Journal of Applied Mathematics and Stochastic Analysis, 16:4 (2003), 311-326. Printed in the USA c©2003 by North Atlantic Science Publishing Company ON THE ERGODIC DISTRIBUTION OF OSCILLATING QUEUEING SYSTEMS

This paper examines a new class of queueing systems and proves a theorem on the existence of the ergodic distribution of the number of customers in such a system. An ergodic distribution is computed explicitly for the special case of a G/M-M/1 system, where the interarrival distribution does not cha...

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Bibliographic Details
Main Author: Mykola Bratiychuk
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Published: 2003
Subjects:
Queueing System
Ergodic Distribution
Potential Method
North Atlantic
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.570.8890
http://www.emis.de/journals/HOA/JAMSA/Volume16_4/326.pdf
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Summary:This paper examines a new class of queueing systems and proves a theorem on the existence of the ergodic distribution of the number of customers in such a system. An ergodic distribution is computed explicitly for the special case of a G/M-M/1 system, where the interarrival distribution does not change and both service distributions are exponential. A numerical example is also given.

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