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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
Gottlieb, G. and Levikson, B. (1984) Optimal replacement for self repairing shock models with general failure rate. J. Appl. Prob. 21, 108–119.CrossRefGoogle Scholar
Srinivasan, S. K. (1974) Stochastic Point Processes and their Applications. Griffin, London.Google Scholar