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Application of decomposition in detecting conditions of economic crises

  • Systems Analysis and Operations Research
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Abstract

Using decomposition of the optimization problem that deytermines the stationary state of the production system, it is shown that this problem possesses a crisis solution formed in local gross output optimization problems when the Leontiev model included in each of them loses its semi-positive solutions for supercritical values of some parameters of its input-output matrix. An algorithm for estimating deviations of current values of these parameters from critical values is constructed.

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Authors and Affiliations

  1. Central Institute of Mathematical Economics, Russian Academy of Sciences, Nakhimovskii pr. 47, Moscow, 117418, Russia

    V. Yu. Leonov, V. G. Mednitskii, Yu. V. Mednitskii & M. R. Fattakhov

Authors
  1. V. Yu. Leonov
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  2. V. G. Mednitskii
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  3. Yu. V. Mednitskii
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  4. M. R. Fattakhov
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Additional information

Original Russian Text © V.Yu. Leonov, V.G. Mednitskii, Yu.V. Mednitskii, M.R. Fattakhov, 2010, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2010, No. 3, pp. 67–77.

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Leonov, V.Y., Mednitskii, V.G., Mednitskii, Y.V. et al. Application of decomposition in detecting conditions of economic crises. J. Comput. Syst. Sci. Int. 49, 406–415 (2010). https://doi.org/10.1134/S1064230710030093

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  • DOI: https://doi.org/10.1134/S1064230710030093

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