This article is cited in 4 papers

Long-Run Availability of a Warm Standby System

E. J. Vanderperre

University of South Africa

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.

UDC: 517.958

Received: 14.05.2008

DOI: 10.4213/mzm6361

 English version: Mathematical Notes, 2008, 84:5, 623–630

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