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