一类有负顾客的GI/G/1重试可修排队系统的极限分布

Limit distribution of the length for a kind of GI/G/1 retrial queue with negative customers and repair

利用马尔可夫骨架过程和Doob骨架过程及其极限理论,主要得出了一类有负顾客的GI/G/1重试可修排队系统队长的极限分布.此类系统是指在新到达的顾客到达时间间隔服从负指数分布、且负顾客带走全部正顾客(包括正在服务的顾客)的条件下的有负顾客的GI/G/1重试可修排队系统.

Using the Markov skeleton processes, Doob skeleton processes and interrelated limit theories, the limit distribution of the length for a kind of GI/G/1 retrial queue with negative customers and repair is presented. The kind of system is under the condition that the distribution of the arrival time intervals of the new customers is negative exponential distribution and the negative customer will take away all positive customers once he or she arrives.