On an Interrupted Bivariate Renewal Process and Its Applications

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....

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Bibliographic Details
Published in:Automatic control and computer sciences 2023-10, Vol.57 (5), p.490-503
Main Authors: Andronov, A., Thordarson, D. Santalova, Yu, Hao
Format: Article
Language:English
Subjects:
Algorithms
Bivariate analysis
Computer Science
Control Structures and Microprogramming
Density
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Summary: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.
ISSN:0146-4116
1558-108X
1558-108X
DOI:10.3103/S0146411623050036