Some new Markovian models for traffic and performance evaluation of telecommunication networks

Authors:
Ram Chakka;Tien Van Do
Affiliations:
Meerut Institute of Engineering and Technology, Meerut, India;Department of Telecommunications, Budapest University of Technology and Economics, Budapest, Hungary
Venue:
Network performance engineering
Year:
2011

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Abstract

A new queueing model is proposed, namely the MM ΣKk=1 CPPk/GE/c/LG-Queue, also known as the Sigma queue. A steady state solution for this queue in a computable form is presented, based on an analytic methodology applying certain nontrivial transformations on the balance equations, which turn out to be of the QBD-M (Quasi Simultaneous-Multiple-Bounded Births and Deaths) type. As a consequence, existing methods such as the spectral expansion method or the matrix-geometric method can be used to obtain the steady state probabilities. The utility of this queue is demonstrated through the performance analysis of an optical burst switching (OBS) node. Numerical results show the impact of the burstiness of arrival process on the performance of the OBS multiplexe