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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2017 Volume 57, Number 1, Pages 81–93 (Mi zvmmf10509)

A model of the direct interaction of elements of a tightly coupled system

I. F. Shakhnov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia

Abstract: A maximin mathematical model describing the process of changing the quality indicators of products manufactured by facilities of a complex production system interconnected by multiple feedbacks is considered. Necessary and sufficient conditions for the monotone growth of these indicators are found. For the proposed new technologies utilized on some of these facilities, consistency conditions with the technologies used on other facilities are determined. For finding the optimal control of this process, it is recommended to use parallel computations.

Key words: direct interaction model, technologies, consistency, quality, import substitution, feedback, graph, tight coupling, circuit weight.

UDC: 519.61

Received: 26.04.2016

DOI: 10.7868/S0044466916110132


 English version:
Computational Mathematics and Mathematical Physics, 2017, 57:1, 94–105

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© Steklov Math. Inst. of RAS, 2026