Non-Extensive Kaniadakisian Maximum Entropy Formalisms of Stable Heavy-Tailed M/G/1 Queueing System
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| Titel: | Non-Extensive Kaniadakisian Maximum Entropy Formalisms of Stable Heavy-Tailed M/G/1 Queueing System |
|---|---|
| Autoren: | Mageed, Ismail A, orcid:0000-0002-3691- |
| Verlagsinformationen: | Zenodo |
| Publikationsjahr: | 2025 |
| Bestand: | Zenodo |
| Schlagwörter: | Queueing Theory, Information Theory, Statistical physics, Stable M/G/1 queue, embedded Markov chain (EMC), server utilization (SU), generalized entropy functionals, probability density function(PDF) |
| Beschreibung: | Focussing on an inductive application of Kaniadakisian formalism on the analysis of a stable M/G/1 queue, novel state probability and , are explicitly determined, subject to normalisation, server utilisation(SU) and Pollaczeck-Khinchin (P-K) mean queue length (MQL) constraints. Typical numerical experiments illustrate the impact of Kaniadakisian EME state probability, with ‘long-range interactions’ of order, (0 < <0.5) on the stable M/GE/1 queue with heavy tails. Moreover, new links are uncovered between and the corresponding Rényian and Tsallisian formalisms, and . Numerical experiments are illustrated to show the great information theoretic extensive parameter (0 < <0.5) on the overall performance of the newly devised formalism. Conclusion combined with the next research phase are provided. |
| Publikationsart: | report |
| Sprache: | unknown |
| Relation: | https://zenodo.org/records/16585887; oai:zenodo.org:16585887; https://doi.org/10.5281/zenodo.16585887 |
| DOI: | 10.5281/zenodo.16585887 |
| Verfügbarkeit: | https://doi.org/10.5281/zenodo.16585887 https://zenodo.org/records/16585887 |
| Rights: | Creative Commons Attribution 4.0 International ; cc-by-4.0 ; https://creativecommons.org/licenses/by/4.0/legalcode |
| Dokumentencode: | edsbas.39C1DE3D |
| Datenbank: | BASE |
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| Items | – Name: Title Label: Title Group: Ti Data: Non-Extensive Kaniadakisian Maximum Entropy Formalisms of Stable Heavy-Tailed M/G/1 Queueing System – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mageed%2C+Ismail+A%22">Mageed, Ismail A</searchLink><br /><searchLink fieldCode="AR" term="%22orcid%3A0000-0002-3691-%22">orcid:0000-0002-3691-</searchLink> – Name: Publisher Label: Publisher Information Group: PubInfo Data: Zenodo – Name: DatePubCY Label: Publication Year Group: Date Data: 2025 – Name: Subset Label: Collection Group: HoldingsInfo Data: Zenodo – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Queueing+Theory%22">Queueing Theory</searchLink><br /><searchLink fieldCode="DE" term="%22Information+Theory%22">Information Theory</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+physics%22">Statistical physics</searchLink><br /><searchLink fieldCode="DE" term="%22Stable+M%2FG%2F1+queue%22">Stable M/G/1 queue</searchLink><br /><searchLink fieldCode="DE" term="%22embedded+Markov+chain+%28EMC%29%22">embedded Markov chain (EMC)</searchLink><br /><searchLink fieldCode="DE" term="%22server+utilization+%28SU%29%22">server utilization (SU)</searchLink><br /><searchLink fieldCode="DE" term="%22generalized+entropy+functionals%22">generalized entropy functionals</searchLink><br /><searchLink fieldCode="DE" term="%22probability+density+function%28PDF%29%22">probability density function(PDF)</searchLink> – Name: Abstract Label: Description Group: Ab Data: Focussing on an inductive application of Kaniadakisian formalism on the analysis of a stable M/G/1 queue, novel state probability and , are explicitly determined, subject to normalisation, server utilisation(SU) and Pollaczeck-Khinchin (P-K) mean queue length (MQL) constraints. Typical numerical experiments illustrate the impact of Kaniadakisian EME state probability, with ‘long-range interactions’ of order, (0 < <0.5) on the stable M/GE/1 queue with heavy tails. Moreover, new links are uncovered between and the corresponding Rényian and Tsallisian formalisms, and . Numerical experiments are illustrated to show the great information theoretic extensive parameter (0 < <0.5) on the overall performance of the newly devised formalism. Conclusion combined with the next research phase are provided. – Name: TypeDocument Label: Document Type Group: TypDoc Data: report – Name: Language Label: Language Group: Lang Data: unknown – Name: NoteTitleSource Label: Relation Group: SrcInfo Data: https://zenodo.org/records/16585887; oai:zenodo.org:16585887; https://doi.org/10.5281/zenodo.16585887 – Name: DOI Label: DOI Group: ID Data: 10.5281/zenodo.16585887 – Name: URL Label: Availability Group: URL Data: https://doi.org/10.5281/zenodo.16585887<br />https://zenodo.org/records/16585887 – Name: Copyright Label: Rights Group: Cpyrght Data: Creative Commons Attribution 4.0 International ; cc-by-4.0 ; https://creativecommons.org/licenses/by/4.0/legalcode – Name: AN Label: Accession Number Group: ID Data: edsbas.39C1DE3D |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.5281/zenodo.16585887 Languages: – Text: unknown Subjects: – SubjectFull: Queueing Theory Type: general – SubjectFull: Information Theory Type: general – SubjectFull: Statistical physics Type: general – SubjectFull: Stable M/G/1 queue Type: general – SubjectFull: embedded Markov chain (EMC) Type: general – SubjectFull: server utilization (SU) Type: general – SubjectFull: generalized entropy functionals Type: general – SubjectFull: probability density function(PDF) Type: general Titles: – TitleFull: Non-Extensive Kaniadakisian Maximum Entropy Formalisms of Stable Heavy-Tailed M/G/1 Queueing System Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mageed, Ismail A – PersonEntity: Name: NameFull: orcid:0000-0002-3691- IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2025 Identifiers: – Type: issn-locals Value: edsbas – Type: issn-locals Value: edsbas.oa |
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