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On an Interrupted Bivariate Renewal Process and Its Applications

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Abstract

A special case of the bivariate renewal process is investigated. It is supposed, that this process is considered while the second component has a positive value. The algorithm for a calculation of the corresponding time’s density is presented. In addition, a case of preventive renewal is considered. Such renewal takes place when the value of the second component is positive but is less than a fixed level. The following characteristics are investigated: distribution of the number of such renewals, the density of the time of the failure, etc. Numerical examples illustrate the given presentation.

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Authors and Affiliations

  1. Transport and Telecommunication Institute, Riga, Latvia

    A. Andronov

  2. UiT The Arctic University of Norway, Faculty of Engineering Science and Technology, Narvik, Norway

    D. Santalova Thordarson & Hao Yu

Authors
  1. A. Andronov
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  2. D. Santalova Thordarson
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  3. Hao Yu
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Corresponding authors

Correspondence to A. Andronov, D. Santalova Thordarson or Hao Yu.

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Andronov, A., Thordarson, D.S. & Yu, H. On an Interrupted Bivariate Renewal Process and Its Applications. Aut. Control Comp. Sci. 57, 490–503 (2023). https://doi.org/10.3103/S0146411623050036

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  • DOI: https://doi.org/10.3103/S0146411623050036

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