Counting handovers in a cellular mobile communication network : delayed renewal process approach

Knowing the number of handovers that a user makes during a call session is particularly important in cellular mobile communication networks in order to make appropriate dimensioning of virtual circuits for wireless cells. In this paper, we study the probability distributions and statistical moments for the number of handovers per call for a variety of combinations of the call holding time (CHT) and cell residence time (CRT) distributions. We assume a mixed platform environment, which means that the rst CRT in the originating cell has di erent statistics from the CRTs in the subsequent cells. In particular, we consider circular cells. Based on the formulation in terms of delayed renewal processes, we obtain analytical expressions for the probability mass functions and moments of the handover number distribution.

[1]  Prem Dassanayake,et al.  User Mobility Modeling and Characterization of Mobility Patterns , 1997, IEEE J. Sel. Areas Commun..

[2]  S. Nanda,et al.  Teletraffic models for urban and suburban microcells: cell sizes and handoff rates , 1993 .

[3]  A. M. Mathai.  An Introduction to Geometrical Probability: Distributional Aspects with Applications , 1999 .

[4]  Hideaki Takagi,et al.  Wireless handover distributions in mixed platforms with multimedia services , 2001, SPIE Optics East.

[5]  Yuguang Fang,et al.  Call Performance for a PCS Network , 1997, IEEE J. Sel. Areas Commun..

[6]  K. L. Yeung,et al.  Channel management in microcell/macrocell cellular radio systems , 1996 .

[7]  Ramon M. Rodriguez-Dagnino,et al.  Performance analysis in broadband wireless networks , 1999, Optics East.

[8]  Yuguang Fang,et al.  Channel Occupancy Times and Handoff Rate for Mobile Computing and PCS Networks , 1998, IEEE Trans. Computers.

[9]  Ramon M. Rodriguez-Dagnino.  Handoff analysis in wireless multimedia networks , 1998, Other Conferences.

[10]  Ramón M. Rodríguez-Dagnino,et al.  Counting handovers in a cellular mobile communication network: equilibrium renewal process approach , 2003, Perform. Evaluation.

[11]  Stephen S. Rappaport,et al.  Traffic performance and mobility modeling of cellular communications with mixed platforms and highly variable mobilities , 1998 .

[12]  Stephen S. Rappaport,et al.  Traffic model and performance analysis for cellular mobile radio telephone systems with prioritized and nonprioritized handoff procedures , 1986, IEEE Transactions on Vehicular Technology.

[13]  Rodney Coleman,et al.  Random paths through convex bodies , 1969, Journal of Applied Probability.