Network reliability evaluation

This article, beyond presenting a spectrum of network reliability methods studied in the past decades, describes a scalable innovative ‘overlap technique’ to tackle large complex networks' reliability evaluation difficulties, which cannot be handled by straightforward reliability block diagramming (RBD) techniques used for the simple parallel-series topologies. Examples are shown on how to apply the overlap algorithm to compute the ingress-egress reliability. Monte Carlo simulations demonstrate the methods discussed. (1) Static (time independent), (2) dynamic (time dependent) using a versatile Weibull distribution to represent the multiple stages of network components from infancy to useful life period and to wear-out, and (3) multistate versions to include derated behavior beyond conventional working and nonworking states, are illustrated for calculating the directional source-target (s-t) reliability of complex networks by using the Java software ERBDC: Exact Reliability Block Diagramming Calculator. Copyright © 2010 John Wiley & Sons, Inc. For further resources related to this article, please visit the WIREs website.

[1]  Rong-Hong Jan Design of reliable networks , 1993, Comput. Oper. Res..

[2]  George S. Fishman A Comparison of Four Monte Carlo Methods for Estimating the Probability of s-t Connectedness , 1986, IEEE Transactions on Reliability.

[3]  Gregory Levitin,et al.  Multi-State System Reliability - Assessment, Optimization and Applications , 2003, Series on Quality, Reliability and Engineering Statistics.

[4]  C. V. Ramamoorthy,et al.  Reliability Analysis of Systems with Concurrent Error Detection , 1975, IEEE Transactions on Computers.

[5]  M. Sahinoglu An algorithm to code and decode complex systems, and to compute s-t reliability , 2005, Annual Reliability and Maintainability Symposium, 2005. Proceedings..

[6]  Kishor S. Trivedi,et al.  An improved algorithm for coherent-system reliability , 1998 .

[7]  Mehmet Sahinoglu Reliability Index Evaluations of Integrated Software Systems (Internet) for Insufficient Software Failure and Recovery Data , 2000, ADVIS.

[8]  Kishor S. Trivedi,et al.  A survey of efficient reliability computation using disjoint products approach , 1995, Networks.

[9]  Charles J. Colbourn Combinatorial aspects of network reliability , 1991, Ann. Oper. Res..

[10]  M. Sahinoglu,et al.  Empirical-Bayesian availability indices of safety and time critical software systems with corrective maintenance , 1999, Proceedings 1999 Pacific Rim International Symposium on Dependable Computing.

[11]  Sunil R. Das,et al.  Measuring availability indexes with small samples for component and network reliability using the Sahinoglu-Libby probability model , 2005, IEEE Transactions on Instrumentation and Measurement.

[12]  C. V. Ramamoorthy,et al.  RBD tools using compression, decompression, hybrid techniques to code, decode, and compute reliability in simple and complex embedded systems , 2005, IEEE Transactions on Instrumentation and Measurement.

[13]  Suresh Rai,et al.  Reliability Evaluation in Computer-Communication Networks , 1981, IEEE Transactions on Reliability.

[14]  Alice E. Smith,et al.  Efficient optimization of all-terminal reliable networks, using an evolutionary approach , 1997 .

[15]  Kishor S. Trivedi,et al.  A BDD Approach to Dependability Analysis of Distributed Computer Systems with Imperfect Coverage , 2000 .