期刊文献+

带启动时间的Geom/Geom/1多重工作休假排队 被引量:1

The Geo/Geo/1 Queue Model with Set-up Time and Working Vacations
下载PDF
导出
摘要 本文中研究了一个带有启动时间的Geom/Geom/1多重工作休假排队模型。服务台在休假期间,不停止服务,而是以较低的服务率为顾客提供服务。运用拟生灭过程和矩阵几何解的方法,给出了该模型的稳态队长分布,并求出了平均队长以及顾客的平均逗留时间。 A Geo/Geo/1 queue model with Set - up Time and Working Vacations is studied. The server works at a lower rate rather than completely stops service during the vacation time. Using quasi - birth - death and matrix - geometric solution method, the steady - state distributions for queue size is given. Additionally, we obtain the average number of the customers and the average sojourn time of a customer in the stationary state.
作者 王竟竟
出处 《数学理论与应用》 2011年第3期39-43,共5页 Mathematical Theory and Applications
关键词 工作休假 启动时间 平均队长 平均逗留时间 Working vacations Set - up time Geometric solution Average sojourn Average numbei
  • 相关文献

参考文献2

二级参考文献10

  • 1Tian N.,Zhang G.Z.Vacation queueing models theory and applications[M].New York:Springer Verlag,2006,1-56.
  • 2Servi L.D.,Finn S.G.M/M/1 queue with working vacations(M/M/1/WV)[J].Perform Evaluation,2002,50:41-52.
  • 3Hunter J.J.Mathematical Techniques of Applied Probability Vol.Ⅱ:Discrete time models:Techniques and applications[M].Academic Press,New York,1983.
  • 4Neuts M.Matrix-geometric solution stochastic models[M].Johns Hokpins University Press,Baltimore,1981,1-40.
  • 5Doshi B T. Single server queues with vacations[ A]. in: H. Takagi(Ed), Stochastic Analysis of the coputer and communication Systems[ C]. North-Holland Elsevier, Amsterdam, 1990. 217-264.
  • 6Doshi B T. Sigle server queues with vacations-a survey[J]. Queueing Sys, 1986, (1) : 29-66.
  • 7Li Jihong, Tian Naishuo. Analysis of the discrete time Geo/Geo/l queue with single working vacation[ J] & Quality Technology & Quantitative Management, 2008, 5 ( 1 ) : 63-70.
  • 8Tian Naishuo, Zhang Z G. Vacation queueings models: theory and applications[ M ]. Springer-Verlag, New Youk, 2006.
  • 9赵冬梅,张家雷,田乃硕,杜欣欣,赵国会.带启动期的Geo/Geo/1/SWV排队系统[J].运筹与管理,2008,17(4):72-78. 被引量:4
  • 10朱桂仙,徐德举.N-策略多重工作休假Geom/Geom/1离散时间排队[J].首都师范大学学报(自然科学版),2009,30(4):1-5. 被引量:12

共引文献13

同被引文献3

引证文献1

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部