Abstract. We analyse the recovery time of a duplex system characterized by warm standby and attended by two general heterogeneous repairmen. In order to describe the random behaviour of the system, we introduce a stochastic process endowed with time-dependent transition measures satisfying coupled partial differential equations. The solution procedure is based on the theory of sectionally holomorphic functions combined with the notion of dual transforms. As a non-standard example, we consider the case of Weibull-Gnedenko repair.

Received: April 24, 2015

AMS Subject Classification: 60K10

Key Words and Phrases: standby, T-System, recovery time, sectionally holomorphic function, dual transform, Laplace transform, Weibull-Gnedenko repair

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DOI: 10.12732/ijpam.v102i1.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 102
Issue: 1
Pages: 147 - 167

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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