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一类具有到达损失、第二次多选服务、反馈的M/G/1重试排队系统
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作者 王晓春 朱翼隽 《成都信息工程学院学报》 2011年第4期382-387,共6页
考虑了一个具有到达损失、第二次多选服务、反馈和一般重试时间的M/G/1排队模型。假定重试区域中只有队首的顾客允许重试。重试时间具有一般分布时,得到了系统稳态的充分必要条件。使用补充变量法和状态转移方程分析该模型,求得稳态时... 考虑了一个具有到达损失、第二次多选服务、反馈和一般重试时间的M/G/1排队模型。假定重试区域中只有队首的顾客允许重试。重试时间具有一般分布时,得到了系统稳态的充分必要条件。使用补充变量法和状态转移方程分析该模型,求得稳态时系统队长和重试区域中队长分布及相关指标。 展开更多
关键词 排队 重试排队 可选服务 补充变量法 m/g/排队
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TRANSIENT QUEUE SIZE DISTRIBUTION SOLUTION OF GEOM/G/1 QUEUE WITH FEEDBACK-A RECURSIVE METHOD 被引量:1
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作者 Chuanyi LUO Yinghui TANG Cailiang LI 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2009年第2期303-312,共10页
This paper considers the Geom/G/1 queueing model with feedback according to a late arrival system with delayed access (LASDA). Using recursive method, this paper studies the transient property of the queue size from... This paper considers the Geom/G/1 queueing model with feedback according to a late arrival system with delayed access (LASDA). Using recursive method, this paper studies the transient property of the queue size from the initial state N(0+) = i. Some new results about the recursive expression of the transient queue size distribution at any epoch n+ and the recursive formulae of the equilibrium distribution are obtained. Furthermore, the recursive formulae of the equilibrium queue size distribution at epoch n-, and n are obtained, too. The important relations between stationary queue size distributions at different epochs are discovered (being different from the relations given in M/G/I queueing system). The model discussed in this paper can be widely applied in all kinds of communications and computer network. 展开更多
关键词 Discrete time queue equilibrium distribution FEEDBACK recursive expression transient distribution.
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Time-dependent analysis for a queue modeled by an infinite system of partial differential equations 被引量:4
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作者 GUPUR Geni 《Science China Mathematics》 SCIE 2012年第5期985-1004,共20页
By studying the spectrum of the underlying operator corresponding to the exhaustive-service M/G/1 queueing model with single vacations we prove that the time-dependent solution of the model strongly converges to its s... By studying the spectrum of the underlying operator corresponding to the exhaustive-service M/G/1 queueing model with single vacations we prove that the time-dependent solution of the model strongly converges to its steady-state solution. 展开更多
关键词 m/g/1 queueing model with single vacation resolvent set EIgENVALUE
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