This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
A Measure of Guaranteed Availability and its Numerical Evaluation
January 1988 (vol. 37 no. 1)
pp. 25-32
A success (risk) measure of guaranteed availability is proposed. Using a genetic system model, the authors describe the measure and study the effects of the guaranteed level and the observation period on it. Furthermore, they introduce a numerical approach for continuous-time Markov chain models which allows component-level modeling, Coxian failure and repair distributions, time-dependent failu

[1] A. Costes, J. E. Doucet, C. Landrault, and J. C. Laprie, "SURF: A program for dependability evaluation of complex fault-tolerant computing systems," inProc. FTCS-II, Portland, ME, June 1981, pp. 72- 78.
[2] E. de Souza e Silva and H. R. Gail, "Calculating cumulative operational time distributions of repairable computer systems,"IEEE Trans. Comput., vol. C-35, pp. 322-332, 1986.
[3] A. Goyal, W. C. Carter, E. de Souza e Silva, S. S. Lavenberg, and K. S. Trivedi, "The system availability estimator," inProc. FTCS-16, Vienna, Austria, July 1986.
[4] A. Goyal, S. S. Lavenberg, and K. S. Trivedi, "Probabilistic modeling of computer system availability,"Ann. Oper. Res., vol. 8, pp. 285- 306, 1987.
[5] A. Goyal and A. N. Tantawi, "Numerical evaluation of guaranteed availability," inProc. FTCS-15, Ann Arbor, MI, June 1985.
[6] V. G. Kulkarni, V. F. Nicola, R. M. Smith, and K. S. Trivedi, "Numerical evaluation of performability measures and job completion time in repairable fault-tolerant systems," inProc. FTCS-16, Vienna, Austria, July 1986.
[7] S. V. Makam and A. Avizienis, "ARIES81: A reliability and life-cycle evaluation tool for fault-tolerant systems," inProc. FTCS-12, Santa Monica, CA, June 1982, pp. 267-274.
[8] T. Nakagawa and A. L. Goel, "A note on availability for a finite interval,"IEEE Trans. Reliability, vol. R-22, pp. 271-272, Dec. 1973.
[9] W. L. Smith, "Renewal theory and its ramifications,"J. Roy. Statist. Soc. Ser. B., vol. 20, pp. 243-302, 1958.

Index Terms:
success measure; risk measure; guaranteed availability; numerical evaluation; continuous-time Markov chain models; component-level modeling; Coxian failure and repair distributions; time-dependent failure and repair rates; deferred repair; nondeferred repair; fault-tolerant database computer system; fault tolerant computing; function approximation; Markov processes; numerical methods.
Citation:
A. Goyal, A.N. Tantawi, "A Measure of Guaranteed Availability and its Numerical Evaluation," IEEE Transactions on Computers, vol. 37, no. 1, pp. 25-32, Jan. 1988, doi:10.1109/12.75148
Usage of this product signifies your acceptance of the Terms of Use.