Analysis of the Sojourn Time Distribution for M/GL/1 Queue with Bulk-Service of Exactly Size L

摘要：

　　This paper presents a simple algorithm for computing the cumulative distribution function of the sojourn time of a random customer in an M/GL/1 queue with bulk-service of exactly size L.Both theoretical and numerical aspects related to this problem were not discussed by Chaudhry and Templeton in their monograph(1983).Our analysis is based on the roots of the so-called characteristic equation of the Laplace-Stieltjes transform(LST)of the sojourn time distribution.Using the method of partial fractions and residue theorem,we obtain a closed-form expression of sojourn time distribution,from which we can calculate the value of the distribution function for any given time t ∈ 0,+1).

关键词： Bulk-service Sojourn time Cumulative distribution function Roots Residue theorem

作者: Miaomiao Yu Xuehua Zou Yinghui Tang

作者单位: Sichuan University of Science and Engineering,Zigong 643000 China School of Mathematics & Software Science Sichuan Normal University,Chengdu 610068 China

会议类型: 国际会议

会议名称: The 12th International Conference on Queueing Theory and Network Applications(第十二届排序理论与网络应用国际会议)(QTNA 2017)

会议地点: 河北秦皇岛

会议语种:英文

页码: 36-39

在线出版日期: 2017-08-21（万方平台首次上网日期，不代表论文的发表时间）