Estimating the Reliability of Complex Systems Using Various Bounds Methods

Abstract

Estimating terminal reliability precisely is impractical in complex systems. As a result, lower and upper bounds for two-terminal reliability as well as estimation methods have been instated. Our method for determining the lower and upper bounds of a complex system's reliability employs a listed set of minimal paths and a listed set of minimal cuts. This paper's goal is to present a modern assessment of reliability bounds for binary coherent systems, as well as a comparison of various reliability bounds in terms of subjective, mathematical, and efficiency factors. The Safety-CriticalSystem (SCS) uses an illustrative model to show the reliability designer when to implement certain constraints. This is done in the context of a complex system with complex connections. Simulations and numerical examples have shown that the new design generally improves Spross, Esary-Proschan, EdgePacking, and Linear and Quadratic bounds, especially for systems that are very reliable.