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A formal approach to queueing processes in the steady state and their applications

Published online by Cambridge University Press:  14 July 2016

Masakiyo Miyazawa
Masakiyo Miyazawa*
Affiliation:
Science University of Tokyo
*
∗Postal address: Department of Information Sciences, Faculty of Science and Technology, Science University of Tokyo, Noda City, Chiba 278, Japan.
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Abstract

Using the theory of point processes, we give a formal treatment to queueing processes in the steady state. Based on this result, we obtain invariance relations between several quantities in G/G/c queues. As applications, the finiteness of their moments is discussed for G/G′/c queues. The basic results and notations used in this paper are contained in the author's previous paper (Miyazawa (1977)).

Keywords

FCFS MANY-SERVER QUEUESSTATIONARY INPUTINVARIANCE RELATIONSEXISTENCE OF MOMENTSSTEADY-STATE DISTRIBUTIONSPOINT PROCESSPALM MEASURE
Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 2 , June 1979 , pp. 332 - 346
Copyright
Copyright © Applied Probability Trust 1979 

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