Reliability of Series and Parallel Systems with Correlated Nodes

TL;DR

This paper develops a mathematical method to analyze the reliability of complex systems with correlated traffic arriving at components, providing a way to derive the system's survival function for various configurations.

Contribution

It introduces a novel approach to model and analyze systems with correlated Poisson arrivals, extending reliability analysis to more realistic network scenarios.

Findings

Method to construct correlated Poisson traffic systems

Derivation of survival functions for arbitrary topologies

Applicable to diverse system configurations

Abstract

Consider a system of N components in which traffic arrives as separate but correlated nonhomogenous Poisson streams to each node rather than passing into the system at one entry point. A method is given to construct such systems mathematically and derive the survival function of the system for any logical topology.