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Article information
2009 , Volume 14, ¹ 1, p.67-79
Epifanov S.P., Zorkaltsev V.I.
Application of duality theory to the flow distribution models
The paper presents facts of the symmetric duality theory for solving the minimization problems for the separable convex function with linear constraints [1--3]. These facts are used to specify a set of requirements for the functions that determine interrelations between pressure drop and flow rates in individual branches of hydraulic circuits and to prove the existence and the uniqueness of solution of the flow distribution problem, and to study properties and interrelations of three formulations of the flow distribution problem treated as a system of equations along with two mutually dual optimization problems.
[full text]
Keywords: model and problems of flow distribution, symmetric duality, systems of equations, mutually dual optimization problems
Author(s):
Epifanov Sergey Petrovich
PhD.
Position: Research Scientist
Office: Institute of Energy Systems of SB RAS
Address: Russia, Irkutsk, Lermontov street, 130, P.O. Box 1274
Phone Office: (3952) 42 35 28
E-mail: epifanov@isem.sei.irk.ru
Zorkaltsev Valery Ivanovich
Dr. , Professor
Position: General Scientist
Office: Institute of Energy Systems of SB RAS
Address: 664033, Russia, Irkutsk, Lermontov street, 130
Phone Office: (3952) 42 88 27
E-mail: zork@isem.irk.ru
SPIN-code: 9870-2893
Bibliography link:
Epifanov S.P., Zorkaltsev V.I. Application of duality theory to the flow distribution models // Computational technologies. 2009. V. 14. ¹ 1. P. 67-79
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