Aggregation methods for reliability and availability calculations

Reliability Engineering and System Safety

Volumn 51, Issue 1, 1996, Pages 23-34

  Devooght, J ^a   Tombuyses, B ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

AVAILABILITY; COMPUTATIONAL METHODS; MARKOV PROCESSES; MATHEMATICAL OPERATORS; PROBLEM SOLVING;

AGGREGATION METHODS; MARKOVIAN RELIABILITY PROBLEMS; PROLONGATION OPERATORS; RESTRICTION OPERATORS;

RELIABILITY;

EID: 0029735895     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/0951-8320(95)00091-7     Document Type: Article

References (12)

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2. Gertsbakh, I. B., Statistical Reliability Theory, Dekker, New York, 1989.
3. Schweitzer, P. J., A survey of aggregation-disaggregation in large Markov chains. In Numerical Solution of Markov Chains, Dekker, New York, 1991, pp.63-88.
4. Delebecque, F., Kokotovic, P. V. & Quadrat, J. P., Commande de systèmes complexes technologiques, 1982, Rapport INRIA.
5. Courtois, P.-J., Decomposability: queuing and computer system application, Academic Press, New York, 1977.
6. 9 and ESREL'94, La Baule, 30 mai-3 juin 1994, CENS, 1994, pp. 368-378.
7. Devooght, J., Bounds for the unreliability of markovian systems, (to be published).
8. Pagès, A. & Gondran, M., Fiabilité des systèmes, Editions Eyrolles, Paris, 1980.
9. Berman, A. & Plemmons, R. J., Nonnegative matrices in the mathematical sciences. Academic Press, New York, 1979.
10. Kemeny, J. G. & Snell, J. L., Finite Markov chains, Springer-Verlag, New York, 1976.
11. Keilson, J., Markov chains models, rarely and exponentiality, Springer-Verlag, New York, 1979.
12. Devooght, J. & Tombuyses, B., The use of the component influence graph to reduce the size of markovian availability problems. Reliab. Engng System Safety, 46 (1994) 237-244.