1 ]
机构：
[1] Minist Higher Educ & Sci Res, Apparat Supervis & Sci Evaluat, Baghdad, Iraq
来源：
CURRENT SCIENCE | 2017年 / 112卷 / 09期
关键词：
Boundary value problem; deteriorating items; linear programming; optimal control; production-inventory system; DETERIORATING ITEM;
D O I：
10.18520/cs/v112/i09/1855-1863
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 study compares two models of the production-inventory system -optimal control and linear programming. We derived the optimality conditions of optimal control model and formulated the linear programming model. A new method to determine the theoretical solution of the boundary value problem has been suggested. Our numerical results suggest that control on the inventory level was realized at the end of the planning period, depending on the optimal control model, while in the linear programming model, it was realized from the beginning of the planning period. Also, the method to determine the theoretical solution of the boundary value problem has proven to be efficient.
引用
收藏
页码：1855 / 1863
页数：9
相关论文
共 50 条
  • [1] Optimal Control Model of Production-Inventory System
    Prazak, Pavel
    [J]. MATHEMATICAL METHODS IN ECONOMICS (MME 2014), 2014, : 825 - 830
  • [2] The Optimal Control of Production-Inventory System
    Fu Yi
    Bian Baojun
    Zhang Jizhou
    [J]. 2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 4571 - 4576
  • [3] Modification of production-inventory control model with quadratic and linear costs
    Segic, Mirjana Rakamaric
    Marinovic, Marija
    Potokar, Marko
    [J]. SOR'07: PROCEEDINGS OF THE 9TH INTERNATIONAL SYMPOSIUM ON OPERATIONAL RESEARCH IN SLOVENIA, 2007, : 369 - +
  • [4] OPTIMAL LINEAR-CONTROL OF LINEAR PRODUCTION-INVENTORY SYSTEMS
    GAALMAN, GJ
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1976, 7 (09) : 1005 - 1015
  • [5] Application of Robustified Model Predictive Control to a Production-Inventory System
    Stoica, C.
    Arahal, M. R.
    Rivera, D. E.
    Rodriguez-Ayerbe, P.
    Dumur, D.
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 3993 - 3998
  • [6] A delayed optimal control model for multi-stage production-inventory system with production lead times
    Pooya, Alireza
    Pakdaman, Morteza
    [J]. INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2018, 94 (1-4): : 751 - 761
  • [7] A delayed optimal control model for multi-stage production-inventory system with production lead times
    Alireza Pooya
    Morteza Pakdaman
    [J]. The International Journal of Advanced Manufacturing Technology, 2018, 94 : 751 - 761
  • [8] Optimal control of a production-inventory system with product returns
    Vercraene, Samuel
    Gayon, Jean-Philippe
    [J]. INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 2013, 142 (02) : 302 - 310
  • [9] Optimal control of a production-inventory system with customer impatience
    Benjaafar, Saif
    Gayon, Jean-Philippe
    Tepe, Seda
    [J]. OPERATIONS RESEARCH LETTERS, 2010, 38 (04) : 267 - 272
  • [10] A composite model in the context of a production-inventory system
    Sharma, Sanjay
    [J]. OPTIMIZATION LETTERS, 2009, 3 (02) : 239 - 251
12345