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Avtomat. i Telemekh., 1978, Issue 7, Pages 106–115 (Mi at9778)  

Developing Systems

Integer dynamic problems of economic planning with network constraints

A. P. Uzdemir, V. V. Shmelev

Moscow

Abstract: A general statement is given for a dynamic problem of batch manufacturing is given which recognizes buffers, and constraints on power, network structures (which specify the activity sequences), raw materials, and planned targets. The optimality criterion may be the maximum of a linear functional, nondecreasing with negative variation of the variables or the minimum of a scalar parameter on which the problem conditions depend. The notion of an unpackable feasible solution is introduced and a theorem on the existence of an optimal unpackable solution is proven with the problem solvable.

Full text: PDF file (1658 kB)

English version:
Automation and Remote Control, 1978, 39:7, 1025–1033

Bibliographic databases:

Document Type: Article
UDC: 65.012.1.122
Received: 14.04.1977

Citation: A. P. Uzdemir, V. V. Shmelev, “Integer dynamic problems of economic planning with network constraints”, Avtomat. i Telemekh., 1978, no. 7, 106–115; Autom. Remote Control, 39:7 (1978), 1025–1033

Citation in format AMSBIB
\Bibitem{UzdShm78}
\by A.~P.~Uzdemir, V.~V.~Shmelev
\paper Integer dynamic problems of economic planning with network constraints
\jour Avtomat. i Telemekh.
\yr 1978
\issue 7
\pages 106--115
\mathnet{http://mi.mathnet.ru/at9778}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=514695}
\zmath{https://zbmath.org/?q=an:0424.90025}
\transl
\jour Autom. Remote Control
\yr 1978
\vol 39
\issue 7
\pages 1025--1033


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