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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spelling ftciteseerx:oai:CiteSeerX.psu:10.1.1.570.8890 2023-05-15T17:30:57+02:00 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 Mykola Bratiychuk The Pennsylvania State University CiteSeerX Archives 2003 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.570.8890 http://www.emis.de/journals/HOA/JAMSA/Volume16_4/326.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.570.8890 http://www.emis.de/journals/HOA/JAMSA/Volume16_4/326.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.emis.de/journals/HOA/JAMSA/Volume16_4/326.pdf Queueing System Ergodic Distribution Potential Method text 2003 ftciteseerx 2016-01-08T12:31:31Z 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. Text North Atlantic Unknown
institution Open Polar
collection Unknown
op_collection_id ftciteseerx
language English
topic Queueing System
Ergodic Distribution
Potential Method
spellingShingle Queueing System
Ergodic Distribution
Potential Method
Mykola Bratiychuk
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
topic_facet Queueing System
Ergodic Distribution
Potential Method
description 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.
author2 The Pennsylvania State University CiteSeerX Archives
format Text
author Mykola Bratiychuk
author_facet Mykola Bratiychuk
author_sort Mykola Bratiychuk
title 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
title_short 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
title_full 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
title_fullStr 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
title_full_unstemmed 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
title_sort 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
publishDate 2003
url http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.570.8890
http://www.emis.de/journals/HOA/JAMSA/Volume16_4/326.pdf
genre North Atlantic
genre_facet North Atlantic
op_source http://www.emis.de/journals/HOA/JAMSA/Volume16_4/326.pdf
op_relation 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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