A Two-Class Queuing System with Non-Preemptive Priority and Server Failures.
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| Title: | A Two-Class Queuing System with Non-Preemptive Priority and Server Failures. |
|---|---|
| Authors: | Xue, Yufeng1 15703332582@163.com, Lv, Shengli2 lvshengli@ysu.edu.cn |
| Source: | IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2580-2588. 9p. |
| Subjects: | Queuing theory, System failures, Fault-tolerant computing, Stochastic matrices, Markov processes |
| Abstract: | This study develops a two-class and two-stage queuing model incorporating customers with non-preemptive priority, customer impatience, and repairable server failures. Such a design renders the model more practical and closer to real-life scenarios. Based on the model formulation, this study deduces the transition rate matrix of the system, and uses an iterative algorithm to calculate the steady-state probabilities and main performance metrics. Numerical experiments are performed to explore the influence of different parameters on the system performance metrics. Finally, the individual benefits of type A and type B customers as well as the overall benefits of the entire system are analyzed respectively, and suggestions for improving individual and overall benefits are put forward. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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 |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 195026890 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A Two-Class Queuing System with Non-Preemptive Priority and Server Failures. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Xue%2C+Yufeng%22">Xue, Yufeng</searchLink><relatesTo>1</relatesTo><i> 15703332582@163.com</i><br /><searchLink fieldCode="AR" term="%22Lv%2C+Shengli%22">Lv, Shengli</searchLink><relatesTo>2</relatesTo><i> lvshengli@ysu.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jul2026, Vol. 56 Issue 7, p2580-2588. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Queuing+theory%22">Queuing theory</searchLink><br /><searchLink fieldCode="DE" term="%22System+failures%22">System failures</searchLink><br /><searchLink fieldCode="DE" term="%22Fault-tolerant+computing%22">Fault-tolerant computing</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+matrices%22">Stochastic matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Markov+processes%22">Markov processes</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This study develops a two-class and two-stage queuing model incorporating customers with non-preemptive priority, customer impatience, and repairable server failures. Such a design renders the model more practical and closer to real-life scenarios. Based on the model formulation, this study deduces the transition rate matrix of the system, and uses an iterative algorithm to calculate the steady-state probabilities and main performance metrics. Numerical experiments are performed to explore the influence of different parameters on the system performance metrics. Finally, the individual benefits of type A and type B customers as well as the overall benefits of the entire system are analyzed respectively, and suggestions for improving individual and overall benefits are put forward. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 2580 Subjects: – SubjectFull: Queuing theory Type: general – SubjectFull: System failures Type: general – SubjectFull: Fault-tolerant computing Type: general – SubjectFull: Stochastic matrices Type: general – SubjectFull: Markov processes Type: general Titles: – TitleFull: A Two-Class Queuing System with Non-Preemptive Priority and Server Failures. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Xue, Yufeng – PersonEntity: Name: NameFull: Lv, Shengli IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 56 – Type: issue Value: 7 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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