Transient analysis of cumulative measures of markov model behavior

Communications in Statistics. Stochastic Models

Volumn 5, Issue 4, 1989, Pages 683-710

  Reibman, Andrew ^a   Trivedi, Kishor ^b  

^a LUCENT TECHNOLOGIES   (United States)

^b DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000183794     PISSN: 08820287     EISSN: None     Source Type: Journal    
DOI: 10.1080/15326348908807130     Document Type: Article

References (18)

1. R. Bank, W. Courghran, W. Fichtner, E. Grosse, D. Rose, and R. Smith. Transient simulation of silicon devices and circuits. IEEE Transactions on CAD, 4(4): 436-451, October 1985.
2. E. de Souza e Silva and H. R. Gail. Calculating cumulative operational time distributions of repairable computer systems. IEEE Transactions on Computers, 35(4): 322-332, April 1986.
3. C. W. Gear. Numerical Initial Value Problems in Ordinary Differential Equations. Prentice-Hall, Englewood Cliffs, NJ, 1971.
4. G. H. Golub and C. F. Van Loan. Matrix Computations. John Hopkins University Press, Baltimore, MD, 1983.
5. A. Goyal, S. Lavenberg, and K. Trivedi. Probabilistic modeling of computer system availability. Annals of Operations Research, 8: 285-306, 1987.
6. W. K. Grassmann. Means and variances of timeaverages in Markovian enviroments. European J. of Operations Research, 31(1): 132-139, 1987.
7. W. K. Grassmann. Transient solution in Markovian queueing systems. Computers and Operations Research, 4: 47-56, 1977.
8. D. Gross and D. Miller. The randomization technique as a modeling tool and solution procedure for transient Markov processes. Operations Research, 32(2): 334-361, 1984.
9. J. D. Lambert. Computational Methods in Ordinary Differential Equations. John Wiley & Sons, London, 1973.
10. S.S. Lavenberg. Computer Performance Modeling Handbook. Academic Press, 1983.
11. R. A. Marie, A. L. Reibman, and K. S. Trivedi. Transient solution of acyclic Markov chains. Performance Evaluation, 7(3): 175-194, 1987.
12. B. Melamed and M. Yadin. Randomization procedures in the computation of cumulative-time distributions over discrete state Markov processes. Operations Research, 32(4): 926-944, 1984.
13. W. L. Miranker. Numerical Methods for Stiff Equations and Singular Perturbation Problems. D. Reidel, Dordrecht, Holland, 1981.
14. P. M. Morse. Queues, Inventories, and Maintenance: The Analysis of Operation Systems with Variable Supply and Demand. J. Wiley & Sons, New York, 1958.
15. A. L. Reibman and K. S. Trivedi. Numerical transient analysis of Markov models. Computers and Operations Research, 15(1): 19-36, 1988.
16. R. A. Sahner and K. S. Trivedi. Reliability modeling using SHARPE. IEEE Transactions on Reliability, R-36(2): 186-193, June 1987.
17. D. Siewiorek, V. Kini, R. Joobani, and H. Bellis. A case study of C.mmp, Cm' and C.vmp: part ii — predicting and calibrating reliability of multiprocessor systems. Proceedings of the IEEE, 1200-1220, October 1978.
18. R. M. Smith, K. S. Trivedi, and A. V. Ramesh. Performability analysis: measures, an algorithm and a case study. IEEE Transactions on Computers, C-37(4): 406-417, April 1988.