摘要
考虑多级适应性休假的MX/G/1排队系统.采用一种较简单的分析方法,讨论了队长分布的瞬态和稳态性质,得到了队长瞬态分布的拉普拉斯变换的递推表达式和稳态分布的递推表达式,以及稳态队长的随机分解,并给出了服务台闲期、服务台忙循环期的分布函数.另外,从讨论中直接导出了一些特殊排队模型的相应指标.
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.
出处
《系统科学与数学》
CSCD
北大核心
2007年第6期899-907,共9页
Journal of Systems Science and Mathematical Sciences
基金
四川省教育厅自然科学基金([2006]A067)
西南财经大学科研基金资助项目
关键词
多级适应性休假
成批到达
队长
瞬态分布
递推表达式
随机分解
Adaptive multistage vacation, queue length, transient distribution, recursion expression, stochastic decomposition.
