Reliability modeling for multi-state systems with a protective device considering multiple triggering mechanism

Abstract

Failures of safety-critical systems may result in irretrievable economic losses and significant safety hazards, thus enhancing the reliability of safety-critical system is crucial. As applied widely in engineering fields, protective devices are commonly equipped for the systems operating in shock environment to reduce external damage, which has not been taken into consideration in existing literatures. This paper investigates the reliability of multi-state systems with competing failure patterns supported by a protective device. According to the system failure modes, state-based and shock number-based triggering mechanism of the protective device are developed. That is, the protective device is triggered once the system state or cumulative number of shocks exceeds corresponding critical thresholds respectively. After being triggered, the protective device can reduce the probability of damaging shocks for the system. The protective device fails when the number of consecutive valid shocks reaches a threshold. Based on the constructed model, a finite Markov chain imbedding approach is employed to derive reliability indices including distribution functions of system lifetime and residual lifetime, together with expected operating time of the protective device. Moreover, two age-based replacement policies together with a condition-based replacement policy are developed to accommodate different maintenance scenarios and corresponding optimal solutions are acquired. Numerical illustrations based on the application of cooling systems in engines are presented to validate the results.

Reliability Analysis for k-out-of-N: F Load Sharing Systems Operating in a Shock Environment

“…Protective device is one of effective ways to improve system reliability and some related works were done. For example, Zhao et al [10], [11] studied triggering policy for multi-state systems with a protective device. Zhao et al [12] considered shock environment and k-out-ofn structure, and proposed a k-out-of-n: F system supported by multi-state protective device.…”

Random Warranty and Replacement Models Customizing from the Perspective of Heterogeneity

“…[7][8][9][10][11][12][13] have been used to ensure the reliability of the product subject to any stochastic processes in Refs. [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29], and the classic RFRW model (see Refs. [30,31]), wherein classic replacement services have been used to ensure the reliability of the product with self-announcing failure.…”