M/M/1 Vacation Queue with Multiple Thresholds: A Fluid Analysis

Mehmet Akif Yazici; Tuan Phung-Duc

doi:10.1007/978-3-030-59854-9_12

M/M/1 Vacation Queue with Multiple Thresholds: A Fluid Analysis

Mehmet Akif Yazici^*
, Tuan Phung-Duc

^*Bu çalışma için yazışmadan sorumlu yazar

Bilişim Enstitüsü

University of Tsukuba

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

1 Atıf (Scopus)

Özet

We propose an analytical method for an M/M/1 vacation queue with workload dependent service rates. We obtain the distribution of the workload in the system, and consider a power-saving and performance trade-off problem. Numerical experiments reveal that square root service rate function has lower cost than that of linear and quadratic service functions under certain scenarios.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	Quantitative Evaluation of Systems - 17th International Conference, QEST 2020, Proceedings
Editörler	Marco Gribaudo, David N. Jansen, Anne Remke
Yayınlayan	Springer Science and Business Media Deutschland GmbH
Sayfalar	148-152
Sayfa sayısı	5
ISBN (Basılı)	9783030598532
DOI'lar	https://doi.org/10.1007/978-3-030-59854-9_12
Yayın durumu	Yayınlandı - 2020
Etkinlik	17th International Conference on Quantitative Evaluation Systems, QEST 2020 - Vienna, Austria Süre: 31 Ağu 2020 → 3 Eyl 2020

Yayın serisi

Adı	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Hacim	12289 LNCS
ISSN (Basılı)	0302-9743
ISSN (Elektronik)	1611-3349

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	17th International Conference on Quantitative Evaluation Systems, QEST 2020
Ülke/Bölge	Austria
Şehir	Vienna
Periyot	31/08/20 → 3/09/20

Bibliyografik not

Publisher Copyright:
© 2020, Springer Nature Switzerland AG.

Belgeye Erişim

10.1007/978-3-030-59854-9_12

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Yazici, M. A., & Phung-Duc, T. (2020). M/M/1 Vacation Queue with Multiple Thresholds: A Fluid Analysis. In M. Gribaudo, D. N. Jansen, & A. Remke (Eds.), Quantitative Evaluation of Systems - 17th International Conference, QEST 2020, Proceedings (pp. 148-152). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Hac. 12289 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-59854-9_12

Yazici, Mehmet Akif ; Phung-Duc, Tuan. / M/M/1 Vacation Queue with Multiple Thresholds : A Fluid Analysis. Quantitative Evaluation of Systems - 17th International Conference, QEST 2020, Proceedings. editör / Marco Gribaudo ; David N. Jansen ; Anne Remke. Springer Science and Business Media Deutschland GmbH, 2020. pp. 148-152 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{d2e902e9707e4a5b95aae7aa0ab7adfe,

title = "M/M/1 Vacation Queue with Multiple Thresholds: A Fluid Analysis",

abstract = "We propose an analytical method for an M/M/1 vacation queue with workload dependent service rates. We obtain the distribution of the workload in the system, and consider a power-saving and performance trade-off problem. Numerical experiments reveal that square root service rate function has lower cost than that of linear and quadratic service functions under certain scenarios.",

keywords = "Data center, Fluid model, Power-saving, Vacation queue, Variable service rate",

author = "Yazici, \{Mehmet Akif\} and Tuan Phung-Duc",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.; 17th International Conference on Quantitative Evaluation Systems, QEST 2020 ; Conference date: 31-08-2020 Through 03-09-2020",

year = "2020",

doi = "10.1007/978-3-030-59854-9\_12",

language = "English",

isbn = "9783030598532",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Science and Business Media Deutschland GmbH",

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editor = "Marco Gribaudo and Jansen, \{David N.\} and Anne Remke",

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Yazici, MA & Phung-Duc, T 2020, M/M/1 Vacation Queue with Multiple Thresholds: A Fluid Analysis. in M Gribaudo, DN Jansen & A Remke (eds), Quantitative Evaluation of Systems - 17th International Conference, QEST 2020, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), hac. 12289 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 148-152, 17th International Conference on Quantitative Evaluation Systems, QEST 2020, Vienna, Austria, 31/08/20. https://doi.org/10.1007/978-3-030-59854-9_12

M/M/1 Vacation Queue with Multiple Thresholds: A Fluid Analysis. / Yazici, Mehmet Akif; Phung-Duc, Tuan.
Quantitative Evaluation of Systems - 17th International Conference, QEST 2020, Proceedings. ed. / Marco Gribaudo; David N. Jansen; Anne Remke. Springer Science and Business Media Deutschland GmbH, 2020. p. 148-152 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Hac. 12289 LNCS).

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

TY - GEN

T1 - M/M/1 Vacation Queue with Multiple Thresholds

T2 - 17th International Conference on Quantitative Evaluation Systems, QEST 2020

AU - Yazici, Mehmet Akif

AU - Phung-Duc, Tuan

PY - 2020

Y1 - 2020

N2 - We propose an analytical method for an M/M/1 vacation queue with workload dependent service rates. We obtain the distribution of the workload in the system, and consider a power-saving and performance trade-off problem. Numerical experiments reveal that square root service rate function has lower cost than that of linear and quadratic service functions under certain scenarios.

AB - We propose an analytical method for an M/M/1 vacation queue with workload dependent service rates. We obtain the distribution of the workload in the system, and consider a power-saving and performance trade-off problem. Numerical experiments reveal that square root service rate function has lower cost than that of linear and quadratic service functions under certain scenarios.

KW - Data center

KW - Fluid model

KW - Power-saving

KW - Vacation queue

KW - Variable service rate

UR - https://www.scopus.com/pages/publications/85097079175

U2 - 10.1007/978-3-030-59854-9_12

DO - 10.1007/978-3-030-59854-9_12

M3 - Conference contribution

AN - SCOPUS:85097079175

SN - 9783030598532

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 148

EP - 152

BT - Quantitative Evaluation of Systems - 17th International Conference, QEST 2020, Proceedings

A2 - Gribaudo, Marco

A2 - Jansen, David N.

A2 - Remke, Anne

PB - Springer Science and Business Media Deutschland GmbH

Y2 - 31 August 2020 through 3 September 2020

ER -

Yazici MA, Phung-Duc T. M/M/1 Vacation Queue with Multiple Thresholds: A Fluid Analysis. In Gribaudo M, Jansen DN, Remke A, editörler, Quantitative Evaluation of Systems - 17th International Conference, QEST 2020, Proceedings. Springer Science and Business Media Deutschland GmbH. 2020. p. 148-152. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-59854-9_12

M/M/1 Vacation Queue with Multiple Thresholds: A Fluid Analysis

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Yayın serisi

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Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

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