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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 1978 Issue 11, Pages 107–114 (Mi at9980)

Developing Systems

On one planning problem in linear models class

A. S. Belen'kii

Moscow

Abstract: The paper is concerned with a problem of planning which can be formulated as a mathematical programming problem with restrictions in the form of a system of linear inequalities. When such system of linear inequalities is incompatible under fixed right-hand side vector, a method of correcting this vector is proposed, which permits one to find a vector most close (in a centain sense) to the initial correcting vector of right-hand side and provides compatibility of the system of restrictions in planning problem. Considered in the paper is an application of the correcting method to some two-level planning problems with restrictions in the form of incompatible linear inequalities.

UDC: 65.012.1.122


Received: 11.08.1977


 English version:
Automation and Remote Control, 1979, 39:11, 1667–1673

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