Dynamical system approach to solving linear programming problems and applications in economic modelling

• Published in: Нелінійні коливання
• Date: 2002
• Main Authors: Tverdokhlib, I.P., Prykarpatsky, O.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2002
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/175830
• 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.

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...