TITLE:
System Reliability Evaluation for Imperfect Networks Using Polygon-to-Chain Reduction
AUTHORS:
Mohamed-Larbi Rebaiaia, Daoud Ait-Kadi
KEYWORDS:
Reliability, Networks, Algorithms, Factorization, Polygon-to-Chain Reduction, Decomposition
JOURNAL NAME:
American Journal of Operations Research,
Vol.7 No.3,
May
22,
2017
ABSTRACT: The purpose of this paper is to propose a computational technique for evaluating the reliability of networks subject to stochastic failures. In this computation, a mathematical model is provided using a technique which incorporates the effect of the factoring decomposition theorem using polygon-to-chain and series-parallel reductions. The algorithm proceeds by identifying iteratively one of seven polygons and when it is discovered, the polygon is immediately removed and replaced by a simple chain after having changed the individual values of the reliability of each edge and each node of the polygon. Theoretically, the mathematical development follows the results presented by Satyanarayana & Wood and Theologou & Carlier. The computation process is recursively performed and less constrained in term of execution time and memory space, and generates an exact value of the reliability.