Geodesic
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. 
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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/

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