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带启动时间的多级适应性休假连续时间排队的PH封闭性 被引量:1

PH closure properties of continuous time queue with multiple adaptive vacation and Set - Up time
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摘要 在文献[1]基础上,研究了带启动时间的多级适应性休假连续时间的到达顾客服从 POISSON分布、顾客服务时间服从一般分布的单个服务台排队的PH的封闭性.分别给出了附加队长和附加延迟时间LST的PH表示,并用概率母函数来分析系统在稳态条件下的全假期、闲期和在线期,同时给出它们的母函数和均值. Based on the literature [ 1 ], PH closure properties of continuous time queueing model with multiple adaptive vacation and set - up time, in which the arrival process of customer is Poisson distribution and the service time of customer obeys general distribution with a server, are considered. PH representations of additional lenghth and LST of additional delayed - time of steady state system are derived. The whole vacation period, idle period and on - line period of system are analysed, and their generating functions and means are given.
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2005年第4期521-524,共4页 Journal of Natural Science of Heilongjiang University
基金 国家自然科学资金资助项目(10271102)
关键词 休假排队 启动时间 PH表示 全假期 闲期 在线期 vacation queue Set - Up time PH representation whole vacation period idle period on - line period
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