Performance analysis of generalized handover model for cellular networks
SARNOFF'09 Proceedings of the 32nd international conference on Sarnoff symposium
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The statistics of random sum is studied and used to evaluate performance metrics in wireless networks. Pertinent wireless network performance measures such as call completion/dropping probabilities and the average number of handovers usually require the probability distributions of the cell dwell time and call holding time; and are therefore not easy to evaluate. The proposed performance evaluation technique requires the moments of the cell dwell time and is given in terms of the Laplace transform function of the call holding time. Multimedia services that have Weibull and generalized gamma distributed call holding times are investigated. The proposed approximation method uses the compound geometric random sum distribution and requires that the geometric parameter be very small. For applications in which this parameter is not sufficiently small, a result is derived that improves the accuracy (to order of the geometric parameter) of the performance measures evaluated. In addition, the effects of physical link impairments such as channel fading and path loss are also considered. For both the Rayleigh fading and lognormal shadowing channels, closed-form expressions are derived for the average link breakdown duration and the probability of link breakdown. These parameters are useful in deriving formulas for the performance metrics under consideration. These formulas are useful in providing insight into the effect of physical link impairments on the high-layer performance metrics in wireless networks. Finally, a handover procedure is proposed in order to improve the rate of call completion in next generation wireless networks. Vertical handover, which is defined as the handovers between different types of wireless networks is used to prevent call dropping due to handover failure. For the special case of i.i.d. cell dwell times, the call completion probability is computed by using the compound negative binomial random sum distribution.