Journal of Applied Mathematics
Volume 2012 (2012), Article ID 862809, 13 pages
Research Article

Erlang's Fixed-Point Approximation for Performance Analysis of HetNets

1School of Computer Science and Software Engineering, Tianjin Polytechnic University, Tianjin 300387, China
2School of Electronic Engineering and Computer Science, Queen Mary, University of London, London E1 4NS, UK

Received 17 February 2012; Accepted 16 March 2012

Academic Editor: Yonghong Yao

Copyright © 2012 Guozhi Song 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.


We consider the analytic modelling of wireless systems with multiple access technologies in the perspective of teletraffic engineering and provide a framework for the performance analysis and evaluation of a wireless HetNet (heterogeneous network) system with both cellular and WLAN access technologies. In particular, an approach with Erlang's fixed-point approximation to calculate the new call blocking and handover call dropping probabilities in such systems is introduced. The model is versatile enough to cover not only cellular/WLAN HetNet systems but other wireless HetNets with difference access technologies in general.