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Active and Passive Electronic Components
Volume 22, Issue 1, Pages 31-49
http://dx.doi.org/10.1155/1999/12147

Reliability and Availability Analysis of Some Systems with Common-Cause Failures Using SPICE Circuit Simulation Program

1King Fahd University of Petroleum and Minerals, Box 203, Dhahran 31261, Saudi Arabia
2University of Bahrain, P.O. Box 32038, Isa Town, Bahrain

Received 31 August 1998; Accepted 3 December 1998

Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The effectiveness of SPICE circuit simulation program in calculating probabilities, reliability, steady-state availability and mean-time to failure of repairable systems described by Markov models is demonstrated. Two examples are presented. The first example is a warm standby system with common-cause failures and human errors. The second example is a non-identical unit parallel system with common-cause failures. In both cases recourse to numerical solution is inevitable to obtain the Laplace transforms of the probabilities. Results obtained using SPICE are compared with previously published results obtained using the Laplace transform method. Full SPICE listings are included.