Call Blocking Probabilities in a W-CDMA cell with fixed number of channels and finite number of traffic sources

This paper focuses on the call blocking probabilities calculation in a W-CDMA cell with fixed number of channels and finite number of traffic sources. To this end, the use of the Engset multirate loss model (EnMLM) is proposed in the uplink direction. To apply the EnMLM we need to extend it by incorporating the so called local blockings. Arriving calls compete for their successful admission to a W-CDMA cell. The call admission depends on the availability of the required channels. To analyze the system, we formulate an aggregate one-dimensional Markov chain, and based on it, we determine the system state probabilities by an efficient recurrent formula. Consequently, we determine the call blocking probabilities in the uplink direction. Although the proposed model is approximate, its accuracy is found to be quite satisfactory. The evaluation is done through simulation. Moreover, the model performs better than the existing model which assumes infinite number of traffic sources in the cell.