Traffic modelling of WiMAX under BMAP with length of packet of general distribution

The relation between offered traffic and the length of frame taking the batch size as a parameter are nonlinearly related under Batch Markovian Arrival Process (BMAP). Therefore the prediction of carried traffic and blocking probability against the length of frames or the batched size becomes more complicated compared to conventional packet or circuit switched traffic. The previous literature deals with M/1/G/K traffic for a network in generalized form but in this paper we bring the traffic model for WiMAX network. We compare the performance of subscriber station (SS) WiMAX network for M/M/1/K and M/1/G/K traffic cases considering BMAP. Finally we show the interrelationship among: offered traffic, the length of frame, carried traffic(related to throughput), the length of queue, the size of batch and blocking probability (related to packet loss) both analytically and graphically; where the previous literature show the results partially.