Markov and Markov reward model transient analysis: An overview of numerical approaches

European Journal of Operational Research

Volumn 40, Issue 2, 1989, Pages 257-267

  Reibman, Andrew ^a   Smith, Roger ^a   Trivedi, Kishor ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

Markov chains; Markov reward models; performability models; performance modeling; reliability modeling; sensitivity analysis; transient analysis

Indexed keywords

RELIABILITY--MATHEMATICAL MODELS;

MARKOV CHAINS; MARKOV REWARD MODELS; PERFORMABILITY MODELS; PERFORMANCE MODELING; TRANSIENT ANALYSIS;

COMPUTER SYSTEMS, DIGITAL;

EID: 0024662516     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-2217(89)90335-4     Document Type: Article

References (32)

1. Performance related reliability for computer systems
2. Sensitivity analysis of reliability and performability measures for a multi-processor system
3. An aggregation technique for the transient analysis of stiff Markov chains
4. Calculating availability and performability measures of repairable computer systems using randomization
5. Calculating cumulative operational time distributions of repairable computer systems
6. Analysis of a composite performance reliability measure for fault-tolerant systems
7. Probabilistic modeling of computer system availability
8. A Measure of Guaranteed Availability
9. Evaluation of performability for degradable computer systems
10. Transient solution in Markovian queueing systems
11. Sensitivity analysis of continuous time Markov chains using uniformization
12. Analysis of performability for stochastic models of fault-tolerant systems
13. Numerical evaluation of performability measures and job completion time in repairable fault-tolerant systems
14. On modeling the performance and reliability of multi-mode computer systems
15. Transient solution of acyclic Markov chains
16. The conservativeness of reliability estimates based on instantaneous coverage
17. Closed-form solutions of performability
18. A method for studying the integral functionals of stochastic processes with applications I The Markov chain case
19. Numerical transient analysis of Markov models
20. Transient analysis of cumulative measures of Markov chain behavior
21. Reliability modeling using SHARPE
22. Markov Reward Models: Application Domains and Solution Methods
23. Performability analysis: measures, an algorithm and a case study
24. Parametric Error Analysis and Coverage Approximation in Reliability Modeling
25. Hybrid modeling of fault-tolerant systems
26. Toward the ultimate difference scheme II: monotonicity and conservation combined in a second order scheme