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A NEW SHOCK MODEL WITH A CHANGE IN SHOCK SIZE DISTRIBUTION

Published online by Cambridge University Press:  26 December 2019

Serkan Eryilmaz Open the ORCID record for Serkan Eryilmaz [Opens in a new window]  and
Cihangir Kan
Serkan Eryilmaz
Affiliation:
Department of Industrial Engineering, Atilim University, 06836, Incek, Ankara, Turkey E-mail: serkan.eryilmaz@atilim.edu.tr
Cihangir Kan
Affiliation:
Xi'an Jiaotong-Liverpool University, Suzhou, China
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Abstract

For a system that is subject to shocks, it is assumed that the distribution of the magnitudes of shocks changes after the first shock of size at least d1, and the system fails upon the occurrence of the first shock above a critical level d2 (> d1). In this paper, the distribution of the lifetime of such a system is studied when the times between successive shocks follow matrix-exponential distribution. In particular, it is shown that the system's lifetime has matrix-exponential distribution when the intershock times follow Erlang distribution. The model is extended to the case when the system fails upon the occurrence of l consecutive critical shocks.

Keywords

matrix-exponential distributionreliabilityshock model
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 35 , Issue 3 , July 2021 , pp. 381 - 395
Copyright
© Cambridge University Press 2019

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