Long-Run Availability of a Warm Standby System
Matematičeskie zametki, Tome 84 (2008) no. 5, pp. 667-675

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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.
@article{MZM_2008_84_5_a2,
     author = {E. J. Vanderperre},
     title = {Long-Run {Availability} of a {Warm} {Standby} {System}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {667--675},
     publisher = {mathdoc},
     volume = {84},
     number = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a2/}
}
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E. J. Vanderperre. Long-Run Availability of a Warm Standby System. Matematičeskie zametki, Tome 84 (2008) no. 5, pp. 667-675. http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a2/