中文摘要：

研究了具有负顾客到达和一般重试时间的离散时间Geo/G/1重试排队系统.分析了其嵌入马氏链,得到了系统稳态存在的充要条件,利用补充变量法得到了系统演化的平衡方程组.通过求解这些平衡方程得到了嵌入马氏链的平稳分布.进而得到了一系列重要的排队性能指标.最后将此排队系统应用到蜂窝移动通信通信网中.数值实例说明系统各参数对排队性能指标的影响程度.

英文摘要：

A discrete-time Geo/G/1 retrial queueing system with negative customers and general retrial times was studied. The Markov.chain embedded to the considered queueing system was analyzed. The system state distri- bution as well as the orbit size and the system size distributions were obtained in terms of their generating functions, which yield exact expressions for different performance measures. Besides, the stability condition of the system was derived. Finally, an application to the cellular mobile communication network is provided and some numerical ex- amples are provided to illustrate the impact of several parameters on some crucial performance characteristics of the system. Key words discrete-time queueing system; retrial; negative customer; Markov chain; cellular mobile com- munication network