2015
DOI: 10.1016/j.amc.2015.06.129
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Assessment of a multi-state system under a shock model

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Cited by 40 publications
(16 citation statements)
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“…Besides, another important reliability characteristic is the mean residual lifetime function at a given time [3]. The reliability significance of this function is the average residual time until failure when the system is still working at time t. When compared with the average lifetime, this statistic is more flexible since it can be monitored throughout the working state.…”
Section: Reliability Characteristics Of the Systemmentioning
confidence: 99%
See 1 more Smart Citation
“…Besides, another important reliability characteristic is the mean residual lifetime function at a given time [3]. The reliability significance of this function is the average residual time until failure when the system is still working at time t. When compared with the average lifetime, this statistic is more flexible since it can be monitored throughout the working state.…”
Section: Reliability Characteristics Of the Systemmentioning
confidence: 99%
“…To sum up, a phase-type distribution has strong versatility to satisfy the requirements of modelling general phenomena. Eryilmaz [3], [4] introduced in detail the properties of a continuous phase-type distribution and its application. Following his approach, we assume that the inter-arrival time between shocks follows a continuous phase-type distribution.…”
Section: Introductionmentioning
confidence: 99%
“…To integrate the random shock to reliability modeling for MSSs, Eryilmaz 11 considered a kind of multi‐state system subject to random shocks only. The multiple states are created by the various magnitudes of shocks.…”
Section: Introductionmentioning
confidence: 99%
“…A multistate k-out-of-n system and multi-state consecutive k-out-of-n system were respectively brought up in (Tian et al, 2008) and (Habib et al, 2007). Eryilmaz (2015) was proposed an extreme shock model considering that the system has been experienced several states before its complete failure. However, the abovementioned multi-state approaches all suffer from a significant constraint.…”
Section: Introductionmentioning
confidence: 99%