DocumentCode :
2659927
Title :
Coxian distribution modeling for the generalized and unified teletraffic analysis of mobile cellular networks
Author :
Corral-Ruiz, Anum L Enlil ; Cruz-Pérez, Felipe A. ; Hernández-Valdez, Genaro
Author_Institution :
Electr. Eng. Dept., CINVESTAV-IPN, Mexico City, Mexico
fYear :
2010
fDate :
8-10 Sept. 2010
Firstpage :
315
Lastpage :
320
Abstract :
In this paper, the Coxian distribution model to characterize users´ mobility (through cell dwell time) is proposed and its application for the teletraffic analysis of mobile cellular networks is presented. To the best authors´ knowledge, Coxian distribution has not been previously considered in the literature to characterize users´ mobility in cellular networks. The Coxian distribution includes as particular cases several relevant previously proposed models in the literature (i.e., hyper-exponential, Erlang, hypo-exponential, and hyper-Erlang). We demonstrate that, when the cell dwell time has a Coxian distribution, the residual cell dwell time can be represented by a Coxian model. More important, it is shown that the Coxian distribution assumption for the cell dwell time naturally leads to a joint representation of the cell dwell time and residual cell dwell time distributions by a Coxian distribution of the, so called, global cell dwell time. Consequently, our teletraffic model is made computationally tractable by keeping track in a single state variable all the calls (new and handed off) in a phase (of any stage) with both the same mean permanence time and order within the stages. Thus, the analytical model proposed in this paper provides a simple, general, unified, and versatile framework for the teletraffic analysis of mobile cellular networks.
Keywords :
cellular radio; statistical distributions; telecommunication traffic; Coxian distribution modeling; global cell dwell time; hyper-Erlang; hyper-exponential; mean permanence time; mobile cellular networks; unified teletraffic analysis; Analytical models; Electrical engineering; Land mobile radio cellular systems; Mathematical model; Mobile computing; Probability density function; Cellular networks; Coxian distribution model; and blocking probabilities; cell dwell time; residual cell dwell time; resource occupancy distribution; teletraffic analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Electrical Engineering Computing Science and Automatic Control (CCE), 2010 7th International Conference on
Conference_Location :
Tuxtla Gutierrez
Print_ISBN :
978-1-4244-7312-0
Type :
conf
DOI :
10.1109/ICEEE.2010.5608642
Filename :
5608642
Link To Document :
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