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Avtomatika i Telemekhanika, 1982, Issue 9, Pages 112–121 (Mi at5621)  
Automated control systems

Minimization of a monotone function on a polyhedral set

A. S. Belen'kii

Moscow
Full-text PDF (2461 kB)
Abstract: The problem of minimization on a polyhedral set of a quasiconvex function which features monotoneity on any stretch of the definition range is considered which arises in planning for optimization of specific economic indices. Properties of the monotone function on a polyhedral set are found which lead to a finite method for solution of the problem.

Received: 11.03.1981
Bibliographic databases:
Document Type: Article
UDC: 65.012.122:519.5
Language: Russian
Citation: A. S. Belen'kii, “Minimization of a monotone function on a polyhedral set”, Avtomat. i Telemekh., 1982, no. 9, 112–121; Autom. Remote Control, 43:9 (1982), 1190–1197
Citation in format AMSBIB
\Bibitem{Bel82}
\by A.~S.~Belen'kii
\paper Minimization of a monotone function on a polyhedral set
\jour Avtomat. i Telemekh.
\yr 1982
\issue 9
\pages 112--121
\mathnet{http://mi.mathnet.ru/at5621}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=711438}
\zmath{https://zbmath.org/?q=an:0514.90072}
\transl
\jour Autom. Remote Control
\yr 1982
\vol 43
\issue 9
\pages 1190--1197
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