Stress–Strength Reliability of a Failure Profile with Components Operating under the Internal Environmental Factors

Abstract

In this paper, we study the stress–strength reliability of a failure profile in which, the components of the system are affected by the internal environmental factors. The internal environmental factors commonly change the random strength of a failure profile and have different effects on the random strength of profile components. Throughout this study, we investigated the effect of internal environmental factors under the various scenarios and computed the stress–strength reliability of a failure profile of order [Formula: see text]. Particularly, the stress–strength reliability of a [Formula: see text]-out-of-[Formula: see text] system has been evaluated based on several stochastic orders. In addition, the sensitivity analysis of the stress–strength reliability and the mean cost rate of failure profiles have been performed in the exponential model.

Multi-Indicator Fused Resilience Assessment of Power Grids Considering Wind-Photovoltaic Output Uncertainty during Typhoon Disasters

“…When the component design wind load exceeds the actual wind load, the component can be operated reliably; conversely, when the component design wind load is less than the actual wind load, the component may fail. It is assumed that the component design wind loads and actual wind loads follow probability distributions g(W) and f (w), respectively, and the failure probability of the lines and the towers in this period can be obtained by the stress-strength interference method [58], as shown in Equation ( 20) and Figure 2.…”