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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 1, Pages 223–227 (Mi zvmmf5626)  
Scientific communications

Numerical methods for a class of problems of optimal flow control on graphs

N. S. Vasil'ev

Moscow
Full-text PDF (672 kB)
Abstract: A class of problems dealing with optimal flow control in the analysis of mathematical models of communication networks is discussed. The control problem consists of the optimal choice of the paths on a given graph and, for fixed paths, in solving a discrete optimal-control problem. A scheme for reduced recurrent inspection of the paths (full inspection may be impossible because of the large volume of the problem) is substantiated, and the convergence of the proposed algorithms is proved.
Received: 19.02.1981
Revised: 04.01.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 1, Pages 160–163
DOI: https://doi.org/10.1016/S0041-5553(83)80031-7
Bibliographic databases:
Document Type: Article
UDC: 519.6:517.977
MSC: Primary 90B10; Secondary 90C10, 65K05, 90C35
Language: Russian
Citation: N. S. Vasil'ev, “Numerical methods for a class of problems of optimal flow control on graphs”, Zh. Vychisl. Mat. Mat. Fiz., 23:1 (1983), 223–227; U.S.S.R. Comput. Math. Math. Phys., 23:1 (1983), 160–163
Citation in format AMSBIB
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\by N.~S.~Vasil'ev
\paper Numerical methods for a class of problems of optimal flow control on graphs
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 1
\pages 223--227
\mathnet{http://mi.mathnet.ru/zvmmf5626}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=692762}
\zmath{https://zbmath.org/?q=an:0524.90034}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 1
\pages 160--163
\crossref{https://doi.org/10.1016/S0041-5553(83)80031-7}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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