Abstract
This paper presents a study of an infinite-server multistage queuing system with a high-rate renewal arrival process and arbitrary service time. It is shown that under the condition of infinitely increasing rate of arrival, the multidimensional distribution of the probabilities of the number of servers employed to service stages of the system can be approximated by a multidimensional normal distribution. The expectation vector and the covariance matrix of this distribution were obtained.
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