Performance of Queueing Model of one UMTS Cell with R Virtual Zones by the Maximum Entropy Solution

UMTS stands for Universal Mobile Telecommunications System, which is one of the third generation (i.e., 3G) cellular systems, will come into full commercial phase by year 2005 and the first UMTS services are launched commercially in 2001. Therefore, the research of UMTS is an important and urgent task. In this paper, the performance of UMTS systems is studied through a queueing model which consists of one UMTS with many virtual zones to evaluate the system uplink traffic performance. The two performance measures: blocking probability and system utilization are obtained by the Maximum Entropy Principle, i.e., ME solutions for S _RXR (GGeo/GGeo/1)/N queue. S _RXR (GGeo/GGeo/1)/N system means that arrival time and service time are both GGeo (Generalized Geometric) distributed, each output port has a single server and the maximum capacity is N. After the theoretical analysis, the numerical results are found for the idiographic example, 8×8 (GGeo/GGeo/1)/512 queueing model. Additionally, the performance of this queueing model is discussed with the effect of the parameters Ca ² (squared coefficient of variation of the interarrival time), Cs ² (squared coefficient of variation of the service time) and the arrival rate, λ. Aymen I. Zreikat has obtained his B.Sc. in Computer Science from Yarmouk University, Jordan in 1990 and MSc in Computational Engineering (honour degree) from University of Erlangen, Germany in 2000. In January, 2001, he has joint the Performance Modelling and Engineering Research Group in the Computing Department of Bradford University, UK. His area of research is in the Performance Evaluation and Resource Management of 3G Wireless Mobile Networks. He has a set of international Journal and Conference papers in this field and he was responsible for reviewing a set of papers in this area of research. Furthermore, he is a member of some international organizations; i.e., MOSEL, etc. He has obtained his Ph.D. from Bradford University, UK in 2003. In January, 2004, he has appointed as an Assistant Professor at the Information Technology Department, Mutah University, Jordan where he is currently teaching some courses in performance modelling of Wirelsss Networks, programming languages, advanced simulation techniques and some other important courses.