Veretennikov, AY (2020) On mean-field (GI/GI/1) queueing model: existence and uniqueness. Queueing Systems, 94 (3-4). pp. 243-255. ISSN 0257-0130
Abstract
A mean-field extension of the queueing system (GI/GI/1) is considered. The process is constructed as a Markov solution of a martingale problem. Uniqueness in distribution is also established under a slightly different set of assumptions on intensities in comparison with those required for existence.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019, Springer Science+Business Media, LLC, part of Springer Nature. This is an author produced version of a journal article published in Queueing Systems. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | GI/GI/1; Mean-field; Existence; Weak uniqueness; Skorokhod lemma |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 09 Aug 2019 13:40 |
Last Modified: | 04 Sep 2020 00:38 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s11134-019-09626-x |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:149505 |