Service Gated Discrete-time Polling System with Bernoulli Feedback

This paper analyzes asymmetric limited gated service polling system with Bernoulli feedback. By the imbedded Markov chain theory and the probability generating function method,The authors derive the generating function of intervisit time , polling cycle time , service time of each station and queue length in the each station .Furthermore , the successive sojourn time of customer C in ith station (i=1,2,...N) and queue length after the (m-1)th service are obtained.     

Analysis of Exhaustive Service Polling System with Bulk Arrival

The exhaustive service polling system with bulk arrival,and the distribution and mean of the queue length and the cycle time,service time and interval time of the server and the distributions of sojourn times are studied.     

Analysis of Gated and Discrete-time Service Polling Systems with Bulk Arrival and Feedback

In this paper, such problems of polling system with bulk arrival and Bernoulli Feedback are considered as follow: To Gated Service disciplines, we derive the relation of F i+1 (z 1,z 2,...,z N ) and F i(z 1,z 2,...,z N ), give means of queue lengths at polling instant of each station;the means of polling cycle time , and intervisit time are obtained. To discrete-time Service disciplines, we derive the relation of F i+1 (z 1,z 2,...,z N ) and F i(z 1,z 2,...,z N ) , obtain the service time of each station.