Skip to main content
Erschienen in: Queueing Systems 3-4/2022

29.03.2022

The multiserver job queueing model

verfasst von: Mor Harchol-Balter

Erschienen in: Queueing Systems | Ausgabe 3-4/2022

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Excerpt

A great deal of queueing theory is devoted to studying multi-server models, such as the M/G/n. A key feature of such models is that each job runs on a single server. Unfortunately this one-server-per-job model is not a good representation of today’s data centers. Almost all of today’s data center jobs each occupies multiple servers simultaneously [12]. We refer to such jobs that run on multiple servers as multiserver jobs. A recent trace from Google’s Borg scheduler [12] shows that the number of servers utilized by a single job can vary by five orders of magnitude across jobs. Understanding the performance of systems with multiserver jobs is therefore of paramount importance. …

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Arthurs, E., Kaufman, J.: Sizing a message store subject to blocking criteria. In: IFIP Performance Conference, pp. 547–564 (1979) Arthurs, E., Kaufman, J.: Sizing a message store subject to blocking criteria. In: IFIP Performance Conference, pp. 547–564 (1979)
2.
Zurück zum Zitat Baccelli, F., Courcoubetis, C.A., Reiman, M.I.: Construction of the stationary regime of queues with locking. Stoch. Process. Appl. 26, 257–265 (1987)CrossRef Baccelli, F., Courcoubetis, C.A., Reiman, M.I.: Construction of the stationary regime of queues with locking. Stoch. Process. Appl. 26, 257–265 (1987)CrossRef
3.
Zurück zum Zitat Baccelli, F., Foss, S.: On the saturation rule for the stability of queues. J. Appl. Prob. 32(2), 494–507 (1995)CrossRef Baccelli, F., Foss, S.: On the saturation rule for the stability of queues. J. Appl. Prob. 32(2), 494–507 (1995)CrossRef
4.
Zurück zum Zitat Bean, N.G., Gibbens, R.J., Zachary, S.: Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks. Adv. Appl. Prob. 27(1), 273–292 (1995)CrossRef Bean, N.G., Gibbens, R.J., Zachary, S.: Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks. Adv. Appl. Prob. 27(1), 273–292 (1995)CrossRef
5.
Zurück zum Zitat Brill, P.H., Green, L.: Queues in which customers receive simultaneous service from a random number of servers: a system point approach. Manag. Sci. 30(1), 51–68 (1984)CrossRef Brill, P.H., Green, L.: Queues in which customers receive simultaneous service from a random number of servers: a system point approach. Manag. Sci. 30(1), 51–68 (1984)CrossRef
6.
Zurück zum Zitat Filippopoulos, D., Karatza, H.: An M/M/2 parallel system model with pure space sharing among rigid jobs. Math. Comput. Modell. 45(5), 491–530 (2007)CrossRef Filippopoulos, D., Karatza, H.: An M/M/2 parallel system model with pure space sharing among rigid jobs. Math. Comput. Modell. 45(5), 491–530 (2007)CrossRef
7.
Zurück zum Zitat Grosof, I., Harchol-Balter, M., Scheller-Wolf, A.: Stability for two-class multiserver-job systems. arXiv:2010.00631, October (2020) Grosof, I., Harchol-Balter, M., Scheller-Wolf, A.: Stability for two-class multiserver-job systems. arXiv:​2010.​00631, October (2020)
8.
Zurück zum Zitat Grosof, I., Harchol-Balter, M., Scheller-Wolf, A.:The finite-skip method for multiserver analysis. arXiv:2109.12663, September (2021) Grosof, I., Harchol-Balter, M., Scheller-Wolf, A.:The finite-skip method for multiserver analysis. arXiv:​2109.​12663, September (2021)
10.
Zurück zum Zitat Hunt, P.J., Kurtz, T.G.: Large loss networks. Stoch. Process. Appl. 53(2), 363–378 (1994)CrossRef Hunt, P.J., Kurtz, T.G.: Large loss networks. Stoch. Process. Appl. 53(2), 363–378 (1994)CrossRef
11.
Zurück zum Zitat Rumyantsev, A., Morozov, E.: Stability criterion of a multiserver model with simultaneous service. Ann. Oper. Res. 252(1), 29–39 (2017)CrossRef Rumyantsev, A., Morozov, E.: Stability criterion of a multiserver model with simultaneous service. Ann. Oper. Res. 252(1), 29–39 (2017)CrossRef
12.
Zurück zum Zitat Tirmazi, M., Barker, A., Deng, N., Haque, M. E., Qin, Z. G., Hand, S., Harchol-Balter, M., Wilkes, J.: Borg: The next generation. In: Proceedings of the Fifteenth European Conference on Computer Systems (EuroSys ’20), pp. 1–14, Greece, April (2020) Tirmazi, M., Barker, A., Deng, N., Haque, M. E., Qin, Z. G., Hand, S., Harchol-Balter, M., Wilkes, J.: Borg: The next generation. In: Proceedings of the Fifteenth European Conference on Computer Systems (EuroSys ’20), pp. 1–14, Greece, April (2020)
13.
Zurück zum Zitat Van Dijk, N.M.: Blocking of finite source inputs which require simultaneous servers with general think and holding times. Oper. Res. Lett. 8(1), 45–52 (1989)CrossRef Van Dijk, N.M.: Blocking of finite source inputs which require simultaneous servers with general think and holding times. Oper. Res. Lett. 8(1), 45–52 (1989)CrossRef
14.
Zurück zum Zitat Wang, W., Xie, Q., Harchol-Balter, M.: Zero queueing for multi-server jobs. Proc. ACM Measur. Anal. Comput. Syst. (POMACS/SIGMETRICS) 5(1), 1–25 (2021). (Article 7)CrossRef Wang, W., Xie, Q., Harchol-Balter, M.: Zero queueing for multi-server jobs. Proc. ACM Measur. Anal. Comput. Syst. (POMACS/SIGMETRICS) 5(1), 1–25 (2021). (Article 7)CrossRef
15.
Zurück zum Zitat Whitt, W.: Blocking when service is required from several facilities simultaneously. AT&T Bell Labor. Tech. J. 64, 1807–1856 (1985)CrossRef Whitt, W.: Blocking when service is required from several facilities simultaneously. AT&T Bell Labor. Tech. J. 64, 1807–1856 (1985)CrossRef
Metadaten
Titel
The multiserver job queueing model
verfasst von
Mor Harchol-Balter
Publikationsdatum
29.03.2022
Verlag
Springer US
Erschienen in
Queueing Systems / Ausgabe 3-4/2022
Print ISSN: 0257-0130
Elektronische ISSN: 1572-9443
DOI
https://doi.org/10.1007/s11134-022-09762-x

Weitere Artikel der Ausgabe 3-4/2022

Queueing Systems 3-4/2022 Zur Ausgabe

Premium Partner