Mean Cyclic Period of Polling Model with Two Classes of Objects in Each Queue

This paper investigates the mean cyclic period of a new polling model with two classes of objects. Firstly, the present polling model with single object is expanded into a new one with two classes of objects in this paper, two classes of objects within each queue take gated service and limited service respectively. Secondly, under stable condition of this polling model, embedded Markov chain of the queues length is constructed, and then mean cyclic period under system equilibrium is deduced by means of generating function and Laplace-Stieltje transform. Furthermore, the mean cyclic period is emended considering that partial or all limited service queues are unstable. Finally, the theoretical results are validated by simulations.