Asymptotic properties of the four indices for M/M/1 queue system

Asymptotic properties of the four indices for M/M/1 queue system

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Article ID: iaor20043370
Country: China
Volume: 33
Issue: 1
Start Page Number: 45
End Page Number: 48
Publication Date: Jan 2003
Journal: Mathematics in Practice and Theory
Authors: ,
Keywords: M/M/1 queues
Abstract:

By using C0-semigroup theory of linear operators the four indices of M/M/1 queueing system: the average waiting time of the customers, the average staying time of the customers, the average number of the customers and the average number of customers who wait for service, have been studied. The asymptotic stability of these indices has been obtained.

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