M/M/1 queue under nonpreemptive priority

M/M/1 queue under nonpreemptive priority

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Article ID: iaor20082024
Country: China
Volume: 22
Issue: 1
Start Page Number: 44
End Page Number: 48
Publication Date: Feb 2006
Journal: The College Mathematics Journal
Authors: , ,
Keywords: markov processes
Abstract:

The performance of nonpreemptive M/M/1 queueing system with two priority is analyzed. By using complementary variable method to make vector Markov process and analyzing the state-change equations of the queueing system, the generating function of two kinds of customers' length distribution are derived under nonpreemptive priority. Through further discussion, the probability of the server which is working or free and average length of two kinds of customers are also derived.

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