Fuzzy Reliability Analysis of a NSP System under Weibull Failure Laws
S. Malik, N. Nandal, A.D. Yadav, S.C. Malik
Abstract
In this paper, we have made efforts to conduct the fuzzy reliability analysis of a non-series-parallel (NSP) system by considering that the components follow Weibull failure laws. The system comprises seven components which are organized into three subsystems. There are two parallel subsystems each consisting of three components connected in series, while the third subsystem involves a single component connected to the extreme components of the parallel subsystems. The use of the path tracing method has been made to derive the expression for the system reliability. Further, it is assumed that the scale and shape parameters of the Weibull distribution are triangular fuzzy numbers. The α-cut method is used to de-fuzzify these fuzzy numbers. The intervals for fuzzy reliability and fuzzy mean time to system failure are obtained for the scenarios of identical and non-identical failure rates of the components. To verify the authenticity of the results, they are applied to an RLC system, shedding light on assessing complex systems' reliability despite uncertainties in component failure rates.
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