An analysis for interdeparture process of a polling system with single message buffer at each station

This paper considers the polling system with the single message buffer at the station. Most of the past studies on the polling system have been concerned primarily with the mean delay and the mean throughput. To analyze the multihop system which appears in the interconnection of information networks, however, the interdeparture process in the system must be analyzed. This is because the output process in each system is related closely to the input process in other systems. From such a viewpoint, this paper analyzes the interdeparture process in the polling system with the single message buffer at the station, and presents the Laplace-Stieltjes transform of the interdeparture time distribution. Using the obtained result, numerical examples are presented, indicating some interesting results concerning the coefficient of variation of the interdeparture time distribution.