Study of the Queuing Systems \(M|GI|N|\infty \)
In this paper, we study the queuing system with unlimited queue and with N servers. We obtain the approximation of probability distribution of the number of customers in the system. We obtain the formula of the probability of immediate service and the characteristic function of a positive waiting time. The optimal number of servers can be determined by the obtained characteristics.
KeywordsQueuing systems Waiting time Approximation of the probability distribution Queue
The work is performed under the state order of the Ministry of Education and Science of the Russian Federation (No. 1.511.2014/K).
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