ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Copula Function-based Reliability Analysis of a Series System with a Single Cold Standby Unit
Received date: 2013-11-20
Revised date: 2014-04-04
Online published: 2014-04-10
Supported by
National Natural Science Foundation of China (U1333119, U1333118, 60979019, 60572171); CAAC Science and Technology Project (MHRD201123, MHRD200908, MHRD0722)
The traditional reliability model cannot well reflect the effect of performance dependency of units on the reliability of systems and neglect the problems of initial composite reliability. Confining the system to series connection, the system reliability and mean time to failure (MTTF) of a series dependence system with multi-subsystems and one cold standby unit are studied. The Copula function is applied to describing the performance dependence among units, and the reliability models of dependence units with initial reliability and cold standby unit are inferred based on the theories of reliability statistics and conditional probability, the expression for the MTTF of the series system is also obtained. Based on the fact that Farlie-Gumbel-Morgenstern (FGM) Copula function and marginal lifetime is exponential distribution, a system with two-dependent-unit in series and a single cold standby unit is taken as an example; the effect on the reliability of system because of the dependence degree is studied and the system reliability can be expressed as the linear combination of exponential reliability functions with different failure rates. The validity of the modeling method is verified and the presented method provides the theoretical basis for reliability design of system and management from a practical point of view.
ZHANG Yongjin , SUN Youchao , LU Zhong . Copula Function-based Reliability Analysis of a Series System with a Single Cold Standby Unit[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(8) : 2207 -2216 . DOI: 10.7527/S1000-6893.2014.0042
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