An Integer Optimal Control Model of Production-Inventory System

The optimal control model of the production-inventory system has investigated in several past studies, but without taking into account the integer condition. This study suggested a new approach to find the integer solution of production-inventory control model under periodic review policy. A new app...

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Bibliographic Details
Main Author: Dhaiban, A.K (Author)
Format: Article
Language:English
Published: International Academic Press 2022
Subjects:
Online Access:View Fulltext in Publisher
LEADER 01643nam a2200181Ia 4500
001 10.19139-soic-2310-5070-747
008 220718s2022 CNT 000 0 und d
020 |a 2311004X (ISSN) 
245 1 0 |a An Integer Optimal Control Model of Production-Inventory System 
260 0 |b International Academic Press  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.19139/soic-2310-5070-747 
520 3 |a The optimal control model of the production-inventory system has investigated in several past studies, but without taking into account the integer condition. This study suggested a new approach to find the integer solution of production-inventory control model under periodic review policy. A new approach is based on the modified some equations of Pontryagin maximum principle that used to find the solution of the non-integer model. Our numerical results showed the efficiency of the new approach by saving the paths of inventory level and production rate up to reach its goals over time. The total penalty costs of the model were the same, despite a difference in the values of initial inventory level. Also, we testified a new approach by formulating the quadratic programming problem of the production-inventory system. The solution was the same for the two problems; quadratic programming and new approach. Copyright © 2022 International Academic Press 
650 0 4 |a Deteriorating items 
650 0 4 |a Integer optimal control 
650 0 4 |a Periodic review policy 
650 0 4 |a Production-inventory system 
700 1 |a Dhaiban, A.K.  |e author 
773 |t Statistics, Optimization and Information Computing  |x 2311004X (ISSN)  |g 10 3, 762-774