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两种失效模式下离散时间重试排队之研究 被引量：1

On the Discrete-time Retrial Queue with Two Failure Modes
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摘要 本文研究了有启动失效或在服务中失效的离散时间Geo/Geo/1可修重试排队系统,得到系统的嵌入马氏链及其遍历性条件.在此基础上,又得到了稳态下系统的各种性能分析指标及随机分解性质.最后,通过数值算例研究了失效参数对平均队长的影响. A discrete-time Geo/Geo/1 retrial queue with two failure modes,i.e.,starting failures and server breakdowns during service,is studied in this paper.The Markov chain underlying the considered queueing system is investigated and its ergodicity condition is obtained.Based on these results,some performance measures of the system in steady-state and a stochastic decomposition result are derived. Finally,some numerical examples show the influence of the failure parameters on the mean orbit size.
作者 王金亭 赵青
机构地区 北京交通大学数学系
出处 《应用数学学报》 CSCD 北大核心 2008年第5期901-909,共9页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10871020)资助项目
关键词 离散时间重试排队 马氏链 Kolmogrov方程 不可靠服务台 discrete-time retrial queues Markov chain Kolmogrov equations unreliable server
分类号 O226 [理学—运筹学与控制论]
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参考文献22

  • 1Alfa A S. Discrete-time Analysis of the Gi/G/1 System with Bernoulli Retrials: an Algorithmic Approach. Annals of Operations Research, 2006, 141:52-66.
  • 2Artalejo J R. Accessible Bibliography on Retrial Queues. Mathematical and Computer Modelling, 1999, 30:1-6.
  • 3Artalejo J R. A Classified Bibliography of Research on Retrial Queues: Progress in 1990-1999. Top, 1999, 7:187-211.
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  • 5Atencia I, Moreno P. Discrete-time Geo^[x]/GH/1 Retrial Queue with Bernoulli Feedback. Computers and Operations Research, 2004, 31:359-381.
  • 6Atencia I, Moreno P. A Discrete-time Geo/G/1 Retrial Queue with General Retrial Times. Queueing Systems, 2004, 48:5-21.
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同被引文献16

  • 1伍慧玲,方春锋.有休假阀值M和顾客丢失的M/G/1重试休假排队系统[J].华南师范大学学报（自然科学版）,2006,38(2):43-49. 被引量：3
  • 2Bruneel H, Kim B G. Discrete-Time Models for Communication Systems Including ATM[M]. Boston: Kluwe Academic Publishers, 1933.
  • 3Takagi H. Queueing Analysis : A foundation of Performance Evaluation, in: Discrete-time Systems[M]. vol3, North Hol- land, Amsterdan, 1993.
  • 4Woodward M E. Communication and Computer Networks: Modelling with Discrete-time Queues[M]. IEEE Computer Soc press, Los Alamitors, CA, 1994.
  • 5Artalejo J R. A Classified bibliography of Research on Retrial Queues: Progress in 1990-1999[J]. Top, 1999,7(2):187- 211.
  • 6Artalejo J R. A Classified Bibliography on Retrial Queues[J]. Mathmatical and Computer Modelling, 1999,30:1-6.
  • 7Falin G I, Templeton J G G. Retrial Queues[ M]. Chapman& Hall, London, 1997.
  • 8Yang T, Li H. On the Steady-state Queue Size Distribution of the Discrete-time Geo/G/1 Queue with Repeated Customers [J]. Queueing Systems, 1995,21 : 199-215.
  • 9Atencia I, Moreno P. Discrete-time Geo[X]/G/1 Retrial Queue with Bernoulli Feedback[J]. Computers and Operations research, 2004,31 : 359-381.
  • 10Atencia I, Moreno P. A Discrete time Geo/G/l Retrial Queue with General Retrial Times[J]. Queueing Systems, 2004, 48:5-21.

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应用数学学报
2008年 第5期

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