会议专题

An M|X|/G/1 Queue System with Delayed Single Working Vacation

This paper discusses a batch arrival queue with delayed single working vacation. Whenever the system becomes empty at a normal service completion instant, the server will enters into the delay period and will return into a normal busy period immediately without vacation period if an arrival occurs during such a period. Otherwise he will go for a single working vacation. We derive the queue size distribution at random epochs and departure epochs. We also derive some important performance measures of this model. Finally, several numerical examples are presented.

Batch arrivals Delayed single working vacation Supplementary variable technique

Shan Gao Zaiming Liu

Department of Mathematics, Central South University Changsha, China Department of Mathematics, Fuyan Department of Mathematics, Central South University line Changsha, China

国际会议

2010 International Conference on Information Security and Artificial Intelligence(2010年信息安全与人工智能国际会议 ISAI 2010)

成都

英文

1724-1728

2010-12-17(万方平台首次上网日期,不代表论文的发表时间)