Sample-path moderate deviation principle for GI/GI/1+GI queues in the nearly critically loaded regime.
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| Title: | Sample-path moderate deviation principle for GI/GI/1+GI queues in the nearly critically loaded regime. |
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| Authors: | Feng, Chang1 (AUTHOR) chang.feng@utexas.edu, Hasenbein, John J.1 (AUTHOR) has@me.utexas.edu, Pang, Guodong2 (AUTHOR) gdpang@rice.edu |
| Source: | Queueing Systems. Jun2025, Vol. 109 Issue 2, p1-37. 37p. |
| Subjects: | Large deviation theory, Square root |
| Abstract: | This paper establishes sample-path moderate deviation principles (MDP) for GI/GI/1+GI queues in the nearly critically loaded regime (or near-heavy-traffic regime). The processes of interest including queue-length process and offered waiting time process are scaled appropriately, with the space scaled in between the order of the time scaling and its square root. The rate functions in the sample-path MDPs for these processes can be explicitly expressed. We employ the method of exponential tightness, exponential equivalence and the contraction principle in large deviation theory and apply to these MDP-scaled processes. [ABSTRACT FROM AUTHOR] |
| Copyright of Queueing Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 183754282 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Sample-path moderate deviation principle for GI/GI/1+GI queues in the nearly critically loaded regime. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Feng%2C+Chang%22">Feng, Chang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> chang.feng@utexas.edu</i><br /><searchLink fieldCode="AR" term="%22Hasenbein%2C+John+J%2E%22">Hasenbein, John J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> has@me.utexas.edu</i><br /><searchLink fieldCode="AR" term="%22Pang%2C+Guodong%22">Pang, Guodong</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> gdpang@rice.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Queueing+Systems%22">Queueing Systems</searchLink>. Jun2025, Vol. 109 Issue 2, p1-37. 37p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Large+deviation+theory%22">Large deviation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Square+root%22">Square root</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper establishes sample-path moderate deviation principles (MDP) for GI/GI/1+GI queues in the nearly critically loaded regime (or near-heavy-traffic regime). The processes of interest including queue-length process and offered waiting time process are scaled appropriately, with the space scaled in between the order of the time scaling and its square root. The rate functions in the sample-path MDPs for these processes can be explicitly expressed. We employ the method of exponential tightness, exponential equivalence and the contraction principle in large deviation theory and apply to these MDP-scaled processes. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Queueing Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=183754282 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s11134-025-09939-0 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 37 StartPage: 1 Subjects: – SubjectFull: Large deviation theory Type: general – SubjectFull: Square root Type: general Titles: – TitleFull: Sample-path moderate deviation principle for GI/GI/1+GI queues in the nearly critically loaded regime. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Feng, Chang – PersonEntity: Name: NameFull: Hasenbein, John J. – PersonEntity: Name: NameFull: Pang, Guodong IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 02570130 Numbering: – Type: volume Value: 109 – Type: issue Value: 2 Titles: – TitleFull: Queueing Systems Type: main |
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