Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 456910, 35 pages
Research Article

Modeling Erlang's Ideal Grading with Multirate BPP Traffic

Chair of Communication and Computer Networks, Poznan University of Technology, Polanka 3, 60-965 Poznan, Poland

Received 20 June 2012; Accepted 9 August 2012

Academic Editor: Piermarco Cannarsa

Copyright © 2012 Mariusz Glabowski et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a complete methodology for modeling gradings (also called non-full-availability groups) servicing single-service and multi-service traffic streams. The methodology worked out by the authors makes it possible to determine traffic characteristics of various types of gradings with state-dependent call arrival processes, including a new proposed structure of the Erlang’s Ideal Grading with the multirate links. The elaborated models of the gradings can be used for modeling different systems of modern networks, for example, the radio interfaces of the UMTS system, switching networks carrying a mixture of different multirate traffic streams, and video-on-demand systems. The results of the analytical calculations are compared with the results of the simulation data for selected gradings, which confirm high accuracy of the proposed methodology.