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

Publication ,  Journal Article
Reibman, A; Smith, R; Trivedi, K
Published in: European Journal of Operational Research
May 25, 1989

The advent of fault-tolerant, distributed systems has led to increased interest in analytic techniques for the prediction of reliability, availability, and combined performance and reliability measures. Markov and Markov reward models are common tools for fault-tolerant system reliability prediction. In this paper, we first derive instantaneous and cumulative measures of Markov and Markov reward model behavior. We then compare the complexity of several competing algorithms for the computation of these measures. Better approaches for Markov model solution should lead to more effective techniques for fault-tolerant system modeling. © 1989.

Duke Scholars

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Published In

European Journal of Operational Research

DOI

ISSN

0377-2217

Publication Date

May 25, 1989

Volume

40

Issue

2

Start / End Page

257 / 267

Related Subject Headings

  • Operations Research
  • 49 Mathematical sciences
  • 46 Information and computing sciences
  • 40 Engineering
 

Citation

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Reibman, A., Smith, R., & Trivedi, K. (1989). Markov and Markov reward model transient analysis: An overview of numerical approaches. European Journal of Operational Research, 40(2), 257–267. https://doi.org/10.1016/0377-2217(89)90335-4
Reibman, A., R. Smith, and K. Trivedi. “Markov and Markov reward model transient analysis: An overview of numerical approaches.” European Journal of Operational Research 40, no. 2 (May 25, 1989): 257–67. https://doi.org/10.1016/0377-2217(89)90335-4.
Reibman A, Smith R, Trivedi K. Markov and Markov reward model transient analysis: An overview of numerical approaches. European Journal of Operational Research. 1989 May 25;40(2):257–67.
Reibman, A., et al. “Markov and Markov reward model transient analysis: An overview of numerical approaches.” European Journal of Operational Research, vol. 40, no. 2, May 1989, pp. 257–67. Scopus, doi:10.1016/0377-2217(89)90335-4.
Reibman A, Smith R, Trivedi K. Markov and Markov reward model transient analysis: An overview of numerical approaches. European Journal of Operational Research. 1989 May 25;40(2):257–267.
Journal cover image

Published In

European Journal of Operational Research

DOI

ISSN

0377-2217

Publication Date

May 25, 1989

Volume

40

Issue

2

Start / End Page

257 / 267

Related Subject Headings

  • Operations Research
  • 49 Mathematical sciences
  • 46 Information and computing sciences
  • 40 Engineering