Abstract
The computation of workload distributions of service systems in telecommunication networks is essential for determining quality of service (QoS) parameters for various types of data transfer traffic. We discuss the relation of QoS demands from the end-to-end perspective of users to possible QoS degradation by network elements e.g. when overload situations are encountered. Modeling and analysis approaches of performance measures in multi service networks are also summarized with regard to the representation of usual traffic pattern being observed in the Internet. Depending on the model, there are different ways to determine workload distributions. We investigate Wiener-Hopf factorization as an efficient approach for discrete time semi-Markovian server systems. A numerical solution of the steady state workload distribution is computed in extension of an algorithm by Grassmann and Jain. After a verification step the guaranteed workload distribution can be computed using interval arithmetic. A C++ tool for this modeling approach using C-XSC is presented as well as examples of the evaluation.
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Fausten, D., Haßlinger, G. (2004). Verified Numerical Analysis of the Performance of Switching Systems in Telecommunication. In: Alt, R., Frommer, A., Kearfott, R.B., Luther, W. (eds) Numerical Software with Result Verification. Lecture Notes in Computer Science, vol 2991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24738-8_12
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DOI: https://doi.org/10.1007/978-3-540-24738-8_12
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