TY - JOUR
T1 - A new shock model with a change in shock size distribution
AU - Eryilmaz, Serkan
AU - Kan, Cihangir
N1 - Publisher Copyright:
Copyright © Cambridge University Press 2019.
PY - 2021/7
Y1 - 2021/7
N2 - 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.
AB - 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.
KW - matrix-exponential distribution
KW - reliability
KW - shock model
UR - http://www.scopus.com/inward/record.url?scp=85077228288&partnerID=8YFLogxK
U2 - 10.1017/S0269964819000445
DO - 10.1017/S0269964819000445
M3 - Article
AN - SCOPUS:85077228288
SN - 0269-9648
VL - 35
SP - 381
EP - 395
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
IS - 3
ER -