Estimation of network reliability using graph evolution models
- 1 December 1991
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Reliability
- Vol. 40 (5) , 572-581
- https://doi.org/10.1109/24.106780
Abstract
Monte Carlo techniques for estimating various network reliability characteristics, including terminal connectivity, are developed by assuming that edges are subject to failures with arbitrary probabilities and nodes are absolutely reliable. The core of the approach is introducing network time-evolution processes and using certain graph-theoretic machinery, resulting in a considerable increase in accuracy for Monte Carlo estimates, especially for highly reliable networks. Simulation strategies and numerical results are presented and discussed.Keywords
This publication has 14 references indexed in Scilit:
- Estimating the s − t Reliability Function Using Importance and Stratified SamplingOperations Research, 1989
- Bounding all-terminal reliability in computer networksNetworks, 1988
- A monte carlo sampling plan for estimating reliability parameters and related functionsNetworks, 1987
- A Monte Carlo Sampling Plan for Estimating Network ReliabilityOperations Research, 1986
- State-Transition Monte Carlo for Evaluating Large, Repairable SystemsIEEE Transactions on Reliability, 1980
- Dagger-Sampling Monte Carlo For System Unavailability EvaluationIEEE Transactions on Reliability, 1980
- Sequential Destruction Method for Monte Carlo Evaluation of System ReliabilityIEEE Transactions on Reliability, 1980
- Set Merging AlgorithmsSIAM Journal on Computing, 1973
- GRAPH THEORYPublished by Defense Technical Information Center (DTIC) ,1969
- On the Shortest Spanning Subtree of a Graph and the Traveling Salesman ProblemProceedings of the American Mathematical Society, 1956