Performance analysis of multiple access protocols
Performance analysis of multiple access protocols
Numerical algorithms with C
The PH/PH/1 queue at epochs of queue size change
Queueing Systems: Theory and Applications
Equilibrium point analysis of the binary exponential backoff algorithm
Computer Communications
Modeling of H.264 high definition video traffic using discrete-time semi-Markov processes
ITC20'07 Proceedings of the 20th international teletraffic conference on Managing traffic performance in converged networks
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In the analysis of queueing systems, many approaches have been developed with different properties regarding the complexity and numerical stability of the computation. We have studied factorization methods, which proved to be efficient for traffic modelling in telecommunication systems as well as classical queueing systems.Since the traffic rate on each transmission link is limited by a constant forwarding capacity, discrete time models with distributions of finite support are then appropriate, including deterministic service as the simplest case. On the other hand, various autocorrelation structures of Internet traffic are taken into account using semi-Markovian modeling.We have developed the InterVerdiKom tool starting with steady state analysis of semi-Markov systems in discrete time based on Wiener-Hopf and polynomial factorization. The tool has been applied to evaluate the performance of switching systems with input from superposed on-off sources and for video traffic. Using approximations of a Gaussian distribution function at stepwise refined discretization granularity, even servers with a first order autoregressive input have been analyzed at a controllable accuracy level.The tool makes use of interval arithmetic for verification of the accuracy of results of the steady state solution methods and has been extended recently to include transient system behavior.