Skip to main content
Top

2017 | OriginalPaper | Chapter

Queueing Systems with Demands of Random Space Requirement and Limited Queueing or Sojourn Time

Authors : Oleg Tikhonenko, Pawel Zajac

Published in: Computer Networks

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We investigate queueing systems with demands of random space requirements and limited buffer space, in which queueing or sojourn time are limited by some constant value. For such systems, in the case of exponentially distributed service time and Poisson entry, we obtain the steady-state demands number distribution and probability of demands losing.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Gaver, D.P.: Observing stochastic processes, and approximate transform inversion. Oper. Res. 14(3), 444–459 (1966)MathSciNetCrossRef Gaver, D.P.: Observing stochastic processes, and approximate transform inversion. Oper. Res. 14(3), 444–459 (1966)MathSciNetCrossRef
2.
go back to reference Gnedenko, B.V., Kovalenko, I.N.: Introduction to Queueing Theory. Birkhäuser, Boston (1989)CrossRefMATH Gnedenko, B.V., Kovalenko, I.N.: Introduction to Queueing Theory. Birkhäuser, Boston (1989)CrossRefMATH
3.
go back to reference Morozov, E., Nekrasova, R., Potakhina, L., Tikhonenko, O.: Asymptotic analysis of queueing systems with finite buffer space. In: Kwiecień, A., Gaj, P., Stera, P. (eds.) CN 2014. CCIS, vol. 431, pp. 223–232. Springer, Cham (2014). doi:10.1007/978-3-319-07941-7_23 CrossRef Morozov, E., Nekrasova, R., Potakhina, L., Tikhonenko, O.: Asymptotic analysis of queueing systems with finite buffer space. In: Kwiecień, A., Gaj, P., Stera, P. (eds.) CN 2014. CCIS, vol. 431, pp. 223–232. Springer, Cham (2014). doi:10.​1007/​978-3-319-07941-7_​23 CrossRef
4.
go back to reference Stehfest, H.: Algorithm 368: numeric inversion of Laplace transform. Commun. ACM 13(1), 47–49 (1970)CrossRef Stehfest, H.: Algorithm 368: numeric inversion of Laplace transform. Commun. ACM 13(1), 47–49 (1970)CrossRef
5.
go back to reference Tikhonenko, O.: Computer Systems Probability Analysis. Akademicka Oficyna Wydawnicza EXIT, Warsaw (2006) (In Polish) Tikhonenko, O.: Computer Systems Probability Analysis. Akademicka Oficyna Wydawnicza EXIT, Warsaw (2006) (In Polish)
6.
go back to reference Tikhonenko, O.: Determination of loss characteristics in queueing systems with demands of random space requirement. In: Dudin, A., Nazarov, A., Yakupov, R. (eds.) ITMM 2015. CCIS, vol. 564, pp. 209–215. Springer, Cham (2015). doi:10.1007/978-3-319-25861-4_18 CrossRef Tikhonenko, O.: Determination of loss characteristics in queueing systems with demands of random space requirement. In: Dudin, A., Nazarov, A., Yakupov, R. (eds.) ITMM 2015. CCIS, vol. 564, pp. 209–215. Springer, Cham (2015). doi:10.​1007/​978-3-319-25861-4_​18 CrossRef
7.
go back to reference Tikhonenko, O.: Districted capacity queueing systems: Determination of their characteristics. Autom. Remote Control. 58(6), Pt.1, 969–972 (1997) Tikhonenko, O.: Districted capacity queueing systems: Determination of their characteristics. Autom. Remote Control. 58(6), Pt.1, 969–972 (1997)
8.
go back to reference Tikhonenko, O.M.: Generalized Erlang problem for service systems with finite total capacity. Probl. Inf. Transm. 41(3), 243–253 (2005)MathSciNetCrossRefMATH Tikhonenko, O.M.: Generalized Erlang problem for service systems with finite total capacity. Probl. Inf. Transm. 41(3), 243–253 (2005)MathSciNetCrossRefMATH
9.
go back to reference Tikhonenko, O.M.: Queueing Models in Information Systems. Universitetskoe, Minsk (1990). (In Russian)MATH Tikhonenko, O.M.: Queueing Models in Information Systems. Universitetskoe, Minsk (1990). (In Russian)MATH
10.
go back to reference Tikhonenko, O.M.: Queueing systems of a random length demands with restrictions. Autom. Remote Control. 52(10), pt. 2, 1431–1437 (1991) Tikhonenko, O.M.: Queueing systems of a random length demands with restrictions. Autom. Remote Control. 52(10), pt. 2, 1431–1437 (1991)
11.
12.
Metadata
Title
Queueing Systems with Demands of Random Space Requirement and Limited Queueing or Sojourn Time
Authors
Oleg Tikhonenko
Pawel Zajac
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-59767-6_30

Premium Partner