ANALYSIS OF RELIABILITY CHARACTERISTICS OF A COMPLEX ENGINEERING SYSTEM UNDER COPULA
Keywords:
Common Cause Failure, Complex System, Reliability, Availability, Cost Analysis, Supplementary Variable, Gumbel-Hougaard Family CopulaAbstract
This paper models a complex system to analyse its reliability characteristics. The system has two possible modes-normal and failed with two types of repair facilities-major and minor. The system can fail due to failure of any units which can fail in n-mutually exclusive ways or common cause failure. Each component of the system has a constant failure rate. The system can be repaired with two different distributions viz. exponential and arbitrary. By employing supplementary variable technique and Gumbel- Hougaard family copula, Laplace transformation of various transition state probabilities, availability and cost analysis (expected profit) along with steady-state behaviour of the system and their plots have been obtained. Numerical examples with a way to highlight the important results have been appended at last.
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