Title: Availability analysis for repairable system with warm standby, switching failure and reboot delay

Authors: M. Jain; Sulekha Rani

Addresses: Department of Mathematics, Indian Institute of Technology, Roorkee, Distt., Hardwar-247 667, India ' School of Basic and Applied Sciences, Shobhit University, Meerut-250110, India

Abstract: By using the Markov process, system state transitions can be modelled to predict the system availability in many realistic applications, wherein all components of the system cannot be treated as identical because of their failure and repair characteristics. In this paper, efforts have been made to examine the availability characteristics for three different configurations with warm standby, switching failure and delay of reboot. For the primary and warm standby components, the time-to-failure, time-to-repair and time-to-delay are assumed to follow exponential distribution. The switching of warm standbys to replace failed components is subject to failure with probability q. Numerical results using the Runge-Kutta method have been provided for supporting the analytical results. These results validate the prediction capability of the proposed analytical framework of the system incorporating standby, switching and reboot.

Keywords: availability analysis; warm standby; switching failure; reboot delay; Runge-Kutta method; repairable systems; modelling; system state transitions; component failure.

DOI: 10.1504/IJMOR.2013.050605

International Journal of Mathematics in Operational Research, 2013 Vol.5 No.1, pp.19 - 39

Published online: 31 Mar 2014 *

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