【摘要】 本文主要研究了顾客一般独立批到达、指数批服务、缓冲器容量有限的单个服务器的排队系统,本文首先使用补充变量和嵌入马氏链的方法,在部分拒绝和全部拒绝情形下,得到系统排队队长的稳态分布,进而得到相应的性能指标,如系统的平均排队长、平均等待时间、损失概率等.其次对等待时间进行了分析.更多还原

【Abstract】 In this paper,we study the general independent bulk arrivals,exponentially bulk service,and finite buffer size queueing system with partial rejection and the total rejection.The supplementary variable and the embedded Markov chain are used. And the probability distributions of the system queueing length are obtained.Therefore the performance measures such as the average queueing length,the average waiting time and the blocking probabilities are obtained.Furthermore,we discuss the waiting time of the first customer,an arbitrary customer and the last customer of an arriving batch which is accepted under the FCFS service discipline.更多还原