Reference
T. Van Gestel, K. De Cock, R. Jans, B. De Schutter, Z. Degraeve, and B. De
Moor, "Discrete stochastic modelling of ATM-traffic with circulant transition
matrices,"
Mathematical Theory of Networks and Systems
(Proceedings of the MTNS-98 Symposium, held in Padova, Italy, July 1998)
(A. Beghi, L. Finesso, and G. Picci, eds.), Padova, Italy: Il Poligrafo, pp.
891-894, 1998.
Abstract
In this paper a new approach to the modelling of ATM-traffic is proposed. The
traffic is measured and characterised by its first and second order statistic
moments. A Markov Modulated Poisson Process (MMPP) is used to capture the
information in these two stochastic moments. Instead of a general MMPP, a
circulant MMPP is used to reduce the computational cost. A
circulant MMPP (CMMPP) is an MMPP with a circulant transition matrix. The main
advantages of this approach are that the eigenvalue decomposition is a Fast
Fourier Transform and that the optimisation towards the two stochastic moments
is decoupled. Based on these properties, a fast time domain identification
algorithm is developed.
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BibTeX
@inproceedings{VanDeC:97-109,
author = {Van Gestel, Tony and De Cock, Katrien and Jans, Raf and De
Schutter, Bart and Degraeve, Zeger and De Moor, Bart},
title = {Discrete Stochastic Modelling of {ATM}-Traffic with Circulant
Transition Matrices},
booktitle = {Mathematical Theory of Networks and Systems
\normalfont(Proceedings of the MTNS-98 Symposium, held in
Padova, Italy, July 1998)},
editor = {Beghi, Alessandro and Finesso, Lorenzo and Picci, Giorgio},
publisher = {Padova, Italy: Il Poligrafo},
pages = {891--894},
year = {1998}
}