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Controlled Semi-Markov Processes with Constraints on Control Strategies and Construction of Optimal Strategies in Reliability and Safety Models

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Abstract

We study the structure of a distribution for which a linear fractional functional attains an extremum in the case of uncountably many linear constraints. Several examples of how these mathematical results can be used to analyze controlled reliability and safety models are given.

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Authors and Affiliations

  1. National Research University Higher School of Economics, Moscow, 101000, Russia

    V. A. Kashtanov, O. B. Zaitseva & A. A. Efremov

  2. Moscow Aviation Institute (National Research University), Moscow, 125993, Russia

    V. A. Kashtanov, O. B. Zaitseva & A. A. Efremov

Authors
  1. V. A. Kashtanov
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  2. O. B. Zaitseva
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  3. A. A. Efremov
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Corresponding author

Correspondence to V. A. Kashtanov.

Additional information

Translated from Matematicheskie Zametki, 2021, Vol. 109, pp. 571-580 https://doi.org/10.4213/mzm12972.

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Kashtanov, V.A., Zaitseva, O.B. & Efremov, A.A. Controlled Semi-Markov Processes with Constraints on Control Strategies and Construction of Optimal Strategies in Reliability and Safety Models. Math Notes 109, 585–592 (2021). https://doi.org/10.1134/S0001434621030275

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  • DOI: https://doi.org/10.1134/S0001434621030275

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