Reliability of a coherent system in a multicomponent stress-strength model

摘要

Purpose: To show how at least its lower bound of the stress-strength reliability of a multicomponent system, can be derived as a function of the stress-strength reliabilities of its individual component. Summary: In its simplest form, the stress-strength model, defines the reliability of a component as the probability that the strength of the unit X is greater than the stress Y imposed on it, such that R = P(X > Y). The problem of defining reliability in a multicomponent model is more difficult. Many studies have been conducted under various assumptions. Ebrahimi (Ref. 1) considered a series system consisting of p components wherein the system was subjected to q different s-independent stresses and developed an upper bound of the reliability considering exponential and Weibull distributions for strengths. In this, the reliability of the system can depends on the structure of the system. When the stress exceeds the strength, the system would fail and the reliability of the system is the probability that the strength of the system would not exceed the stress level. The strength of the system can be obtained as a function of the strengths of its components. This study generalizes the multicomponent stress strength model for complex coherent when the components are of different strengths and are experiencing the same or different stress levels. (5 refs.)