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On the replacement of systems subject to shocks and wear-dependent failure

Published online by Cambridge University Press:  01 July 2016

A. Rangan  and
R. Ester Grace
A. Rangan
Affiliation:
Indian Institute of Technology, Madras
R. Ester Grace*
Affiliation:
Indian Institute of Technology, Madras
*
Postal address for both authors: Department of Mathematics, Indian Institute of Technology, Madras-600036, India.
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Abstract

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A system is discussed which is subject to a conditional Poisson stream of failures, whose intensity function representing the cumulative damage level is a Markov chain.

Keywords

CUMULATIVE DAMAGEPRODUCT DENSITIESCONDITIONAL POISSON PROCESSFAILURE COUNTING PROCESS
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 21 , Issue 1 , March 1989 , pp. 238 - 240
Copyright
Copyright © Applied Probability Trust 1989 

References

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Boland, P. J. and Proschan, F. (1983) Optimum replacement of a system subject to shocks. Operat. Res. 31, 697–704.Google Scholar
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Srinivasan, S. K. (1974) Stochastic Point Processes and their Applications. Griffin, London.Google Scholar