%0 Journal Article
%T The Queue Length Distribution of $M^X/G/1$ with Adaptive Multistage Vacation<br>多级适应性休假$M^X/G/1$排队系统的队长分布
%A Luo Chuanyi
%A Tang Yinghui
%A Liu Renbin
%A <br>骆川义
%J 系统科学与数学
%D 2007
%I 
%X In the paper, the bulk-arrival $M^X/G/1$ queue with adaptive multistage vacation is studied. By using a simple method, the recursion expression of the Laplace transform of the transient queue-length distribution and stochastic decomposition result of the queue length at a random point in equilibrium are obtained. Furthermore, the distribution of the server idle period and the circular server busy period are obtained. Especially, some corresponding results for some special queueing systems can be derived directly by the results obtained in this paper.
%K Adaptive multistage vacation
%K queue length
%K transient distribution
%K recursion expression
%K stochastic decomposition<br>多级适应性休假
%K 成批到达
%K 队长
%K 瞬态分布
%K 递推表达式
%K 随机分解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=0E59EFD2258F88FE159DEF0785E52C07&yid=A732AF04DDA03BB3&vid=DB817633AA4F79B9&iid=B31275AF3241DB2D&sid=7E7F5B01D43BD73F&eid=3382A18868551611&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=1&reference_num=6