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Unavailability analysis of protective systems subject to sequential testing. (English) Zbl 0553.90053

This paper develops state-space models for unavailability analysis of protective systems where the components are tested sequentially rather than simultaneously (normally known as ”block” testing). The components are subject to revealed failures. Failures and repairs are assumed to follow exponential density functions. Components are sequentially tested after a fixed testing interval. This leaves some measure of protection from the system during the testing operation. The random process generated by the failure-repair testing actions is not Markov due to the testing operation. The process, nevertheless, contains enough properties of a Markov process that it could be described by a semi-Markov process. In this paper, semi-markovian state-space models for systems of two and three sequentially tested components are presented and analysed. Suitable availability indices for the systems are derived and computer results are obtained.

MSC:

90B25 Reliability, availability, maintenance, inspection in operations research
62P30 Applications of statistics in engineering and industry; control charts
60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.)
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References:

[1] ALAM M., Int. J. Systems Sci (1984)
[2] BARLOW R. E., Mathematical Theory of Reliability (1965) · Zbl 0132.39302
[3] GREEN A. E., U.K.A.E,A (1966)
[4] HENLEY E. J., Reliability EngineeringRisk Assessment (1981)
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