期刊文献+

一类考虑反馈机制的M/M/1/N单重工作休假排队

A Class of M/M/1/N Single Working Vacation Queuing Considering Feedback Mechanism
下载PDF
导出
摘要 为了进一步推广单重工作休假排队模型,以便更好地将其应用于实际,重点考虑了顾客接受服务后带有反馈机制的情形,构造了一种新的工作休假模型.依据Markov过程原理建立了系统稳态概率方程组,利用矩阵解法求出了稳态概率的矩阵解,得到了系统稳态下的一些重要的性能指标.最后运用matlab软件进行数值模拟,为系统的优化设计提供参考依据. In order to further popularize the single working vacation queuing model for better application in practice,the case with feedback mechanism after customer receiving service is mainly considered,and a new kind of working vacation model is constructed.The steady state probability equations of the system are established according to the Markov process principle,the matrix solution of the steady state probability is obtained by using the matrix solution method,and some important performance indexes of the system under steady state are obtained.Finally,matlab software is used for numerical simulation to provide reference for the optimal design of the system.
作者 王莉 WANG Li(School of Arts and Sciences,Suqian University,Suqian 223800,Jiangsu,China)
出处 《兰州文理学院学报(自然科学版)》 2023年第1期29-34,共6页 Journal of Lanzhou University of Arts and Science(Natural Sciences)
基金 国家自然科学基金项目(70571030) 宿迁市科技计划项目(21SYB-33)。
关键词 反馈 单重工作休假 矩阵解法 数值模拟 feedback single working vacation matrix solution numerical simulation
  • 相关文献

参考文献12

二级参考文献67

  • 1朱翼隽,童仁群,王晓春,陈佩树.有可选到达、服务台可修的M/G/1重试排队系统[J].江苏大学学报(自然科学版),2007,28(1):85-88. 被引量:7
  • 2Liu Wenyuan, Xu Xiuli, Tian Naishuo. Stochastic decompositions in the M/M/1 queue with working vacations [ J ]. Operations Research Letters, 2007, 35 (5) : 595 - 600.
  • 3Gelenbe E. Queues with negative arrivals [ J]. J Appl Prob, 1991,28 (1) :245 -250.
  • 4Rege K. On the M/G/1 queue with Bernoulli feedback[ J]. Operations Research Letters, 1993,14(3) :163 - 170.
  • 5Doshi B T. Single server queues with vacations [C]//TAKAGI H(Ed), Stochastic Analysis of the Computer and Communication Systems. Amsterdam: North-Holland Elsevier, 1990: 217-264.
  • 6Doshi B T. Queuing systems with vacations-a survey[J]. Queuing System, 1986, 1: 29-66.
  • 7Takagi H. Queuing analysis: a foundation of performance evaluation [M], 1 Amsterdam: Elsevier Science Publishers,1991.
  • 8Tian N, Zhang G Z. Vacation queuing models-theory and applications [M]. New York: Springer- Verlag,2006.
  • 9Servi L. D, Finn S G. M/M/1 queues with working vacations (M/M/1/WV)[J]. Performance Eval- uation, 2002, 50(1): 41-52.
  • 10Wen-yuan Liu, Xiu-li Xu, Nai-shuo Tian. Stochastic decompositions in the M/M/1 queue with working vacations[J]. Operations Research Letters, 2007, 35(4): 595-600.

共引文献26

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