The Conservativeness of Reliability Estimates Based on Instantaneous Coverage
IEEE Transactions on Computers
Coverage Modeling for Dependability Analysis of Fault-Tolerant Systems
IEEE Transactions on Computers
Dependability evaluation of a class of multi-loop topologies for local area networks
IBM Journal of Research and Development
Routing and Dimensioning in Circuit-Switched Networks
Routing and Dimensioning in Circuit-Switched Networks
The Combinatorics of Network Reliability
The Combinatorics of Network Reliability
Advances in Distributed System Reliability
Advances in Distributed System Reliability
Distributed Computing Network Reliability
Distributed Computing Network Reliability
FTCS '95 Proceedings of the Twenty-Fifth International Symposium on Fault-Tolerant Computing
Using Markov chain analysis to study dynamic behaviour in large-scale grid systems
AusGrid '09 Proceedings of the Seventh Australasian Symposium on Grid Computing and e-Research - Volume 99
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A private or corporate network connects the offices of a single large organization, such as an airline or a bank, using leased private lines. To improve the reliability of network applications, fault-tolerance can be incorporated directly into the private network. In this paper, we use a state-space model to capture the effect of dynamic rerouting and repair and investigate the effect on reliability of different repair-and-rerouting strategies at the application or call level. To reduce the potentially large state space that results, we construct an approximate Markov model with a smaller state space by lumping together similar states. The lumped model includes coverage parameters that can be estimated without considering the original model in its entirety. This allows the state-space model to be solved accurately and efficiently. We compare results of the approximation technique with results obtained by a complete simulation of the original network. We expect similar approximation techniques to be effective on models with large state spaces which obtain processes with many time-scales.