Application of decomposition methods in optimization

The problem of optimization of the composition of a production association of diverse enterprises is considered. The participating enterprises in the association model can be represented by relations of the input-output balance. Decomposition methods are used to construct models, describing the oper...

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Bibliographic Details
Published in:Journal of computer & systems sciences international 2009-10, Vol.48 (5), p.827-838
Main Authors: Mednitskii, V. G., Mednitskii, Yu. V., Leonov, V. Yu
Format: Article
Language:English
Subjects:
Control
Control in Organizational and Social-Economic Systems
Engineering
Equilibrium
Mechatronics
Robotics
Studies
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Summary:The problem of optimization of the composition of a production association of diverse enterprises is considered. The participating enterprises in the association model can be represented by relations of the input-output balance. Decomposition methods are used to construct models, describing the operation of such a system in the market environment for various methods of its regulation and to find conditions of asymptotic stability for the equilibrium. It is shown that this equilibrium coincides with the optimal solution to the global problem of the association, depending on the properties of the association balance matrix, the equilibrium can be inflationary rather than economical, when the production volume and income diminish to zero for rather high prices.
ISSN:1064-2307
1555-6530
DOI:10.1134/S1064230709050165