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Study of Synergistic Effects in Complex Stochastic Systems

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  • Gurami Tsitsiashvili

    (Institute for Applied Mathematics, Far Eastern Branch of Russian Academy Sciences, Radio Str. 7, IAM FEB RAS, 690041 Vladivostok, Russia)

Abstract

In this paper, a method for detecting synergistic effects of the interaction of elements in multi-element stochastic systems of separate redundancy, multi-server queuing, and statistical estimates of nonlinear recurrent relations parameters has been developed. The detected effects are quite strong and manifest themselves even with rough estimates. This allows studying them with mathematical methods of relatively low complexity and thereby expand the set of possible applications. These methods are based on special techniques of the structural analysis of multi-element stochastic models in combination with majorant asymptotic estimates of their performance indicators. They allow moving to more accurate and rather economical numerical calculations, as they indicate in which direction it is most convenient to perform these calculations.

Suggested Citation

  • Gurami Tsitsiashvili, 2021. "Study of Synergistic Effects in Complex Stochastic Systems," Mathematics, MDPI, vol. 9(12), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1396-:d:576039
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    References listed on IDEAS

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