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两个修理工的M/M/2可修排队系统 被引量:5

The M/M/2 Repairable Queue System with Two Repairmen
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摘要 该文研究两个修理工的M/M/2可修排队系统,系统有两个相同的服务台,服务台忙时与闲时故障率不同.文中给出系统的稳态状态概率,系统的稳态可用度及系统的稳态平均队长,并给出系统稳态概率存在的条件. In this paper, we consider the M/M/2 queueing system with service interruptions. The rates of server breakdown are different between busy time and idle time,and there are two repairmen in the system. We obtain the steady-state probabilities of the states, the steadystate availability and the steady-state queueing length, give the condition for the existence of the steady-state probabilities.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2008年第6期1109-1118,共10页 Acta Mathematica Scientia
基金 国家自然科学基金(70671088) 河北省自然科学基金(A2004000185) 燕山大学博士基金(B258)资助
关键词 可修排队 稳态分布存在条件 稳态可用度 队长 Repairable queueing system Steady-state condition Reliability Queueing length.
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参考文献9

  • 1Federgruen A, So K C. Optimal maintenance police for single-server queueing systems subject to break- down. Opns Res, 1990, 38(2): 330-343.
  • 2Wang K H. Optimal operation of a Markovian queueing system with a removable and non-reliable server. Microeleetronics and Reliability. 1995, 35(8): 1131-1136.
  • 3Tang Y H. Downtime of service station in M/G/1 queueing system with repairable service station. Micro- electronics and Reliability, 1996, 36(2): 199-202.
  • 4Yeh Lam, Yuan Lin Zhang, Qun Liu. A geometric process model for M/M/1 queueing system with a repairable service station. European Journal of Operational Research, 2006, 168(1): 100-121.
  • 5Mitrany I L, Avi-Itzhak B. Many-server queue with service interruptions. Operations Res, 1968, 16(3): 628-638.
  • 6Neuts M F, Lucantoni D M. A markovian queue with N servers subject to breakdowns and repairs. Mgmt Sci, 1979, 25(9): 849-861.
  • 7William J Gray, Pu Patrick Wang, MecKinley Scott. A vacation queueing model with service breakdowns. Applied Mathematical Modelling, 2000, 24(5): 392-400.
  • 8Latouche G, Neuts M F. Efficient algorithmic solutions to exponential tandem queues with blocking. SIAM J Algebraic and Discrete Methods, 1980, 1(1): 93- 106.
  • 9Sheldon M Ross. Stochastic Processes. New York: John Wiley & Sons, Inc, 1983. 1-211.

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