This paper, introduces the minimal path method in order to solve the network model, which
represents an electric system used inside spacecraft, and its reliability polynomial have …

This paper utilizes the geometric interpretations that were used to analyze the reliability of
an electrical system that is used inside a spacecraft. Several new ideas have been …

The fuzzy T—norms and T—conorms offer alternatives to compute the classical structural
polynomial of a complex circuit. The reliability of a special complex 4-node circuit were …

This paper presents the Matrix-based minimal paths technique in order to solve the system
model that represent a Complex Safety-Critical System (CSCS) with eight components, and …

The definition of a system's signature is important not just in binary coherent systems
analysis but also for evaluating the reliability of complex systems. The combinatorial …

In this paper, we present a new method to deduce minimal cut sets depending on the
minimal path sets of the complex systems (networks) to generate the Incidence Matrix, and …

The precise two-terminal reliability calculation becomes more difficult when the numeral of
components of the complex system increases. The accuracy of approximation methods is …

In this paper, we have applied some of the basic concepts of graph and probability theories,
such as, total probability law, conditional probability approach, deletion, etc., in which the …

The original results include:(i) homogenization of a reliability polynomial;(ii) compact
hypersurfaces attached to homogeneous polynomials;(iii) an affine diffeomorphism that …

This paper employs an algebraic technique to find minimum cut sets, in order to evaluate the
reliability of an electrical system used inside a spacecraft, useful especially when the system …