论文标题

$ m_t/m_t/1 $排队,灾难,灾难,服务器故障和维修

Ergodicity and Perturbation Bounds for $M_t/M_t/1$ Queue with Balking, Catastrophes, Server Failures and Repairs

论文作者

Zeifman, Alexander, Satin, Yacov, Kovalev, Ivan, Ammar, Sherif I.

论文摘要

在本文中,我们将展示用于计算$ m_t/m_t/1 $系统收敛和扰动边界的方法,该系统具有balking,灾难,服务器故障和维修。基于线性运算符的对数规范,获得了收敛速率,扰动边界的边界以及队列长度过程的主要限制特征。最后,我们考虑所有获得的估计值的应用到特定模型。

In this paper, we display methods for the computation of convergence and perturbation bounds for $M_t/M_t/1$ system with balking, catastrophes, server failures and repairs. Based on the logarithmic norm of linear operators, the bounds on the rate of convergence, perturbation bounds, and the main limiting characteristics of the queue-length process are obtained. Finally, we consider the application of all obtained estimates to a specific model.

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