%0 Journal Article
%T System Reliability Evaluation for Imperfect Networks Using Polygon-to-Chain Reduction
%A Mohamed-Larbi Rebaiaia
%A Daoud Ait-Kadi
%J American Journal of Operations Research
%P 201-224
%@ 2160-8849
%D 2017
%I Scientific Research Publishing
%R 10.4236/ajor.2017.73014
%X 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.
%K Reliability
%K Networks
%K Algorithms
%K Factorization
%K Polygon-to-Chain Reduction
%K Decomposition
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=76311