Queue-Length Analysis of Continuous-Time Polling System with Vacations Using M-Gated Services

Author:

Ding Hong Wei1,Zhao Dong Feng1,Zhao Yi Fan1

Affiliation:

1. Yunnan University

Abstract

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.

Publisher

Trans Tech Publications, Ltd.

Reference24 articles.

1. Yang Zhijun, Zhao Dongfeng, Ding Hongwei, Zhao Yifan. Research on Two-class Priority Based Polling Systm[J]. Acta. Electronica Sinica, 2009, 37(7): 1452-1456. (in Chinese).

2. Tang Yinghui, Huang Shujuan, Yun Xi. Queue-Length Distribution for Discrete Time Geom/G/1 Queue with Multiple Vacations and Bulk Arrival[J]. Acta. Electronica Sinica, 2009, 37(7): 1407-1411. (in Chinese).

3. Eldad P. IEEE 802. 11n development: History, process and technology[J]. IEEE Commun. Mag., 2008, 46(7): 48-55.

4. Hashida O. Analysis of Multiqueue[J]. Rev Elec Commun Lab, 1972, 20(3, 4): 189-199.

5. Takagi H. Analysis of Polling Systems[M]. Cambridge, MA: The M.I.T. Press, (1986).

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