Application of maximum principle to optimization of production and storage costs

• Autorzy: Popescu Liviu , Dimitrov Ramona

Identyfikatory

DOI

10.24425/acs.2021.139734

• Języki publikacji: EN

Abstrakty

EN

A problem of optimization for production and storge costs is studied. The problem consists in manufacture of n types of products, with some given restrictions, so that the total production and storage costs are minimal. The mathematical model is built using the framework of driftless control affine systems. Controllability is studied using Lie geometric methods and the optimal solution is obtained with Pontryagin Maximum Principle. It is proved that the economical system is not controllable, in the sense that we can only produce a certain quantity of products. Finally, some numerical examples are given with graphical representation.

Słowa kluczowe

EN

optimal control; Pontryagin Maximum Principle; controllability; production; storage

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 4
• Strony: 865--881
• Opis fizyczny: Bibliogr. 30 poz., rys., wzory

Twórcy

autor

Popescu Liviu

• University of Craiova, Faculty of Economics and Business Administration Department of Statistics and Economic Informatics, Al. I. Cuza st., No. 13, Craiova 200585, Romania

autor

Dimitrov Ramona

• University of Craiova, Faculty of Economics and Business Administration Department of Statistics and Economic Informatics, Al. I. Cuza st., No. 13, Craiova 200585, Romania

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Uwagi

1. This work was supported by the grant POCU380/6/13/123990, co-financed by the European Social Fund within the Sectorial Operational Program Human Capital 2014-2020.

2. Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).