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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2012, Issue 12, Pages 53–76 (Mi vyuru57)  

This article is cited in 5 scientific papers (total in 5 papers)

Mathematical Modelling

A Parallel Procedure of Constructing Bellman Function in the Generalized Courier Problem with Interior Works

A. G. Chentsov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences (Yekaterinburg, Russian Federation)
References:
Abstract: A construction of the parallel realization of dynamic programming method for solving the problem of sequential visiting for sets (megalopolises) with constraints in the form of preceding conditions; this problem is called generalized courier problem. It is supposed that, on these sets, the works with inputs are fulfilled. The computing procedure used partial constructing of the Bellman function array and realized by layers of the position space is investigated. In the foundation of construction the idea of a discrete dynamic system is situated; for this system, attainability domains realized by recurrence scheme are constructed.
Keywords: route, megalopolis, dynamic programming.
Received: 01.02.2012
Document Type: Article
UDC: 519.6
MSC: 93CXX
Language: Russian
Citation: A. G. Chentsov, “A Parallel Procedure of Constructing Bellman Function in the Generalized Courier Problem with Interior Works”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 12, 53–76
Citation in format AMSBIB
\Bibitem{Che12}
\by A.~G.~Chentsov
\paper A Parallel Procedure of Constructing Bellman Function in the Generalized Courier Problem with Interior Works
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2012
\issue 12
\pages 53--76
\mathnet{http://mi.mathnet.ru/vyuru57}
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  • https://www.mathnet.ru/eng/vyuru/y2012/i12/p53
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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