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

A. H. Hadian-Rasanan, D. Rahmati, S. Gorgin, J. Rad
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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.
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边缘可靠性多项式逼近的蒙特卡罗插值最小二乘算法
边缘可靠性问题在认知科学、神经科学、电子工程、网络科学等不同的科学和工程领域有着广泛的应用。该问题的主要挑战是精确算法的时间复杂度。计算网络的可靠性是NP-hard问题。因此,计算大规模网络的可靠性是一个具有挑战性的问题。本文提出了一种基于蒙特卡罗、插值和最小二乘混合方法的网络可靠性近似算法。将该算法应用于具有精确可靠性多项式的网络。实验结果表明,该算法具有较好的鲁棒性和准确性。
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