有不成功启动和反馈的离散时间重试排队

A Discrete-Time Retrial Queue with Starting Failure and Feedback

讨论带有不成功启动和反馈的离散时间Geo/G/1重试排队,系统中顾客在完成服务之后,有一部分顾客返回重试空间等待下一个服务,另一部分顾客则离开系统.文中讨论了这个模型下的马尔可夫链和它的遍历条件,并计算出了该系统在稳态条件下的一些参数,还给出了两个随机分解法则.最后用两个例子说明了一些参数对重试空间平均队长的影响.

We consider a discrete-time Geo/G/1 retrial queue with starting failure where all the arriving customers finish their service while only some of them returns to the orbit for another service. We study the Markov chain underlying the considered queueing system and its ergodicity condition. We present some performance measures of the system in steady-state. Then, we give two stochastic decomposition laws. Finally, some numerical examples show the influence of the parameters on several performance characteristics.