MCILS: Monte-Carlo Interpolation Least-Square Algorithm for Approximation of Edge-Reliability Polynomial

Abstract

Edge reliability problem has many applications in different field of science and engineering such as: cognitive science, neuroscience, electrical engineering, network science and so on. The major challenge in this problem is time complexity of the exact algorithm. Computing the reliability of a network is NP-hard problem. So, computing the reliability of a large scale network is a challenging problem. In this paper, we present a novel algorithm based on a hybrid Monte-Carlo, interpolation and least-square methods to approximate the reliability of a network. The presented algorithm is applied on some networks that the exact reliability polynomial is available for them. the experiments show that the presented algorithm is accurate and robust.