Investigation of the multi-stage queueing system GI/(M/∞) K by means of the raw moment method

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Authors: Matveev S. A., Moiseev A. N., Nazarov A. A.

Annotation: The paper presents an investigation of the multi-stage queueing system with renewal arrival process, infinite number of servers and exponential service times at the system stages. Expressions for the first- and the secondorder raw moments for the number of customers at the system stages are obtained. We compared the obtained results with the results of previous investigations under asymptotic conditions.

Keywords: multistage queueing system, renewal arrival process, method of raw moments, infinite-server system

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