Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers
Abstract We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kim, Bara [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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| Übergeordnetes Werk: |
Enthalten in: Queueing systems - Springer US, 1986, 94(2019), 1-2 vom: 11. Okt., Seite 129-146 |
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| Übergeordnetes Werk: |
volume:94 ; year:2019 ; number:1-2 ; day:11 ; month:10 ; pages:129-146 |
| Links: |
|---|
| DOI / URN: |
10.1007/s11134-019-09634-x |
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OLC2058617916 |
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| 520 | |a Abstract We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers’ class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach. | ||
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10.1007/s11134-019-09634-x doi (DE-627)OLC2058617916 (DE-He213)s11134-019-09634-x-p DE-627 ger DE-627 rakwb eng 004 VZ 11 ssgn Kim, Bara verfasserin aut Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers’ class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach. Retrial queue Stability Fluid limit Kim, Jeongsim aut Enthalten in Queueing systems Springer US, 1986 94(2019), 1-2 vom: 11. Okt., Seite 129-146 (DE-627)129219673 (DE-600)56281-6 (DE-576)034178309 0257-0130 nnns volume:94 year:2019 number:1-2 day:11 month:10 pages:129-146 https://doi.org/10.1007/s11134-019-09634-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 GBV_ILN_70 AR 94 2019 1-2 11 10 129-146 |
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10.1007/s11134-019-09634-x doi (DE-627)OLC2058617916 (DE-He213)s11134-019-09634-x-p DE-627 ger DE-627 rakwb eng 004 VZ 11 ssgn Kim, Bara verfasserin aut Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers’ class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach. Retrial queue Stability Fluid limit Kim, Jeongsim aut Enthalten in Queueing systems Springer US, 1986 94(2019), 1-2 vom: 11. Okt., Seite 129-146 (DE-627)129219673 (DE-600)56281-6 (DE-576)034178309 0257-0130 nnns volume:94 year:2019 number:1-2 day:11 month:10 pages:129-146 https://doi.org/10.1007/s11134-019-09634-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 GBV_ILN_70 AR 94 2019 1-2 11 10 129-146 |
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Abstract We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers’ class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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Abstract We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers’ class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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Abstract We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers’ class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2058617916</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230504015843.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2019 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11134-019-09634-x</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2058617916</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11134-019-09634-x-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">004</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kim, Bara</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, LLC, part of Springer Nature 2019</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers’ class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Retrial queue</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stability</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fluid limit</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kim, Jeongsim</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Queueing systems</subfield><subfield code="d">Springer US, 1986</subfield><subfield code="g">94(2019), 1-2 vom: 11. Okt., Seite 129-146</subfield><subfield code="w">(DE-627)129219673</subfield><subfield code="w">(DE-600)56281-6</subfield><subfield code="w">(DE-576)034178309</subfield><subfield code="x">0257-0130</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:94</subfield><subfield code="g">year:2019</subfield><subfield code="g">number:1-2</subfield><subfield code="g">day:11</subfield><subfield code="g">month:10</subfield><subfield code="g">pages:129-146</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11134-019-09634-x</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">94</subfield><subfield code="j">2019</subfield><subfield code="e">1-2</subfield><subfield code="b">11</subfield><subfield code="c">10</subfield><subfield code="h">129-146</subfield></datafield></record></collection>
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