Abstract
A system comprising k identical components is considered. The system load that is common to all components is treated as a random variable, modeled by a one-parameter Exponential distribution. Each component's resistance to load is also taken as a random variable, modeled by another one-parameter Exponential distribution that applies to each component. The system is considered redundant, meaning that the system remains operative so long as any m out of k components function, where 1≤m≤k. An expression for system reliability of this load-strength model is derived. The maximum likelihood estimator is compared with the structural expectation of system reliability.
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