Queue-Length Analysis of Continuous-Time Polling System with Vacations Using M-Gated Services
In this paper we consider the polling system with multiple vacations an bulk arrival using M-gated services in continuous time. By the imbedded Markov chain theory, the generating functions of queue length at the station is obtained. Then computational equations are explicitly determined for the mean queue length. Especially we can obtain some corresponding results under some especial cases. The results reveal that our system model can guarantee better QoS and system stability, and it has better efficiency than that of traditional gated service.
H. W. Ding et al., "Queue-Length Analysis of Continuous-Time Polling System with Vacations Using M-Gated Services", Applied Mechanics and Materials, Vols. 20-23, pp. 427-431, 2010