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Avtomatika i Telemekhanika, 1980, Issue 12, Pages 86–96 (Mi at7246)  
This article is cited in 14 scientific papers (total in 14 papers)

Developing Systems

Computing algorithms for solution of some problems in linear and linear integer programming. I

V. F. Krotov, S. I. Sergeev

Moscow
Full-text PDF (1525 kB) Citations (14)
Abstract: Multi-purpose computing algorithms for solution and optimization of control systems which proceed from sufficient conditions of optimality and whose core is an elementary operation of improving the function $\varphi(t,y)$ are used in investigation of mathematical programming problems: the general problem of linear programming with bilateral constraints; problems of assignment and allocation which are particular cases of the transport problem; and the traveling salesman problem. For the latter two types accurate solution algorithms are developed. This part describes general constructions in implementation of an elementary operation and the first of the above problems is investigated.

Received: 18.02.1980
Bibliographic databases:
Document Type: Article
UDC: 62-505:519.82
Language: Russian
Citation: V. F. Krotov, S. I. Sergeev, “Computing algorithms for solution of some problems in linear and linear integer programming. I”, Avtomat. i Telemekh., 1980, no. 12, 86–96; Autom. Remote Control, 41:12 (1981), 1693–1701
Citation in format AMSBIB
\Bibitem{KroSer80}
\by V.~F.~Krotov, S.~I.~Sergeev
\paper Computing algorithms for solution of some problems in linear and linear integer programming. I
\jour Avtomat. i Telemekh.
\yr 1980
\issue 12
\pages 86--96
\mathnet{http://mi.mathnet.ru/at7246}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=649141}
\zmath{https://zbmath.org/?q=an:0466.65038}
\transl
\jour Autom. Remote Control
\yr 1981
\vol 41
\issue 12
\pages 1693--1701
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  • https://www.mathnet.ru/eng/at/y1980/i12/p86
    Cycle of papers
    This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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