The queue length of GI/G/1 queueing system with server setup times

摘要：

This paper deals with the GI/G/1 queueing system with a random setup time. The server is turned off each time when the syetem becomes empty. At this point of time the idle period starts. As soon as a customer arrives, the setup of the service facility begins which is needed before starting each busy period. In this paper we study the transient distribution of queue length by applying the Markov skeleton process approach. We show that the transient distribution of queue length is the minimal nonnegative solution and also the unique bounded solution to a nonnegative linear eqution.

关键词： GI/G/1 queue setup time Markov skeleton process Queue length Transient distribution

作者: Qinggui Zhao Xuan Zhang Xiangxing Kong Qinggui Zhao

作者单位: Institute of Probability & Statistics Central South University, CSU Changsha, 410075,China School of Mathematics and Statistics Chongqing University of Arts and Sciences, CUAS Chongqing, 4021

会议类型: 国际会议

会议名称: 2009 Second International Conference on Intelligent Computation Technology and Automation(2009 第二届IEEE智能计算与自动化国际会议 ICICTA 2009)

会议地点: 长沙

会议语种:英文

页码: 3681-3683

在线出版日期: 2009-10-10（万方平台首次上网日期，不代表论文的发表时间）