Condition-Based Maintenance for Repairable Deteriorating Systems Subject to a Generalized Mixed Shock Model

Rafiee, Koosha; Feng, Qianmei; Coit, David W.

doi:10.1109/tr.2015.2461217

Cited by 85 publications

(25 citation statements)

References 24 publications

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“…The probabilities of no transition after the l th transition in the remaining i l+1 shocks, or P(S l+1 > i l+1 ), for different scenarios in Eqs. (16)(17)(18) are derived and presented in Table 2. The derivation of the four cases in Table 2 is described as follows.…”

Section: Probability Of No Transition In Remaining Shocksmentioning

confidence: 99%

Reliability assessment of competing risks with generalized mixed shock models

Rafiee

Feng

Coit

2017

Reliability Engineering & System Safety

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116

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This paper investigates reliability modeling for systems subject to dependent competing risks considering the impact from a new generalized mixed shock model. Two dependent competing risks are soft failure due to a degradation process, and hard failure due to random shocks. The shock process contains fatal shocks that can cause hard failure instantaneously, and nonfatal shocks that impact the system in three different ways: 1) damaging the unit by immediately increasing the degradation level, 2) speeding up the deterioration by accelerating the degradation rate, and 3) weakening the unit strength by reducing the hard failure threshold. While the first impact from nonfatal shocks comes from each individual shock, the other two impacts are realized when the condition for a new generalized mixed shock model is satisfied. Unlike most existing mixed shock models that consider a combination of two shock patterns, our new generalized mixed shock model includes three classic shock patterns. According to the proposed generalized mixed shock model, the degradation rate and the hard failure threshold can simultaneously shift multiple times, whenever the condition for one of these three shock patterns is satisfied. An example using micro-electro-mechanical systems devices illustrates the effectiveness of the proposed approach with sensitivity analysis.

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Section: Probability Of No Transition In Remaining Shocksmentioning

confidence: 99%

Reliability assessment of competing risks with generalized mixed shock models

Rafiee

Feng

Coit

2017

Reliability Engineering & System Safety

Self Cite

116

View full text Add to dashboard Cite

show abstract

“…Lisnianski et al studied an aging MSS composed of multi‐state and binary elements under minimal repair. Rafiee et al and Wang presented condition‐based maintenance policies considering imperfect repair for complex systems subject to s‐dependent competing risks of continuous degradation and generalized mixed shock models.…”

Section: Introductionmentioning

confidence: 99%

Reliability modeling of multi‐state degraded repairable systems and its applications to automotive systems

Zheng

Pham

et al. 2018

Quality & Reliability Eng

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In this paper, we presented a continuous‐time Markov process‐based model for evaluating time‐dependent reliability indices of multi‐state degraded systems, particularly for some automotive subsystems and components subject to minimal repairs and negative repair effects. The minimal repair policy, which restores the system back to an “as bad as old” functioning state just before failure, is widely used for automotive systems repair because of its low cost of maintenance. The current study distinguishes with others that the negative repair effects, such as unpredictable human error during repair work and negative effects caused by propagated failures, are considered in the model. The negative repair effects may transfer the system to a degraded operational state that is worse than before due to an imperfect repair. Additionally, a special condition that a system under repair may be directly transferred to a complete failure state is also considered. Using the continuous‐time Markov process approach, we obtained the general solutions to the time‐dependent probabilities of each system state. Moreover, we also provided the expressions for several reliability measures include availability, unavailability, reliability, mean life time, and mean time to first failure. An illustrative numerical example of reliability assessment of an electric car battery system is provided. Finally, we use the proposed multi‐state system model to model a vehicle sub‐frame fatigue degradation process. The proposed model can be applied for many practical systems, especially for the systems that are designed with finite service life.

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“…Due to the deterioration of gas performance, fatigue, wear, corrosion and many other reasons in the life cycle of the rotor system, the components will suffer performance degradation or failure. Meanwhile, the rotor system will exhibit multiple performance levels [3,4].…”

Section: Introductionmentioning

confidence: 99%

Multi-state reliability analysis of rotor system using Semi-Markov model and UGF

Feng¹,

Han²

2018

J. vibroeng.

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Abstract. In order to accurately reflect the performance degradation law of the aero-engine rotor system during its life span, a novel multi-state reliability analysis method for rotor system is proposed. The method is based on the combination of the Semi-Markov model with UGF technique. The Semi-Markov model is used to describe the performance degradation process of the components of the rotor system. The UGF technique is utilized to exhibit the relationship between the state performance and the performance probability of the components. Furthermore, the UGF of the entire rotor system is obtained by simplifying the system structure with the modularized method. Therefore, the reliability of the rotor system at different task performance levels can be evaluated easily. A practical case study based on a turboprop engine rotor system is performed to illustrate the implementation and efficiency of the proposed reliability analysis method. Meanwhile, compared with the conventional method, the analysis results indicate that the proposed method can reflect the performance degradation process of the rotor system more veritably and effectively.

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Condition-Based Maintenance for Repairable Deteriorating Systems Subject to a Generalized Mixed Shock Model

Cited by 85 publications

References 24 publications

Reliability assessment of competing risks with generalized mixed shock models

Reliability assessment of competing risks with generalized mixed shock models

Reliability modeling of multi‐state degraded repairable systems and its applications to automotive systems

Multi-state reliability analysis of rotor system using Semi-Markov model and UGF

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