Reliability Analysis of Repairable Systems With Dependent Component Failures Under Partially Perfect Repair

2013 ◽  
Vol 62 (2) ◽  
pp. 490-498 ◽  
Author(s):  
Qingyu Yang ◽  
Nailong Zhang ◽  
Yili Hong
Author(s):  
Liudong Xing ◽  
Chaonan Wang ◽  
Gregory Levitin

This paper considers competing failure propagation and isolation effects in the reliability analysis of systems with functional dependence, where the failure of some trigger component causes other components (referred to as dependent components) to become inaccessible or isolated from the system. A propagated failure originating from a dependent component could affect other parts of the system and thus cause the entire system to fail. However, if the trigger component fails first, the propagation of the dependent component failure can be prevented and thus it cannot affect the function of the rest of the system. In other words, propagated failures originating from dependent components in systems with functional dependence can have different consequences due to their competition with the failure of the trigger component in the time domain. This paper suggests a combinatorial method to address such competing failure behavior in the reliability analysis of non-repairable binary-state systems. Different from the work reported in the literature that assumes local and propagated failures of a component being mutually exclusive, the proposed method is applicable to independent and dependent local and propagated component failures. The system reliability analysis results for all the three cases (mutually exclusive, independent and dependent) are compared through a case study. The proposed method is verified through comparison with Markov-based methods.


1987 ◽  
Vol 1 (4) ◽  
pp. 425-440 ◽  
Author(s):  
Jane N. Hagstrom ◽  
King-Tim Mak

We consider the impact that the introduction of dependent component failures has on the computational difficulty of system reliability analysis. We develop general strategies for computing system reliability when components are subject to dependent failures. In the process, we identify a significant number of cases where computing the system reliability in the presence of dependent failures is not significantly harder than writing down the joint probability distribution and computing the system reliability when the components fail independently.


Author(s):  
R. H. W. Brook

When a serious failure situation has developed, an expensive crash programme is usually required. If in-service data are analysed as a routine, then impending trouble may be foreseen and management decisions made to minimize the cost. A reliability analysis can help to establish a failure pattern compatible with intuitive engineering assessment so that, from a realistic prediction, alternative courses of action can be considered. A recent gas-turbine engine problem which has caused six component failures is analysed, and alternative replacement strategies are considered. It is suggested that to adopt the intuitive compromise strategy could be the most expensive in this case.


IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 52374-52384 ◽  
Author(s):  
Xuejiao Du ◽  
Zhaojun Yang ◽  
Chuanhai Chen ◽  
Xiaoxu Li ◽  
Michael G. Pecht

Author(s):  
Xiao-Jian Yi ◽  
Jian Shi ◽  
Hui-Na Mu ◽  
Hai-Ping Dong ◽  
Zhong Zhang

This paper proposes a new goal-oriented (GO) method for reliability analysis of repairable systems with multiple-input and multi-function component (MIMFC). First, a new GO operator combination, which is composed of a new function GO operator and a new auxiliary GO operator, is created to represent MIMFC. The new function GO operator named as Type 22 operator is created to represent MIMFC itself, and the auxiliary GO operator named as Type 15B operator is created to represent multi-condition control signals of MIMFC. Then, GO operation formulas of the new GO operator combination are deduced based on logical relationships among inputs, outputs, and the component itself. The reliability analysis process of the new GO method is formulated. Furthermore, this new GO method is applied for the first time in steady availability analysis and qualitative analysis of the fan drive system of a power-shift steering transmission. Finally, the results obtained by the new GO method are compared with the results of fault tree analysis (FTA) and Monte Carlo simulation (MCS), and the comparison results show that this new GO method is reasonable and advantageous in reliability analysis of repairable systems with MIMFC. Moreover, the analysis process shows that it is more advantageous in the aspect of building system models and conducting reliability analysis. Overall, this paper not only improves the basic theory of the GO method and expands the application of the GO method, but it also provides a new approach for reliability analysis of repairable systems with MIMFC.


1980 ◽  
Vol 17 (1) ◽  
pp. 154-167 ◽  
Author(s):  
Peter Franken ◽  
Arnfried Streller

Starting from the theory of point processes the concept of a process with an embedded marked point process is defined. It is shown that the known formula expressing the relation between the stationary and synchronous version of a regenerative process remains valid without the assumption of independence of cycles. General formulae for stationary availability and interval reliability of complex systems with repair are also obtained. In this way generalizations of Keilson's results for Markovian systems and Ross's results for systems with separately maintained elements are presented. The formulae are applied to a two-unit parallel system with a single repair facility.


2014 ◽  
Vol 571-572 ◽  
pp. 241-244 ◽  
Author(s):  
Xiao Quan Li ◽  
Run Ling Li ◽  
Yi Jing Xie

The problems of reliability and maintainability for repairable systems are investigated in this paper, and Markov process is employed to build the mathematical models of availability and reliability for the repairable systems. Firstly, the formulas of availability and reliability for single repairable systems are deduced. Then, the repairable system with two parallel components and one standby are investigated, which is common in engineering application. Finally, simple approaches are summarized for availability of complicated repairable systems. Since the two approaches has the same result, which provides theoretical proof for the study of repairable systems’reliability and availability.


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