Probability and Statistics with Reliability, Queuing and Computer Science Applications
Probability and Statistics with Reliability, Queuing and Computer Science Applications
Analysis of a composite performance reliability measure for fault-tolerant systems
Journal of the ACM (JACM)
Modeling and analysis of computer system availability
IBM Journal of Research and Development
A Measure of Guaranteed Availability and its Numerical Evaluation
IEEE Transactions on Computers
Performability Analysis: Measures, an Algorithm, and a Case Study
IEEE Transactions on Computers - Fault-Tolerant Computing
Journal of the ACM (JACM)
Bounding availability of repairable computer systems
SIGMETRICS '89 Proceedings of the 1989 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Bounding Availability of Repairable Systems
IEEE Transactions on Computers
On the Computational Aspects of Performability Models of Fault-Tolerant Computer Systems
IEEE Transactions on Computers
Analyzing Scheduled Maintenance Policies for Repairable Computer Systems
IEEE Transactions on Computers
On Evaluating the Cumulative Performance Distribution of Fault-Tolerant Computer Systems
IEEE Transactions on Computers
On the Optimal Checkpointing of Critical Tasks and Transaction-Oriented Systems
IEEE Transactions on Software Engineering
State space exploration in Markov models
SIGMETRICS '92/PERFORMANCE '92 Proceedings of the 1992 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
Computing bounds on steady state availability of repairable computer systems
Journal of the ACM (JACM)
IEEE Transactions on Computers - Special issue on fault-tolerant computing
Calculating transient distributions of cumulative reward
Proceedings of the 1995 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
Regenerative randomization: theory and application examples
Proceedings of the 1995 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
Availability Analysis of Repairable Computer Systems and Stationarity Detection
IEEE Transactions on Computers
A Variational Calculus Approach to Optimal Checkpoint Placement
IEEE Transactions on Computers
A Unified Framework for the Performability Evaluation of Fault-Tolerant Computer Systems
IEEE Transactions on Computers
Incorporation of Optimal Timeouts into Distributed Real-Time Load Sharing
IEEE Transactions on Computers
Conservative Parallel Simulation of Continuous Time Markov Chains Using Uniformization
IEEE Transactions on Parallel and Distributed Systems
Computers and Operations Research
A new methodology for calculating distributions of reward accumulated during a finite interval
FTCS '96 Proceedings of the The Twenty-Sixth Annual International Symposium on Fault-Tolerant Computing (FTCS '96)
Solving large interval availability models using a model transformation approach
Computers and Operations Research
A light-weight solution for large sparse Markov processes
Proceedings of the 43rd annual Southeast regional conference - Volume 1
Fast evaluation of the moments of the interval availability of large Markov models
Proceedings of the 2nd international conference on Performance evaluation methodologies and tools
Modelling Grid5000 point availability with SAN
Electronic Notes in Theoretical Computer Science (ENTCS)
A generalized formulation for the performability indicator
Computers & Mathematics with Applications
Interval availability estimation for protected connections in optical networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
INFORMS Journal on Computing
A unified approach to the moments based distribution estimation – unbounded support
EPEW'05/WS-FM'05 Proceedings of the 2005 international conference on European Performance Engineering, and Web Services and Formal Methods, international conference on Formal Techniques for Computer Systems and Business Processes
A fast algorithm for the transient reward distribution in continuous-time Markov chains
Operations Research Letters
INFORMS Journal on Computing
A New General-Purpose Method for the Computation of the Interval Availability Distribution
INFORMS Journal on Computing
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We consider repairable computer systems, those for which repair can be performed to put the system back in operation. The behavior of the system is assumed to be modeled as a homogeneous Markov process. We calculate numerically the distribution of cumulative operational time, which is the distribution of the total time during which the system was in operation over a finite observation period. The method is based on the randomization technique. The main advantages include the ability to specify error tolerances in advance, numerical stability, and simplicity of implementation. We also show that other quantities of interest can be calculated as a byproduct of the method without any significant extra computational effort.