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带启动-关闭期的多重休假M/G/1排队 被引量:12

M/G/1 multiple vacation queueing with set-up and close periods
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摘要 研究多重休假带启动-关闭期的M/G/1排队。给出稳态队长和等待时间分布的母函数及其随机分解结果,并给出附加队长和附加延迟时间的PH的封闭性,推导出忙期、全假期和在线期母函数和均值。 In this paper, a continuing time multiple vacation of M/G/1 queueing with set-up and close period is considered. The generating function and the stochastic decomposition of the steady state queue length and waiting time distributions are derived, and thePHexpressions ofadditional length and delayedwaitingtime are given.The generating function and expection of the busying period, whole vacation period and on-line period are calculated.
出处 《燕山大学学报》 CAS 2005年第1期8-12,共5页 Journal of Yanshan University
基金 国家自然科学重点基金(No.70031020)
关键词 M/G/1排队 多重休假 关闭期 母函数 忙期 随机分解 稳态队长 启动 在线 等待时间 continuing-time queues stochastic decomposition multiple vacation set-up period close period whole vacation period on-line period
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参考文献8

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二级参考文献7

  • 1Jacqueline Loris-Teghem. Vacation policies in an M/G/1 type queueing system with finite capacity[J] 1988,Queueing Systems(1):41~52
  • 2Tayfur Altiok. Queues with group arrivals and exhaustive service discipline[J] 1987,Queueing Systems(4):307~320
  • 3B. T. Doshi. Queueing systems with vacations — A survey[J] 1986,Queueing Systems(1):29~66
  • 4B. T. Doshi. Queueing systems with vacations — A survey[J] 1986,Queueing Systems(1):29~66
  • 5田乃硕.休假随机服务系统[J].运筹学杂志,1990,9(1):17-30. 被引量:40
  • 6TANG Yinghui\ TANG Xiaowo (Department of Applied Math.,Management college,Univer.of Electronic Science and Technology of China, Chengdu,Sichuan 610054.An M/G/1 Queueing System with Delay Server Vacations[J].Systems Science and Systems Engineering,1998,8(1):29-36. 被引量:6
  • 7田乃硕.多级适应性休假的M/G/1排队[J].应用数学,1992,5(4):12-18. 被引量:36

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