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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 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

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.

UDC: 65.012.122:519.5


Received: 11.03.1981


 English version:
Automation and Remote Control, 1982, 43:9, 1190–1197

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© Steklov Math. Inst. of RAS, 2026