Wireless cellular networks with Pareto-distributed call holding times

Ramon M. Rodriguez-Dagnino; Hideaki Takagi

doi:10.1117/12.434315

24 July 2001 Wireless cellular networks with Pareto-distributed call holding times

Ramon M. Rodriguez-Dagnino, Hideaki Takagi

Proceedings Volume 4523, Internet Performance and Control of Network Systems II; (2001) https://doi.org/10.1117/12.434315
Event: ITCom 2001: International Symposium on the Convergence of IT and Communications, 2001, Denver, CO, United States

Abstract

Nowadays, there is a growing interest in providing internet to mobile users. For instance, NTT DoCoMo in Japan deploys an important mobile phone network with that offers the Internet service, named 'i-mode', to more than 17 million subscribers. Internet traffic measurements show that the session duration of Call Holding Time (CHT) has probability distributions with heavy-tails, which tells us that they depart significantly from the traffic statistics of traditional voice services. In this environment, it is particularly important to know the number of handovers during a call for a network designer to make an appropriate dimensioning of virtual circuits for a wireless cell. The handover traffic has a direct impact on the Quality of Service (QoS); e.g. the service disruption due to the handover failure may significantly degrade the specified QoS of time-constrained services. In this paper, we first study the random behavior of the number of handovers during a call, where we assume that the CHT are Pareto distributed (heavy-tail distribution), and the Cell Residence Times (CRT) are exponentially distributed. Our approach is based on renewal theory arguments. We present closed-form formulae for the probability mass function (pmf) of the number of handovers during a Pareto distributed CHT, and obtain the probability of call completion as well as handover rates. Most of the formulae are expressed in terms of the Whittaker's function. We compare the Pareto case with cases of $k(subscript Erlang and hyperexponential distributions for the CHT.

Citation Download Citation

Ramon M. Rodriguez-Dagnino and Hideaki Takagi "Wireless cellular networks with Pareto-distributed call holding times", Proc. SPIE 4523, Internet Performance and Control of Network Systems II, (24 July 2001); https://doi.org/10.1117/12.434315

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