Abstract
This article mainly introduces M/M/1 queue and M/M/S queue applied in nucleic acid tests which are applications of Markov chains in queuing theory. Firstly, it is pointed that in the two kinds of queuing models, the arrival time and the service time have no aftereffect which means the two kinds of time both belong to the Markov chain, and it is also illustrated that the arrival time and the service time obey the Poisson distribution, which reflects the uniqueness and stability of the two types of queuing models. The distribution functions of waiting time, service time queue length and so on could be obtained by solving the models. Therefore, by comparing the advantages and disadvantages of different models, the managers could make better decisions which are helpful to allocate resources reasonably, avoid overcrowding and decrease the risk of virus transmission. Furthermore, some other queuing models which are in the more special cases and the innovations of many queuing models are also presented briefly. In the end, the applications of such queuing models in other fields are shown.
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