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Upravlenie Bol'shimi Sistemami, 2010, Issue 30.1, , Pages 76–90 (Mi ubs489)  

Mathematics of networks

Dual network models of large-scale systems

A. Petrov

Moscow State Mining University
References:
Abstract: The tensor method of dual networks was developed to calculate changes of processes in large-scale systems caused by changes in the structure of links. Dual networks are constructed as dual graphs, and have an invariant of structural transformations. The dual invariant has fundamental character that turns up in the form of the law of preservation of a stream of energy. The invariant provides methods to calculate chains and network models of large-scale systems of variable structure, including network models of economic systems. This paper describes the method and its applications for simulation of a product flow network and a dual network of cash flows.
Keywords: processes and structure modeling, economics, tensor method, dual networks, sustainable development, invariant, product and cash flows.
Document Type: Article
UDC: 007.5 + 519.86
BBC: 32.817
Language: Russian
Citation: A. Petrov, “Dual network models of large-scale systems”, UBS, 30.1 (2010), 76–90
Citation in format AMSBIB
\Bibitem{Pet10}
\by A.~Petrov
\paper Dual network models of large-scale systems
\jour UBS
\yr 2010
\vol 30.1
\pages 76--90
\mathnet{http://mi.mathnet.ru/ubs489}
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  • https://www.mathnet.ru/eng/ubs/v30/i1/p76
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