A Monte Carlo sampling plan for estimating network reliability
Operations Research
Lower bounds on two-terminal network reliability
Discrete Applied Mathematics
A highly efficient Monte Carlo method for assessment of system reliabilty based on a Markov model
American Journal of Mathematical and Management Sciences
The Combinatorics of Network Reliability
The Combinatorics of Network Reliability
Estimation of all-terminal network reliability using an artificial neural network
Computers and Operations Research
International Journal of Interdisciplinary Telecommunications and Networking
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Network reduction techniques are mainly used with exact approaches such as factoring to compute network reliability. However, exact computation of network reliability is feasible only for small sized networks. Simulation is an alternative approach to estimate network reliability. This paper discuses the effect of using network reductions before estimating network reliability using a simulation. Theoretical and empirical results are provided to understand the source of variance reduction in simulation due to network reductions.