Stabilizing the virtual response time in single-server processor sharing queues with slowly time-varying arrival rates
Abstract Motivated by the work of Whitt (Queueing Syst 81(4):341–378, 2015) and Ma and Whitt (in: Winter simulation conference, pp 2598–2609, 2015), that studied performance stabilization in a $$GI_t/GI_t/1$$ queue, this research study investigates the stabilization of the mean virtual response time...
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| Autor*in: |
Cho, Yongkyu [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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| Übergeordnetes Werk: |
Enthalten in: Annals of operations research - Springer US, 1984, 293(2020), 1 vom: 13. Jan., Seite 27-55 |
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| Übergeordnetes Werk: |
volume:293 ; year:2020 ; number:1 ; day:13 ; month:01 ; pages:27-55 |
| Links: |
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| DOI / URN: |
10.1007/s10479-019-03511-9 |
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OLC2119318603 |
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| 520 | |a Abstract Motivated by the work of Whitt (Queueing Syst 81(4):341–378, 2015) and Ma and Whitt (in: Winter simulation conference, pp 2598–2609, 2015), that studied performance stabilization in a $$GI_t/GI_t/1$$ queue, this research study investigates the stabilization of the mean virtual response time in a single-server processor sharing (PS) queueing system with a time-varying arrival rate and a service rate control (a $$GI_t/GI_t/1/PS$$ queue). We propose and compare a modified square-root (SR) control and a difference-matching (DM) control to stabilize the mean virtual response time of a $$GI_t/GI_t/1/PS$$ queue. Extensive simulation studies with various settings of arrival processes and service times show that the DM control outperforms the SR control for heavy-traffic conditions, and that the SR control performs better for light-traffic conditions. | ||
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Abstract Motivated by the work of Whitt (Queueing Syst 81(4):341–378, 2015) and Ma and Whitt (in: Winter simulation conference, pp 2598–2609, 2015), that studied performance stabilization in a $$GI_t/GI_t/1$$ queue, this research study investigates the stabilization of the mean virtual response time in a single-server processor sharing (PS) queueing system with a time-varying arrival rate and a service rate control (a $$GI_t/GI_t/1/PS$$ queue). We propose and compare a modified square-root (SR) control and a difference-matching (DM) control to stabilize the mean virtual response time of a $$GI_t/GI_t/1/PS$$ queue. Extensive simulation studies with various settings of arrival processes and service times show that the DM control outperforms the SR control for heavy-traffic conditions, and that the SR control performs better for light-traffic conditions. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
| abstractGer |
Abstract Motivated by the work of Whitt (Queueing Syst 81(4):341–378, 2015) and Ma and Whitt (in: Winter simulation conference, pp 2598–2609, 2015), that studied performance stabilization in a $$GI_t/GI_t/1$$ queue, this research study investigates the stabilization of the mean virtual response time in a single-server processor sharing (PS) queueing system with a time-varying arrival rate and a service rate control (a $$GI_t/GI_t/1/PS$$ queue). We propose and compare a modified square-root (SR) control and a difference-matching (DM) control to stabilize the mean virtual response time of a $$GI_t/GI_t/1/PS$$ queue. Extensive simulation studies with various settings of arrival processes and service times show that the DM control outperforms the SR control for heavy-traffic conditions, and that the SR control performs better for light-traffic conditions. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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Abstract Motivated by the work of Whitt (Queueing Syst 81(4):341–378, 2015) and Ma and Whitt (in: Winter simulation conference, pp 2598–2609, 2015), that studied performance stabilization in a $$GI_t/GI_t/1$$ queue, this research study investigates the stabilization of the mean virtual response time in a single-server processor sharing (PS) queueing system with a time-varying arrival rate and a service rate control (a $$GI_t/GI_t/1/PS$$ queue). We propose and compare a modified square-root (SR) control and a difference-matching (DM) control to stabilize the mean virtual response time of a $$GI_t/GI_t/1/PS$$ queue. Extensive simulation studies with various settings of arrival processes and service times show that the DM control outperforms the SR control for heavy-traffic conditions, and that the SR control performs better for light-traffic conditions. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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Stabilizing the virtual response time in single-server processor sharing queues with slowly time-varying arrival rates |
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