期刊文献+

一类输入率可变的M/M/1排队系统研究 被引量:1

Study of an M/M/1 Queuing System with a Variable Input Rate
下载PDF
导出
摘要 讨论了顾客以αk=k+11+k=k+1-k的概率进入系统接受服务的M/M/1可变输入率的排队模型,证明其平稳分布存在,并计算得到了平均等待队长,系统的平均队长,系统的损失概率,顾客进入系统并接受服务的概率等一系列指标. The queuing model with an M/M/1 variable input rate is put under examination when the customer accesses the system and uses the service at the probability of 1k+1+k=k+1k.The result proves the existence of stationary distribution in such a system,and by way of calculation,indices like the average waiting queue length,average queue length of the system,the system loss probability,the probability of a customer's access and use of the service,are all worked out.
作者 任小飞
出处 《内江师范学院学报》 2010年第10期35-36,共2页 Journal of Neijiang Normal University
关键词 可变输入率 M/M/1 等待时间 平稳分布 variable input rate M/M/1 waiting time stationary distribution
  • 相关文献

参考文献4

二级参考文献22

  • 1苏保河,史定华.修理工可多重休假的n部件串联可修系统可靠性分析[J].数理统计与应用概率,1995,10(1):78-82. 被引量:13
  • 2程侃 曹晋华.可靠性数学引论[M].北京:科学出版社,1986.188-212.
  • 3茆诗松 王玲玲.可靠性统计[M].上海:华东师大出版社,1983..
  • 4陆传赉.排队论[M].北京:北京邮电学院出版社,1993.
  • 5孙永恒,李建平.排队论基础[M].北京:科学出版社,2002.
  • 6Miller W. An introduction to probability theory and its application[ M ]. 2rd ed. New York: John Wiley & Sons, 1957.
  • 7Levy H, Kleinrock L. A queue with starter and queue with vacation: delay Analysis by decomposi-tion [ J ]. Opns Res, 1986, 34 (3) : 426-436.
  • 8Baris,Ata. ,Shiri Shneorson. Dynamic Control of an M/M/1 Service System with Adjustable Arrival and Service Rates. Management Science, 2006,52(11):1778-1791.
  • 9Maglaras,C. ,A. Zeevi. Pricing and capacity sizing for systems with shared resources:Approximate solutions and scaling relations. Management Science,2003,(49):1018-1038.
  • 10Masuda,Y. ,S. Whang. Dynamic pricing for network service:Equilibrium and stability. Management Science, 1999,45(6):857-869.

共引文献35

同被引文献10

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