A single server queue with workload-dependent service speed and vacations

Yutaka Sakuma; Onno Boxma; Tuan Phung-Duc

doi:10.1007/978-3-030-27181-7_8

A single server queue with workload-dependent service speed and vacations

Yutaka Sakuma
, Onno Boxma
, Tuan Phung-Duc

Stochastic Operations Research

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

6 Citaten (Scopus)

1 Downloads (Pure)

Samenvatting

In modern data centers, the trade-off between processing speed and energy consumption is an important issue. Motivated by this, we consider a queueing system in which the service speed is a function of the workload, and in which the server switches off when the system becomes empty, only to be activated again when the workload reaches a certain threshold. For this system we obtain the steady-state workload distribution. We use this result to choose the activation threshold such that a certain cost function, involving holding costs and activation costs, is minimized.

Originele taal-2	Engels
Titel	Queueing Theory and Network Applications - 14th International Conference, QTNA 2019, Proceedings
Redacteuren	Tuan Phung-Duc, Shoji Kasahara, Sabine Wittevrongel
Uitgeverij	Springer
Pagina's	112-127
Aantal pagina's	16
ISBN van geprinte versie	9783030271800
DOI's	https://doi.org/10.1007/978-3-030-27181-7_8
Status	Gepubliceerd - 1 jan 2019
Evenement	14th International Conference on Queueing Theory and Network Applications, QTNA 2019 - Ghent, België Duur: 27 aug 2019 → 29 aug 2019

Publicatie series

Naam	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	11688 LNCS
ISSN van geprinte versie	0302-9743
ISSN van elektronische versie	1611-3349

Congres

Congres	14th International Conference on Queueing Theory and Network Applications, QTNA 2019
Land/Regio	België
Stad	Ghent
Periode	27/08/19 → 29/08/19

Duurzame ontwikkelingsdoelstellingen van de VN

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SDG 7 – Betaalbare en schone energie

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10.1007/978-3-030-27181-7_8

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Sakuma, Y., Boxma, O., & Phung-Duc, T. (2019). A single server queue with workload-dependent service speed and vacations. In T. Phung-Duc, S. Kasahara, & S. Wittevrongel (editors), Queueing Theory and Network Applications - 14th International Conference, QTNA 2019, Proceedings (blz. 112-127). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11688 LNCS). Springer. https://doi.org/10.1007/978-3-030-27181-7_8

Sakuma, Yutaka ; Boxma, Onno ; Phung-Duc, Tuan. / A single server queue with workload-dependent service speed and vacations. Queueing Theory and Network Applications - 14th International Conference, QTNA 2019, Proceedings. redacteur / Tuan Phung-Duc ; Shoji Kasahara ; Sabine Wittevrongel. Springer, 2019. blz. 112-127 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "In modern data centers, the trade-off between processing speed and energy consumption is an important issue. Motivated by this, we consider a queueing system in which the service speed is a function of the workload, and in which the server switches off when the system becomes empty, only to be activated again when the workload reaches a certain threshold. For this system we obtain the steady-state workload distribution. We use this result to choose the activation threshold such that a certain cost function, involving holding costs and activation costs, is minimized.",

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Sakuma, Y, Boxma, O & Phung-Duc, T 2019, A single server queue with workload-dependent service speed and vacations. in T Phung-Duc, S Kasahara & S Wittevrongel (reds.), Queueing Theory and Network Applications - 14th International Conference, QTNA 2019, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11688 LNCS, Springer, blz. 112-127, 14th International Conference on Queueing Theory and Network Applications, QTNA 2019, Ghent, België, 27/08/19. https://doi.org/10.1007/978-3-030-27181-7_8

A single server queue with workload-dependent service speed and vacations. / Sakuma, Yutaka; Boxma, Onno; Phung-Duc, Tuan.
Queueing Theory and Network Applications - 14th International Conference, QTNA 2019, Proceedings. reds. / Tuan Phung-Duc; Shoji Kasahara; Sabine Wittevrongel. Springer, 2019. blz. 112-127 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11688 LNCS).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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Sakuma Y, Boxma O, Phung-Duc T. A single server queue with workload-dependent service speed and vacations. In Phung-Duc T, Kasahara S, Wittevrongel S, redacteurs, Queueing Theory and Network Applications - 14th International Conference, QTNA 2019, Proceedings. Springer. 2019. blz. 112-127. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-27181-7_8

A single server queue with workload-dependent service speed and vacations

Samenvatting

Publicatie series

Congres

Duurzame ontwikkelingsdoelstellingen van de VN

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