Optimal Control Applications in the Study of Production Management

被引：6

作者：

Popescu, L. ^{[1
]}

Militaru, N. D. ^{[2
]}

Mituca, O. M. ^{[3
]}

机构：

[1] Univ Craiova, Fac Econ & Business Adm, Dept Stat & Econ Informat, Al I Cuza St 13, Craiova 200585, Romania

[2] Univ Craiova, Al I Cuza St 13, Craiova 200585, Romania

[3] Acad Econ Studies, Piata Romana 6, Bucharest 010374, Romania

来源：

INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL | 2020年 / 15卷 / 02期

关键词：

optimal control; automatic control; controllability; production management; Pontryagin; Maximum Principle; Lie algebra; INVENTORY; SYSTEMS; MODEL;

D O I：

10.15837/ijccc.2020.2.3859

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A mathematical model for an economic problem of production management is proposed. The continuous optimal control problem is solved, by using the Pontryagin Maximum Principle at the level of a new space, called Lie algebroid. The controllability of the economic system is studied by using Lie geometric methods and involves restrictions on the final stock quantities. Finally, a numerical application is given.

引用

页数：10

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