Analysis and reliability of separable systems

The operation of a system, such as vehicle, communication network or automatic process, heavily depends on the correct its components. A Stochastic Binary System (SBS) mathematically models behavior on-off systems, where components are subject to probabilistic failures. Our goal is understand reliability global system. evaluation an SBS belongs class NP-Hard problems, and combinatorics imposes several challenges. In previous work by same authors, special sub-class SBSs called separable systems was introduced. These accept efficient representation linear inequality binary states However, still hard. theoretical contribution in understanding given. We fully characterize under all-terminal model, finding that they admit this relevant context.