In this note, a general approach to the study of non-stationary Markov chains with catastrophes and the corresponding queuing models is considered, as well as to obtain estimates of the limiting regime itself. As an illustration, an example of a queuing model is studied.

中文翻译：

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带有突变的马尔可夫排队模型的收敛速度的上界。

在本说明中，考虑了研究具有突变的非平稳Markov链和相应的排队模型的一般方法，以及获得了对限制制度本身的估计。作为说明，研究了排队模型的示例。