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Erschienen in:
2008 | OriginalPaper | Buchkapitel
A Hessenberg Markov Chain for Fast Fibre Delay Line Length Optimization
verfasst von : Joke Lambert, Wouter Rogiest, Benny Van Houdt, Dieter Fiems, Chris Blondia, Herwig Bruneel
Erschienen in: Analytical and Stochastic Modeling Techniques and Applications
Verlag: Springer Berlin Heidelberg
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In this paper we present an approach to compute the invariant vector of the
N
+ 1 state Markov chain
P
presented in (Rogiest
et al.
, Lecture Notes in Computer Science, NET-COOP 2007 Special Issue, pp. 4465:185-194) to determine the loss rate of an FDL buffer consisting of
N
lines, by solving a related Hessenberg system (i.e., a Markov chain skip-free in one direction). This system is obtained by inserting additional time instants in the sample paths of
P
and allows us to compute the loss rate for various FDL lengths by solving a single system. This is shown to be especially effective in reducing the computation time of the heuristic LRA algorithm presented in (Lambert
et al.
, Proc. NAEC 2005, pp. 545-555) to optimize the FDL lengths, where improvements of several orders of magnitude can be realized.