Packet delay analysis of continuous-time polling system with M-gated services

This paper proposed a novel analytical model of the polling MAC protocol using M-gated services in continuous time. By the imbedded Markov chain theory, the generating functions of queue length at server arrival epoch is obtained. Also, the Laplace-Stieltjes transform (LST) of packet delay distribution function is derived. Then computational equations are explicit determined for the mean queue length and the mean packet delay. Through analysis of the mechanism of the polling model, its control values of the M-gated service and the related properties have been obtained. Meanwhile, the basic polling systems using gated service and exhaustive service have been improved. The polling MAC control protocol in the application is more effective.