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带有止步和N-策略的M/H_2/1多重休假排队系统 被引量:2

M/H_2/1 Queuing System with Balking,N-Policy and Multiple Vacations
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摘要 本文研究一个带有止步和N-策略的M/H2/1多重休假排队系统。利用拟生灭过程与矩阵几何解的方法求出了系统的稳态平衡条件和稳态概率分布。此外,本文还求出了系统的一些性能指标。 In this paper, we consider an M/H2/1 queuing system with balking, N-policy and multiple vacations. By using the Quasi-Birth-Death process and the matrix geometric solution, we obtain the equilibrium conditions of the system and the steady-state probability distribution. In addition, we get some performance measures of the system.
机构地区 燕山大学理学院
出处 《运筹与管理》 CSCD 2007年第4期56-60,共5页 Operations Research and Management Science
基金 国家自然科学基金资助项目(70671088) 河北省自然科学基金资助项目(A2004000185)
关键词 排队系统 稳态概率 性能指标 矩阵几何解 多重休假 止步 N-策略 queuing system steady-state probability performance measures matrix geometric solution multiple vacations balking N-policy
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参考文献5

  • 1Doshi B.Queuing systems with vacations.a survey[J].Queues systems.1986,(1):29-66.
  • 2Yue Dequan,Zhang Yan,Yue Wuyi.Optimal performance analysis of an M/M/1/N queue system with balking,reneging and server vacation[J].International Journal of Pure and Applied Mathematics,2006,28(1):101-115.
  • 3Yue Dequan,Li Chunyan.Performance analysis of the state-dependent M/Ek/1 queue with balking and server vacation[C].ORSC,2006,576-583.
  • 4Wang Kuo-hsing,Chang Kuan-wen,Sivazlian B D.Optimal control of a removable and non-reliable server in an infinite and a finite M/H2/1 queuing system[J].Applied Mathematical Modelling,1999,23:651-666.
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同被引文献13

  • 1Madan K C. An M/G/1 queue with second optional service[J]. Queue. Syst, 2000(34): 37-46.
  • 2Medhi J. A single server poisson input queue with a second optional channel[J]. Queue. Syst, 2002(42): 239-242.
  • 3William J. Gray, Pu Parick Wang, MecKinley Scot. A vacation queueing model with service break- downs [J]. Applied Mathematics Modelling, 2000, 24: 391-400.
  • 4Yue D, Zhang Y, Yue W: Optimal performance analysis of an M/M/1/N queue system with balking, reneging and server vacation[J]. International Journal of Pure and Applied Mathematics, 2006(28): 101-115.
  • 5William J. Gray, Pu Pariek Wang,MecKinley Seot.A vacation queueing model with service breakdowns [J]. Applied Mathematics Modelling, 2000(24):391-400.
  • 6Madan K C, An M/G/1 queue with second optional service[J]. Queue. Syst.,2000(34):37-46.
  • 7Medhi J, A single server poisson input queue with a second optional channel[J]. Queue. Syst. ,2002(42):239-242.
  • 8Yue D,Zhang Y, Yue W.Optimal performance analysis of an M/M/I/N queue system with balking,reneging and server vacation[J].International Journal of Pure and Applied Mathematics,2006(28): 101-115.
  • 9Choudhury G. An M/G/1 queue with two phases of service subject to the server breakdown and delayed repair[J]. Applied mathernatial modelling,2009(33):2699-2709.
  • 10岳德权,孙妍平.带有止步和中途退出的M/M/C/N部分服务员同步多重休假排队系统的等待时间[J].系统工程理论与实践,2008,28(2):89-97. 被引量:5

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