Probabilistic Retry and Threshold Multirate Loss Models for Impatient Calls
In this paper, a link of fixed capacity is considered that services calls from different service-classes. Calls arrive in the link according to a Poisson process, have an initial (peak) bandwidth requirement while their service time is exponentially distributed. We model this system as a multirate l...
Ausführliche Beschreibung
Autor*in: |
Ioannis D. Moscholios [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2021 |
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In: Telecom - MDPI AG, 2020, 2(2021), 1, Seite 28-41 |
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Übergeordnetes Werk: |
volume:2 ; year:2021 ; number:1 ; pages:28-41 |
Links: |
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DOI / URN: |
10.3390/telecom2010003 |
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Katalog-ID: |
DOAJ058876294 |
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10.3390/telecom2010003 doi (DE-627)DOAJ058876294 (DE-599)DOAJc0b5fc9839414e20b3b8c166efcc6d1e DE-627 ger DE-627 rakwb eng TK7885-7895 QA75.5-76.95 Ioannis D. Moscholios verfasserin aut Probabilistic Retry and Threshold Multirate Loss Models for Impatient Calls 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, a link of fixed capacity is considered that services calls from different service-classes. Calls arrive in the link according to a Poisson process, have an initial (peak) bandwidth requirement while their service time is exponentially distributed. We model this system as a multirate loss system and analyze two different multirate loss models. In the first model, named probabilistic retry loss model, if there is no available link bandwidth, a new call is blocked but retries with a lower bandwidth requirement and increased service time. To allow for the fact that a blocked call may be impatient, we assume that it retries with a probability. In the second model, named probabilistic threshold loss model, a call may reduce its bandwidth requirement (before blocking occurs) based on the occupied link bandwidth. To determine call blocking probabilities in both multirate loss models, we show that approximate but recursive formulas do exist that provide quite satisfactory results compared to simulation. call blocking retry threshold loss Poisson recursive Computer engineering. Computer hardware Electronic computers. Computer science In Telecom MDPI AG, 2020 2(2021), 1, Seite 28-41 (DE-627)1696034000 26734001 nnns volume:2 year:2021 number:1 pages:28-41 https://doi.org/10.3390/telecom2010003 kostenfrei https://doaj.org/article/c0b5fc9839414e20b3b8c166efcc6d1e kostenfrei https://www.mdpi.com/2673-4001/2/1/3 kostenfrei https://doaj.org/toc/2673-4001 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 2021 1 28-41 |
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10.3390/telecom2010003 doi (DE-627)DOAJ058876294 (DE-599)DOAJc0b5fc9839414e20b3b8c166efcc6d1e DE-627 ger DE-627 rakwb eng TK7885-7895 QA75.5-76.95 Ioannis D. Moscholios verfasserin aut Probabilistic Retry and Threshold Multirate Loss Models for Impatient Calls 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, a link of fixed capacity is considered that services calls from different service-classes. Calls arrive in the link according to a Poisson process, have an initial (peak) bandwidth requirement while their service time is exponentially distributed. We model this system as a multirate loss system and analyze two different multirate loss models. In the first model, named probabilistic retry loss model, if there is no available link bandwidth, a new call is blocked but retries with a lower bandwidth requirement and increased service time. To allow for the fact that a blocked call may be impatient, we assume that it retries with a probability. In the second model, named probabilistic threshold loss model, a call may reduce its bandwidth requirement (before blocking occurs) based on the occupied link bandwidth. To determine call blocking probabilities in both multirate loss models, we show that approximate but recursive formulas do exist that provide quite satisfactory results compared to simulation. call blocking retry threshold loss Poisson recursive Computer engineering. Computer hardware Electronic computers. Computer science In Telecom MDPI AG, 2020 2(2021), 1, Seite 28-41 (DE-627)1696034000 26734001 nnns volume:2 year:2021 number:1 pages:28-41 https://doi.org/10.3390/telecom2010003 kostenfrei https://doaj.org/article/c0b5fc9839414e20b3b8c166efcc6d1e kostenfrei https://www.mdpi.com/2673-4001/2/1/3 kostenfrei https://doaj.org/toc/2673-4001 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 2021 1 28-41 |
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10.3390/telecom2010003 doi (DE-627)DOAJ058876294 (DE-599)DOAJc0b5fc9839414e20b3b8c166efcc6d1e DE-627 ger DE-627 rakwb eng TK7885-7895 QA75.5-76.95 Ioannis D. Moscholios verfasserin aut Probabilistic Retry and Threshold Multirate Loss Models for Impatient Calls 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, a link of fixed capacity is considered that services calls from different service-classes. Calls arrive in the link according to a Poisson process, have an initial (peak) bandwidth requirement while their service time is exponentially distributed. We model this system as a multirate loss system and analyze two different multirate loss models. In the first model, named probabilistic retry loss model, if there is no available link bandwidth, a new call is blocked but retries with a lower bandwidth requirement and increased service time. To allow for the fact that a blocked call may be impatient, we assume that it retries with a probability. In the second model, named probabilistic threshold loss model, a call may reduce its bandwidth requirement (before blocking occurs) based on the occupied link bandwidth. To determine call blocking probabilities in both multirate loss models, we show that approximate but recursive formulas do exist that provide quite satisfactory results compared to simulation. call blocking retry threshold loss Poisson recursive Computer engineering. Computer hardware Electronic computers. Computer science In Telecom MDPI AG, 2020 2(2021), 1, Seite 28-41 (DE-627)1696034000 26734001 nnns volume:2 year:2021 number:1 pages:28-41 https://doi.org/10.3390/telecom2010003 kostenfrei https://doaj.org/article/c0b5fc9839414e20b3b8c166efcc6d1e kostenfrei https://www.mdpi.com/2673-4001/2/1/3 kostenfrei https://doaj.org/toc/2673-4001 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 2021 1 28-41 |
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10.3390/telecom2010003 doi (DE-627)DOAJ058876294 (DE-599)DOAJc0b5fc9839414e20b3b8c166efcc6d1e DE-627 ger DE-627 rakwb eng TK7885-7895 QA75.5-76.95 Ioannis D. Moscholios verfasserin aut Probabilistic Retry and Threshold Multirate Loss Models for Impatient Calls 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, a link of fixed capacity is considered that services calls from different service-classes. Calls arrive in the link according to a Poisson process, have an initial (peak) bandwidth requirement while their service time is exponentially distributed. We model this system as a multirate loss system and analyze two different multirate loss models. In the first model, named probabilistic retry loss model, if there is no available link bandwidth, a new call is blocked but retries with a lower bandwidth requirement and increased service time. To allow for the fact that a blocked call may be impatient, we assume that it retries with a probability. In the second model, named probabilistic threshold loss model, a call may reduce its bandwidth requirement (before blocking occurs) based on the occupied link bandwidth. To determine call blocking probabilities in both multirate loss models, we show that approximate but recursive formulas do exist that provide quite satisfactory results compared to simulation. call blocking retry threshold loss Poisson recursive Computer engineering. Computer hardware Electronic computers. Computer science In Telecom MDPI AG, 2020 2(2021), 1, Seite 28-41 (DE-627)1696034000 26734001 nnns volume:2 year:2021 number:1 pages:28-41 https://doi.org/10.3390/telecom2010003 kostenfrei https://doaj.org/article/c0b5fc9839414e20b3b8c166efcc6d1e kostenfrei https://www.mdpi.com/2673-4001/2/1/3 kostenfrei https://doaj.org/toc/2673-4001 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 2021 1 28-41 |
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10.3390/telecom2010003 doi (DE-627)DOAJ058876294 (DE-599)DOAJc0b5fc9839414e20b3b8c166efcc6d1e DE-627 ger DE-627 rakwb eng TK7885-7895 QA75.5-76.95 Ioannis D. Moscholios verfasserin aut Probabilistic Retry and Threshold Multirate Loss Models for Impatient Calls 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, a link of fixed capacity is considered that services calls from different service-classes. Calls arrive in the link according to a Poisson process, have an initial (peak) bandwidth requirement while their service time is exponentially distributed. We model this system as a multirate loss system and analyze two different multirate loss models. In the first model, named probabilistic retry loss model, if there is no available link bandwidth, a new call is blocked but retries with a lower bandwidth requirement and increased service time. To allow for the fact that a blocked call may be impatient, we assume that it retries with a probability. In the second model, named probabilistic threshold loss model, a call may reduce its bandwidth requirement (before blocking occurs) based on the occupied link bandwidth. To determine call blocking probabilities in both multirate loss models, we show that approximate but recursive formulas do exist that provide quite satisfactory results compared to simulation. call blocking retry threshold loss Poisson recursive Computer engineering. Computer hardware Electronic computers. Computer science In Telecom MDPI AG, 2020 2(2021), 1, Seite 28-41 (DE-627)1696034000 26734001 nnns volume:2 year:2021 number:1 pages:28-41 https://doi.org/10.3390/telecom2010003 kostenfrei https://doaj.org/article/c0b5fc9839414e20b3b8c166efcc6d1e kostenfrei https://www.mdpi.com/2673-4001/2/1/3 kostenfrei https://doaj.org/toc/2673-4001 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 2021 1 28-41 |
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Probabilistic Retry and Threshold Multirate Loss Models for Impatient Calls |
abstract |
In this paper, a link of fixed capacity is considered that services calls from different service-classes. Calls arrive in the link according to a Poisson process, have an initial (peak) bandwidth requirement while their service time is exponentially distributed. We model this system as a multirate loss system and analyze two different multirate loss models. In the first model, named probabilistic retry loss model, if there is no available link bandwidth, a new call is blocked but retries with a lower bandwidth requirement and increased service time. To allow for the fact that a blocked call may be impatient, we assume that it retries with a probability. In the second model, named probabilistic threshold loss model, a call may reduce its bandwidth requirement (before blocking occurs) based on the occupied link bandwidth. To determine call blocking probabilities in both multirate loss models, we show that approximate but recursive formulas do exist that provide quite satisfactory results compared to simulation. |
abstractGer |
In this paper, a link of fixed capacity is considered that services calls from different service-classes. Calls arrive in the link according to a Poisson process, have an initial (peak) bandwidth requirement while their service time is exponentially distributed. We model this system as a multirate loss system and analyze two different multirate loss models. In the first model, named probabilistic retry loss model, if there is no available link bandwidth, a new call is blocked but retries with a lower bandwidth requirement and increased service time. To allow for the fact that a blocked call may be impatient, we assume that it retries with a probability. In the second model, named probabilistic threshold loss model, a call may reduce its bandwidth requirement (before blocking occurs) based on the occupied link bandwidth. To determine call blocking probabilities in both multirate loss models, we show that approximate but recursive formulas do exist that provide quite satisfactory results compared to simulation. |
abstract_unstemmed |
In this paper, a link of fixed capacity is considered that services calls from different service-classes. Calls arrive in the link according to a Poisson process, have an initial (peak) bandwidth requirement while their service time is exponentially distributed. We model this system as a multirate loss system and analyze two different multirate loss models. In the first model, named probabilistic retry loss model, if there is no available link bandwidth, a new call is blocked but retries with a lower bandwidth requirement and increased service time. To allow for the fact that a blocked call may be impatient, we assume that it retries with a probability. In the second model, named probabilistic threshold loss model, a call may reduce its bandwidth requirement (before blocking occurs) based on the occupied link bandwidth. To determine call blocking probabilities in both multirate loss models, we show that approximate but recursive formulas do exist that provide quite satisfactory results compared to simulation. |
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score |
7.402815 |