Studies on performance analysis of service system with impatient customers

在这项研究中，我们考虑了一个排队模型，其中每个等待的客户有一个等待时间限制开始之前，它的服务。我们调查的影响，等待时间限制的性能指标的排队模型。为此，我们首先得到了服务和不耐烦的客户的等待时间分布的尾渐近，然后提供了一个近似的等待时间分布的解析易处理的形式。接下来，我们应用马尔可夫近似的离开过程的不耐烦的客户，并提出了一个近似模型。仿真实验表明，该近似模型具有较好的精度。

In this study, we consider a queueing model in which each waiting customer has a waiting time limit before the beginning of its service. We investigate the impact of the waiting time limits on the performance measures of the queueing model. To this end, we first we obtain the tail asymptotics of the waiting time distributions of served and impatient customers, and then provide an approximation for the waiting time distribution in an analytically tractable form. We next apply a Markovian approximation for the departure process of the impatient customers, and propose an approximation model. Through some simulation experiments, the approximation model is shown to have a good accuracy.