Adaptive Uniformization: Technical Details

  title={Adaptive Uniformization: Technical Details},
  author={Aad P. A. van Moorsel and William H. Sanders},
This paper discusses technical aspects related to adaptive uniformization [1]. We give the derivation of the schemes that we have used to compute the jump probabilities. We also give some more detailed results about the complexity of adaptive uniformization. This paper is not self contained, but is a supplement to [1]. A. P. A. van Moorsel has been supported by the Netherlands Organization for Scienti c Research (NWO), grants R62-385 and SIR13-1260. W. H. Sanders has been supported, in part, by… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 10 references

Adaptive Uniformization", Memoranda Informatica, University of Twente

A.P.A. van Moorsel, W. H. Sanders
The Netherlands, • 1992
View 10 Excerpts
Highly Influenced

Recursion Theorem on Solving Di erential-Di erence Equations and Applications to some Stochastic Processes

N. C. Severo
J. Appl. Prob • 1969
View 3 Excerpts
Highly Influenced

Numerical transient solution of nite Markovian queueing systems", to appear in: Queueing and Related Models, U.Bhat (Ed.)

J. K. Muppala, K. S. Trivedi
View 2 Excerpts

On the Transient Analysis of Sti Markov Chains

J. Dunkel, H. Stahl
Proc. Third Working Conference on Dependable Computing for Critical Applications, • 1992
View 2 Excerpts

Splitting Technique for Markov Chain Transient Solution

A. Reibman
Numerical Solution of Markov Chains, • 1991
View 1 Excerpt

Shanthikumar, \Bounds and Approximations for the Transient Behavior of Continuous-Time Markov Chains

J.G.B.S. Yoon
Prob. Eng. Inf. Sc • 1989
View 1 Excerpt

Glynn, \Computing Poisson Probabilities

P.W.B.L. Fox
Comm. ACM • 1988
View 1 Excerpt

Transient Analysis of MarkovModels", Comput

A. Reibman, K. S. Trivedi, Numerical
Opns Res • 1988
View 2 Excerpts