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
Simulation Modeling and Analysis
Simulation Modeling and Analysis
Introduction to Probability Models, Ninth Edition
Introduction to Probability Models, Ninth Edition
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Exactly computing network reliability measures is an NP-hard problem. Therefore, Monte Carlo simulation has been frequently used by network designers to obtain accurate estimates. This paper focuses on simulation estimation of network reliability. Using a heap data structure, efficient implementation of a previous approach, dagger sampling, is proposed. Two new techniques, geometric sampling and block sampling, are developed to efficiently sample states of a network. These techniques are event-driven rather than time-driven, and are thus efficient for highly reliable networks. To test relative performance, computational experiments are carried out on various types of networks using the new procedures.