摘要
将负顾客和反馈相结合研究了一类带有负顾客且具有反馈的M/G/1排队系统,正顾客服务完会以一定的概率立刻排到队尾等待下一次服务,以一定的概率离开系统,永不再来。这里考虑了负顾客的两种抵消情况,分别是负顾客抵消队列中的最后一个正顾客和负顾客抵消队首的正顾客,并分别给出了它们稳态存在的充分必要条件,利用补充变量法和状态转移分析模型,得到了它们的稳态队长的概率母函数。
The negative customers and the feedback are combined to study a type of M/G/1 queuing with negative customers and feedback. It is assumed that the positive customers return to the queue at some rate and leave the queue at the other rate. Two kinds of removal rules of negative customers are analyzed. There are arrivals of a negative customer which removes only a positive customer from the system end and which removes only a customer from the system head. The necessary and sufficient conditions are given for their stability respectively. By use of the supplemental variable method and state transfer analysis their generating functions in the steady state are obtained.
出处
《成都信息工程学院学报》
2007年第1期126-130,共5页
Journal of Chengdu University of Information Technology
基金
国家自然科学基金资助项目(70571030)
关键词
负顾客
反馈
补充变量法
L变换
概率母函数
negative customer
feedback
supplemental variable method
L transform
generating function
