Stability Analysis of a Multi-class Retrial Queue with General Retrials and Classical Retrial Policy
We deal with a single server multi-class retrial model, feed by Poisson input. The system is considered under classical retrial policy, while inter-retrial times are class dependent an generally distributed. Such system have various applications like multi-access protocols or cellular mobile network...
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| Format: | Article |
| Language: | English |
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FRUCT
2021-01-01
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| Series: | Proceedings of the XXth Conference of Open Innovations Association FRUCT |
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| Online Access: | https://www.fruct.org/publications/fruct28/files/Nek.pdf |
| _version_ | 1811271212738805760 |
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| author | Ruslana Nekrasova |
| author_facet | Ruslana Nekrasova |
| author_sort | Ruslana Nekrasova |
| collection | DOAJ |
| description | We deal with a single server multi-class retrial model, feed by Poisson input. The system is considered under classical retrial policy, while inter-retrial times are class dependent an generally distributed. Such system have various applications like multi-access protocols or cellular mobile networks, where blocked messages are sent again after some waiting period. We rely on regenerative approach and results from renewal theory to obtain the stability criterion of the system under consideration and present some simulation results, to illustrate that obtained condition could be extended to the case with general input. |
| first_indexed | 2024-04-12T22:16:03Z |
| format | Article |
| id | doaj.art-28516726a6554c85bc9c3e1330a939af |
| institution | Directory Open Access Journal |
| issn | 2305-7254 2343-0737 |
| language | English |
| last_indexed | 2024-04-12T22:16:03Z |
| publishDate | 2021-01-01 |
| publisher | FRUCT |
| record_format | Article |
| series | Proceedings of the XXth Conference of Open Innovations Association FRUCT |
| spelling | doaj.art-28516726a6554c85bc9c3e1330a939af2022-12-22T03:14:31ZengFRUCTProceedings of the XXth Conference of Open Innovations Association FRUCT2305-72542343-07372021-01-0128132833310.23919/FRUCT50888.2021.9347627Stability Analysis of a Multi-class Retrial Queue with General Retrials and Classical Retrial PolicyRuslana Nekrasova0Institute of Applied Mathematical Research KarRC RAS / Petrozavodsk State University, RussiaWe deal with a single server multi-class retrial model, feed by Poisson input. The system is considered under classical retrial policy, while inter-retrial times are class dependent an generally distributed. Such system have various applications like multi-access protocols or cellular mobile networks, where blocked messages are sent again after some waiting period. We rely on regenerative approach and results from renewal theory to obtain the stability criterion of the system under consideration and present some simulation results, to illustrate that obtained condition could be extended to the case with general input.https://www.fruct.org/publications/fruct28/files/Nek.pdfretrial modelclassical retrial policygeneral retrialsstabilityregenerative approachlorden's inequality |
| spellingShingle | Ruslana Nekrasova Stability Analysis of a Multi-class Retrial Queue with General Retrials and Classical Retrial Policy Proceedings of the XXth Conference of Open Innovations Association FRUCT retrial model classical retrial policy general retrials stability regenerative approach lorden's inequality |
| title | Stability Analysis of a Multi-class Retrial Queue with General Retrials and Classical Retrial Policy |
| title_full | Stability Analysis of a Multi-class Retrial Queue with General Retrials and Classical Retrial Policy |
| title_fullStr | Stability Analysis of a Multi-class Retrial Queue with General Retrials and Classical Retrial Policy |
| title_full_unstemmed | Stability Analysis of a Multi-class Retrial Queue with General Retrials and Classical Retrial Policy |
| title_short | Stability Analysis of a Multi-class Retrial Queue with General Retrials and Classical Retrial Policy |
| title_sort | stability analysis of a multi class retrial queue with general retrials and classical retrial policy |
| topic | retrial model classical retrial policy general retrials stability regenerative approach lorden's inequality |
| url | https://www.fruct.org/publications/fruct28/files/Nek.pdf |
| work_keys_str_mv | AT ruslananekrasova stabilityanalysisofamulticlassretrialqueuewithgeneralretrialsandclassicalretrialpolicy |