System Reliability Evaluation for Imperfect Networks Using Polygon-to-Chain Reduction
Open Access
- 1 January 2017
- journal article
- Published by Scientific Research Publishing, Inc. in American Journal of Operations Research
- Vol. 07 (03), 201-224
- https://doi.org/10.4236/ajor.2017.73014
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.Keywords
This publication has 1 reference indexed in Scilit:
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