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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 1, Pages 73–82 (Mi zvmmf5601)  
Modelling of the space of paths in problems of constructing optimal trajectories

S. V. Smelyakov, Yu. G. Stoyan

Khar'kov
Full-text PDF (1464 kB)
Abstract: The basic problem of constructing optimal paths in non-simply connected domains is formulated, and the structure of its solution, based on a discrete-continual model of the space of paths, is considered. The special case of the basic problem, connected with the construction of extremals in a piecewise linear three-dimensional manifold, is studied. The proposed model is extended to problems of constructing, in non-simply-connected domain, extremals with moving end and connecting networks. The result of solving one of the problems is quoted.
Received: 29.05.1981
Revised: 30.12.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 1, Pages 50–55
DOI: https://doi.org/10.1016/S0041-5553(83)80009-3
Bibliographic databases:
Document Type: Article
UDC: 519.176
MSC: Primary 05C85; Secondary 05C38
Language: Russian
Citation: S. V. Smelyakov, Yu. G. Stoyan, “Modelling of the space of paths in problems of constructing optimal trajectories”, Zh. Vychisl. Mat. Mat. Fiz., 23:1 (1983), 73–82; U.S.S.R. Comput. Math. Math. Phys., 23:1 (1983), 50–55
Citation in format AMSBIB
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\by S.~V.~Smelyakov, Yu.~G.~Stoyan
\paper Modelling of the space of paths in problems of constructing optimal trajectories
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 1
\pages 73--82
\mathnet{http://mi.mathnet.ru/zvmmf5601}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=692742}
\zmath{https://zbmath.org/?q=an:0717.05058}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 1
\pages 50--55
\crossref{https://doi.org/10.1016/S0041-5553(83)80009-3}
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