期刊文献+

带负顾客的非空竭服务休假排队系统的稳态分析 被引量:3

Stability Analysis of Queues with Negative Customers and Wacation on Non-Exhaustive Service
下载PDF
导出
摘要 利用求吸收分布以及普通M/G/1排队系统的稳态条件,研究了一类带有负顾客且正顾客有流失的M/G/1非空竭服务休假排队系统的稳态条件。对先到先服务规则分别考虑了负顾客的两种移除策略:移除队首(RCH)和移除队尾(RCE)。 The stable condition on queueing system with negative customers and vacation on non-exhaustive service is discussed by finding absorb distribution and using the stable condition of classical M/G/1 system. Two kinds of remove strategies of negative customers are considered: remove the customer at the head (RCH) and remove the customer at the end (RCE).
作者 尹小玲
出处 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第2期1-4,共4页 Acta Scientiarum Naturalium Universitatis Sunyatseni
基金 国家自然科学基金资助项目(6057400210501014)
关键词 负顾客 移除策略 吸收分布 negative customer remove strategies absorb distribution
  • 相关文献

参考文献10

  • 1GELENBE E. Random neural networks with positive and negative signals and product form solution [ J ]. Neural Computation, 1989,1 (4) :502 - 510.
  • 2GELENBE E, GLYNN P, SIGMAN K. Queues with negative arrivals [ J ]. J Appl Prob, 1991,28:245 - 250.
  • 3HARRISON P G, PITEL E. The M/G/1 queue with negative customers [ J]. Adv Appl Prob, 1996, 28:540 - 566.
  • 4HARRISON P G, PITEL E. Sojourn times in single server queues with negative customers [ J]. J Appl Prob, 1993,30:943 - 963.
  • 5周文慧,邓永录.具有负顾客到达的M/G/1可修排队系统(英文)[J].运筹学学报,2006,10(2):28-36. 被引量:3
  • 6伍慧玲,尹小玲.有单移除策略的M/G/1重试可修排队系统[J].中山大学学报(自然科学版),2005,44(B06):133-137. 被引量:11
  • 7尹小玲,邓永录,招雁鸿.带有负顾客且正顾客有流失的M/G/1休假排队系统[C].中国运筹学会可靠性学会第七届学术会议论文集,(RSORSC’2005),北京:清华大学出版社,2005,6:123-128.
  • 8KAPLAN M. A sufficient condition for nonergodicity of a Markov Chain[ J]. IEEE Trans Inform Theory, 1979,25 : 470 - 471.
  • 9FOSTER F G. On the stochastic processes associated with certain queueing processes[ J ]. Ann Math Statist, 1953, 24:355 - 360.
  • 10KRISHNA KUMAR B, VIJAYAKUMAR A, ARIVUDA- INAMBI D. An M/G/1 retrial queueing system with two - phase service and preemptive resume [J]. Annals of Operations Research, 2002,113:61 - 79.

二级参考文献24

  • 1GEIF, NBE E. Random neural network with positive and negative signals and product form solution [ J ]. Neural Computation,1989,1 (4) :502 - 510.
  • 2GELENBE E. GLYNN P, SIGMAN K. Queues with negative arrivals[J]. J Appl Prob, 1991,28:245 - 250.
  • 3GELENBE E. G-networks with signals and batch removal[J].Probability in the Engineering and Information Sciences,1993,7:335 - 342.
  • 4FOURNEAU J M, GELENBE E, SOUROS R. G-networks with multiple classes of positive and negative customers[J].Theoretical Computer Science, 1996,155:141 - 156.
  • 5CHAO X. A queuing network mode; with catastrophes and product form solution[ J ]. O R Letters, 1995,18:75 - 79.
  • 6KULKARNI V G,CHOI B D.Retrial queue with server subject to breakdown and repairs[ J]. Queueing Syst, 1990,7(2) : 191 - 208.
  • 7YANG T,LI H The M/G/1 retrial queue with server subject to starting failure[J].Queueing Syst,1994,16:83-96.
  • 8KUMAR B K, MADHESWARI S, VIJAYAKUMAR A. The M/G/1 Retrial Queue With Feedback and Starting Failures[J].Applied Mathematical Modelling, 2002,26:1057 - 1075.
  • 9WANG J T, CAO J H, LI Q L. Reliabihty Analysis of the Retrial[J]. Queue with Server Breakdowns and Repairs,Queueing Systems, 2001,38: 363 - 380.
  • 10ARTALEJO J R, GOMEZ-CORRAL A. On a Single Server Queue with Negative Arrivals and Request Repeated[J]. J Appl Probab, 1999,36:907 - 918.

共引文献11

同被引文献33

  • 1朱翼隽,王晓春,童仁群.一类具有两个服务阶段、反馈的M/G/1重试排队系统[J].江苏大学学报(自然科学版),2005,26(6):496-500. 被引量:16
  • 2陈佩树,朱翼隽,王晓春.有两个服务阶段、反馈、强占型的M/G/1重试排队[J].运筹学学报,2006,10(4):71-80. 被引量:4
  • 3Krishna Reddy G V, Nadarajan R, Arumuganathan R. Analysis of a bulk queue with N-policy multiple vacations and setup times. Computers and Operations Research, 1998, 25: 957-967.
  • 4Lee S S, Lee H W, Yoon S H, Chae K C. Batch arrival queue with N-policy and single vacation. Computers and Operations Research, 1995, 22: 173-189.
  • 5Madan K C, Ai-Rawwash M. On the M^x/G/1 queue with feedback and optional server vacations based on a single vacation policy. Applied Mathematics and Computation, 2005, 160: 909-919.
  • 6Gelenbe E. Random neural networks with positive and negative signals and product form solution. Neural Computation, 1989, 1(4): 502-510.
  • 7Gelenbe E, Glynn P, Sigman K. Queues with negative arrivals. Journal of Applied Probability, 1991, 28:245-250.
  • 8Boucherie R J, Boxma O J. The workload in the M/G/1 queue with work removal. Prob. Eng. Inf. Sci., 1995, 10: 261-277.
  • 9Harrison P G, Patel N M, Pitel E. Reliability modelling using G-queues. European Journal of Operational Research, 2000, 126: 273-287.
  • 10Artalejo J R. G-netwoks: A versatile approach for work remoral in queueing networks. European Journal of Operational Research, 2000, 126: 233-249.

引证文献3

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