| 摘要: |
| 研究带有Bernoulli反馈、启动期、休假中断的多级适应性休假M/M/1排队系统，结合模型的平衡方程，采用生成函数的方法求出系统中顾客数的概率母函数(PGF)、平均顾客数、系统服务员处在忙期的概率、服务员处在假期的概率、服务员处在启动期的概率以及服务员处在空闲的概率；同时利用强马尔可夫的性质，求出系统中顾客逗留时间的拉普拉斯变换（LST）。 |
| 关键词: 反馈 启动期 多级适应性休假 强马尔可夫性 逗留时间 |
| DOI： |
| 分类号: |
| 基金项目: |
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| M/M/1 Queue with Feedback, Start up, Vacation Interruption of Multi stage Adaptive Vacation |
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ZHU Shao cheng, LIU Li wei
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| Abstract: |
| This paper studies M/M/1 queuing system with Bernoulli feedback, start up, vacation interruption of multi stage adaptive vacation, by combining with the equilibrium equation of the model, uses generating function to solve the probability generating function (PGF) of the expected number of customers in the system, average number of customers, the probability of system waiter in a busy period, the probability of a waiter in a holiday, the probability of an attendant at start up stage, and the probability of an attendant in the free period. In addition, by using the properties of strong Markov, the Laplace transform of the customers sojourn in the system is solved. |
| Key words: feedback start up multi stage adaptive vacation property of strong Markov sojourn |
