Dynamical system approach to solving linear programming problems and applications in economic modelling
A class of dynamycal systems on symplectic manifolds solving linear programming problems is described. The structure of orbit space is analyzed in the framework of the Marsden – Weinstein reduction scheme. Some examples having applications in modern macro-economical modelling are treated in deta...
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| Published in: | Нелінійні коливання |
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| Date: | 2002 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2002
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/174921 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Dynamical system approach to solving linear programming problems and applications in economic modelling / I.P. Tverdokhlib, O.A. Prykarpatsky // Нелінійні коливання. — 2002. — Т. 5, № 1. — С. 117-122. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | A class of dynamycal systems on symplectic manifolds solving linear programming problems is described.
The structure of orbit space is analyzed in the framework of the Marsden – Weinstein reduction scheme.
Some examples having applications in modern macro-economical modelling are treated in detail.
Описано клас динамiчних систем на симплектичному многовидi, що розв’язують задачi лiнiйного програмування. Проведено аналiз простору орбiт з точки зору принципу редукцiї Марсдена
i Вайнштейна. Детально розглянуто приклади застосувань у моделюваннi сучасних макроекономiчних процесiв.
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| ISSN: | 1562-3076 |