Reliability analysis of fail-safe systems with heterogeneous and dependent components subject to random shocks

Zhang，Jiandong1; Yan，Rongfang1; Zhang，Yiying2

2022

10.1177/1748006X221122033

Proceedings of the Institution of Mechanical Engineers Part O-Journal of Risk and Reliability   Impact Factor & Quartile

1748-006X

1748-0078

In many significant safety systems, the fault tolerance of a fail-safe system has been a fundamental design attributed to obtaining more higher reliability. However, in most practical scenarios, the components in a fail-safe system suffer from additional random shocks, and one component’s failure may increase the failure probability of other surviving components. This article analyzes the effects of survived probabilities and components lifetimes on the reliability of fail-safe systems with statistically dependent components subject to random shocks in terms of the usual stochastic and hazard rate orderings. Sufficient conditions are established by means of transformation functions, underlying component lifetime distributions, and majorization orders. Some numerical examples are also presented for illustrating our theoretical findings.

dependent components fail-safe system random shock Reliability analysis stochastic orders

SCI

English

Others

Natural Science Foundation of China["11861058","12061065"] ; National Natural Science Foundation of China[12101336]

Engineering ; Operations Research & Management Science

Engineering, Multidisciplinary ; Engineering, Industrial ; Operations Research & Management Science

WOS:000857953400001

SAGE PUBLICATIONS LTD

2-s2.0-85138314536

Scopus

1.College of Mathematics and Statistics,Northwest Normal University,Lanzhou,Gansu,China
2.Department of Mathematics,Southern University of Science and Technology,Shenzhen,Guangdong,China

Zhang，Jiandong,Yan，Rongfang,Zhang，Yiying. Reliability analysis of fail-safe systems with heterogeneous and dependent components subject to random shocks[J]. Proceedings of the Institution of Mechanical Engineers Part O-Journal of Risk and Reliability,2022.

Zhang，Jiandong,Yan，Rongfang,&Zhang，Yiying.(2022).Reliability analysis of fail-safe systems with heterogeneous and dependent components subject to random shocks.Proceedings of the Institution of Mechanical Engineers Part O-Journal of Risk and Reliability.

Zhang，Jiandong,et al."Reliability analysis of fail-safe systems with heterogeneous and dependent components subject to random shocks".Proceedings of the Institution of Mechanical Engineers Part O-Journal of Risk and Reliability (2022).