Waiting time analysis of gated polling system for bandwidth allocation in a passive optical network

In this paper, we obtain the mean packet waiting time of a dynamic bandwidth allocation scheme in an Ethernet passive optical network(PON). We analize the packet waiting time distribution of the symmetric polling system with a gated service discipline and two stage queues. On the access side, input traffic may be aggregated from a number of users. So we assume that input packets arrive at an optical network unit(ONU) according to a Poisson process from several types of users. We use a continuous time queueing model in order to find the mean waiting time and cycle time of an arbitrary packet. We give some numerical results to investigate the mean packet waiting time and mean cycle time of the symmetric polling system with statistically identical stations.