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Asymptotic Analysis of Reliability of a System with Reserve Elements and Repairing Device

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Abstract

The paper deals with a system consisting of \(n\) identical elements and one repairing device. While one element is working, others stay in reserve. The distribution of working and repairing times of elements are supposed to be exponential. The asymptotic distribution of the system lifetime under the conditions of its high reliability is investigated.

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Funding

The work is supported by the Russian Foundation for Basic Research, project no. 20-01-00-487.

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Authors and Affiliations

  1. Chair of Probability Theory, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    L. G. Afanas’eva & E. A. Golovastova

Authors
  1. L. G. Afanas’eva
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  2. E. A. Golovastova
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Corresponding authors

Correspondence to L. G. Afanas’eva or E. A. Golovastova.

Additional information

Translated by E. Oborin

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Afanas’eva, L.G., Golovastova, E.A. Asymptotic Analysis of Reliability of a System with Reserve Elements and Repairing Device. Moscow Univ. Math. Bull. 76, 16–21 (2021). https://doi.org/10.3103/S0027132221010022

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  • DOI: https://doi.org/10.3103/S0027132221010022

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