Stochastic Complementation Applied to the Analysis of Blocking Probabilities in Cellular Networks

A. Jayasuriya and K. Doğançay (Australia)


Channel holding time analysis, phase-typedistributions, stochastic complementation


Providing seamless handover is one of the major problems in mobile communication environments. It is of utmost importance to provide a higher guarantee that the users are able to continue their service during the entire length of the transmission, without it being blocked during handovers. Careful dimensioning of the network and the underlying teletraffic analysis plays a major role in determining the various Grade of Service (GoS) parameters that service providers can provide at various network loads. The channel holding time of a cell is one of the major parameters that needs to be accurately modelled in the teletraffic analysis. This paper focuses on the application of stochastic complementation to the analysis of service time distributions in cellular networks where the channel holding times are modelled by phase-type distributions. We present the Quasi Birth-Death (QBD) process, which characterises the queuing models with Generalised Erlang service and exponential interarrival distributions. We then use stochastic complementation methods to solve these queuing models. The key parameter of interest is the network blocking probability for handover mobile users. The use of stochastic complementation is shown to provide a significant reduction in computation time for the calculation of this parameter in cellular networks.

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