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Matematicheskie Zametki, 2008, Volume 84, Issue 5, Pages 667–675
DOI: https://doi.org/10.4213/mzm6361 (Mi mzm6361) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Long-Run Availability of a Warm Standby System

E. J. Vanderperre

University of South Africa
Full-text PDF (451 kB) Citations (4) English version article
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DOI: https://doi.org/10.4213/mzm6361
Abstract: We analyze the long-run availability of a duplex system characterized by warm standby and attended by two repairmen. In order to describe the random behavior of the system, we employ a stochastic process endowed with stationary measures satisfying coupled steady-state differential equations. The solution procedure is based on the theory of sectionally holomorphic functions. As an example, we consider the particular case of deterministic repair (replacement).
Keywords: stochastic process, warm standby, stationary measure, functional equation, holomorphic function, dual transform, long-run availability, deterministic repair, failure rate.
Received: 14.05.2008
English version:
Mathematical Notes, 2008, Volume 84, Issue 5, Pages 623–630
DOI: https://doi.org/10.1134/S0001434608110035
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: E. J. Vanderperre, “Long-Run Availability of a Warm Standby System”, Mat. Zametki, 84:5 (2008), 667–675; Math. Notes, 84:5 (2008), 623–630
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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