1 Transient Solutions for Markov Chains

  title={1 Transient Solutions for Markov Chains},
  author={Edmundo de Souza e Silva and H. Richard Gail},
1 DEFINITION OF TRANSIENT MEASURES Much of the theory developed for solving Markov chain models is devoted to obtaining steady state measures, that is, measures for which the observation interval (0, t) is “sufficiently large” (t → ∞). These measures are indeed approximations of the behavior of the system for a finite, but long, time interval, where long means with respect to the interval of time between occurrences of events in the system. However, an increasing number of applications requires… CONTINUE READING
Highly Cited
This paper has 51 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications citing this paper.
Showing 1-10 of 31 extracted citations

51 Citations

Citations per Year
Semantic Scholar estimates that this publication has 51 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 76 references

Means and variances of time averages in Markovian environments

  • W. Grassmann
  • European Journal of Operational Research
  • 1987
Highly Influential
5 Excerpts

Finding transient solutions in Markovian event systems through randomization

  • W. Grassmann
  • 1991
Highly Influential
4 Excerpts

The GI / PH / 1 queue : a method to find the transition matrix

  • W. Grassmann
  • 1982
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…