On the number of losses in an MMPP queue

Authors:
Andrzej Chydzinski;Robert Wojcicki;Grzegorz Hryn
Affiliations:
Silesian University of Technology, Institute of Computer Sciences, Gliwice, Poland;Silesian University of Technology, Institute of Computer Sciences, Gliwice, Poland;Silesian University of Technology, Institute of Computer Sciences, Gliwice, Poland
Venue:
NEW2AN'07 Proceedings of the 7th international conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking
Year:
2007

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Abstract

We present a comprehensive analysis of the packet loss process in a finite-buffer queue fed by the Markov-modulated Poisson process. In particular, solutions for the number of losses in (0,t], the stationary number of losses and the loss ratio are presented in closed forms. Theoretical results are illustrated via numerical examples based on an IP traffic trace file.