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Avtomatika i Telemekhanika, 2006, Issue 9, Pages 23–40 (Mi at1232)  
This article is cited in 1 scientific paper (total in 1 paper)

Deterministic Systems

A dynamic programming scheme with multidimensional step indexing

L. K. Levit-Gurevich, D. M. Yaroshevskii

Institute of Water Problems, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (296 kB) Citations (1)
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Abstract: The classical dynamic programming scheme with computation for one sequence of steps is generalized to the case of several indexed sequences in which the solution at every step depends on the results found at preceding steps of each of these sequences. The Bellman equations are generalized and proved, the complexity of algorithms is estimated, computer-aided realization is described, and applied problems whose formalization leads to a dynamic programming problem with multidimensional step indexing are stated.
Presented by the member of Editorial Board: B. T. Polyak

Received: 03.11.2005
English version:
Automation and Remote Control, 2006, Volume 67, Issue 9, Pages 1373–1388
DOI: https://doi.org/10.1134/S0005117906090037
Bibliographic databases:
Document Type: Article
PACS: 02.60.Pn
Language: Russian
Citation: L. K. Levit-Gurevich, D. M. Yaroshevskii, “A dynamic programming scheme with multidimensional step indexing”, Avtomat. i Telemekh., 2006, no. 9, 23–40; Autom. Remote Control, 67:9 (2006), 1373–1388
Citation in format AMSBIB
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\by L.~K.~Levit-Gurevich, D.~M.~Yaroshevskii
\paper A~dynamic programming scheme with multidimensional step indexing
\jour Avtomat. i Telemekh.
\yr 2006
\issue 9
\pages 23--40
\mathnet{http://mi.mathnet.ru/at1232}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2266468}
\zmath{https://zbmath.org/?q=an:1194.90111}
\transl
\jour Autom. Remote Control
\yr 2006
\vol 67
\issue 9
\pages 1373--1388
\crossref{https://doi.org/10.1134/S0005117906090037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33749035989}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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