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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2013 Issue 42, Pages 273–285 (Mi ubs671)

Control in Technology and Process Control

Solving optimization problems in chemical reactions

I. L. Maikov, V. Zaitchenko

Joint Institute for High Temperatures of RAS

Abstract: An algorithm for solving optimization problems of chemical kinetics on the basis of Hooke and Jeeves, which uses a one-dimensional minimization along coordinate directions. The algorithm consists of two types of search – exploring search and pattern-matching search with restrictions. The one-dimensional optimization algorithm is based on the Brent’s algorithm. To calculate the objective function a system of stiff differential equations is solved with DIFSUB algorithm

Keywords: mathematical modeling, optimization, chemical kinetics, nonlinear programming, methods of retrieval.

UDC: 021.8 + 025.1
BBK: 78.34



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