Dependability analysis of systems modeled by non-homogeneous Markov chains

Reliability Engineering and System Safety

Volumn 61, Issue 3, 1998, Pages 235-249

  Platis, Agapios ^a,b   Limnios, Nikolaos ^b   Le Du, Marc ^a  

^a EDF R AND D   (France)

^b UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AVAILABILITY; HAZARDS; MAINTAINABILITY; MARKOV PROCESSES; MATHEMATICAL MODELS; NUMERICAL METHODS;

DEPENDABILITY ANALYSIS; PERFORMABILITY;

RELIABILITY THEORY;

EID: 0032156407     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0951-8320(97)00073-2     Document Type: Article

References (16)

1. Allan, R. N., and Billinton, R., Reliability evaluation of power systems, Plenum Press, 1990.
2. Csenki, A., Dependability for Systems with a Partitioned State Space, Lecture Notes in Statistics, Springer-Verlag, New York, 1994.
3. Gerontidis, I. Cyclic strong ergodicity in non-homogeneous Markov systems. SIAM J. Matrix Anal. Appl. 1992, 13(2), 550-566.
4. Limnios, N., Processus Stochastiques et Fiabilité (Stochastic processes and reliability), CS-61 course-DEA-System Control-UTC, 1994.
5. Limnios, N. Throughput availability in Markov systems. IEEE Transactions on Reliability, 1992, C-41(2), 219-224.
6. Limnios, N. Dependability analysis of semi-Markov systems. Reliability Engineering and System Safety, 1995, 55, 203-207.
7. Meyer, J. F., On evaluating the Performability of Degradable Computing Systems, IEEE Transactions on Computers, C-29 No. 8, 1980.
8. Pagès, A. and Gondran, M., Fiabilité des systèmes (System Reliability), Eyrolles, Paris, 1980.
9. Pattipati Krishna, R., Li, Y. & Blom Henk, A. P. A unified framework for the performability evaluation of fault-tolerant computer systems. IEEE Transactions on Computers, 1993, 42(3), 312-326.
10. Platis, A., Limnios, N. and Le Du, M., Electrical Substation Performability & Reliability Indicators modeled by Non-Homogeneous Markov Chains. In ESREL'96-PSAM-III International Conference, Crete, June 1996.
11. Platis, A., Limnios, N. & Le Du, M. Performability of electrical power systems modeled by non-homogeneous Markov chains. IEEE Transactions on Reliability, 1996, 45(4), 605-610.
12. Platis, A., Limnios, N. and Le Du, M., Asymptotic Availability of Systems Modeled by Non-Homogeneous Markov Chains. In Annual Maintainability & Reliability Symposium, Philadelphia, January 1997.
13. Rubio, G. & Sericola, B. Sojourn times in Semi-Markov reward processes: application to fault-tolerant systems modeling. Reliability Engineering and System Safety, 1993, 41, 1-4.
14. Sericola, B. Closed-form solution for the distribution of the total time spent in a subset of states of a homogeneous Markov process during a finite observation period. Journal of Applied Probability, 1990, 27, 713-719.
15. Smith, R.M., Kishor, S., Trivedi and Ramesh, A.V., Performability Analysis: Measures, an Algorithm, and a Case Study, IEEE Transactions on Computers, 37(4) 1988.
16. Feller, W., An Introduction to Probability Theory and its Applications, vol. 1, Wiley, 1968.