TY - JOUR
T1 - Analyzing the multi-state system under a run shock model
AU - Ozkut, Murat
AU - Kan, Cihangir
AU - Franko, Ceki
N1 - Publisher Copyright:
© The Author(s), 2024. Published by Cambridge University Press.
PY - 2024
Y1 - 2024
N2 - A system experiences random shocks over time, with two critical levels, d1 and d2, where. k consecutive shocks with magnitudes between d1 and d2 partially damaging the system, causing it to transition to a lower, partially working state. Shocks with magnitudes above d2 have a catastrophic effect, resulting in complete failure. This theoretical framework gives rise to a multi-state system characterized by an indeterminate quantity of states. When the time between successive shocks follows a phase-type distribution, a detailed analysis of the system's dynamic reliability properties such as the lifetime of the system, the time it spends in perfect functioning, as well as the total time it spends in partially working states are discussed.
AB - A system experiences random shocks over time, with two critical levels, d1 and d2, where. k consecutive shocks with magnitudes between d1 and d2 partially damaging the system, causing it to transition to a lower, partially working state. Shocks with magnitudes above d2 have a catastrophic effect, resulting in complete failure. This theoretical framework gives rise to a multi-state system characterized by an indeterminate quantity of states. When the time between successive shocks follows a phase-type distribution, a detailed analysis of the system's dynamic reliability properties such as the lifetime of the system, the time it spends in perfect functioning, as well as the total time it spends in partially working states are discussed.
KW - mean residual life
KW - multi-state system
KW - phase-type distribution
KW - shock model
UR - http://www.scopus.com/inward/record.url?scp=85185336686&partnerID=8YFLogxK
U2 - 10.1017/S0269964824000019
DO - 10.1017/S0269964824000019
M3 - Article
AN - SCOPUS:85185336686
SN - 0269-9648
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
ER -