A queueing system with two different service speeds

I.J.B.F. Adan, Erik A. van Doorn, J.A.C. Resing, Willem R.W. Scheinhardt

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Abstract

In this paper we consider an M/M/1 queueing system in which the server can serve at two different speeds. The speed of the server is regulated by the content of a credit buffer. The performance measures of interest are the sojourn time distribution of customers and the joint distribution of the content of the waiting room and the content of the credit buffer. This system is a simple model for a traffic regulation scheme (two-level traffic shaper) at the edge of an ATM network. Numerical results are presented which demonstrate the effect of the regulation scheme.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversiteit Twente
Number of pages22
Publication statusPublished - 1996

Publication series

NameMemorandum
PublisherUniversiteit Twente
No.1316

Fingerprint

Servers
Asynchronous transfer mode

Keywords

  • METIS-141325
  • IR-30684

Cite this

Adan, I. J. B. F., van Doorn, E. A., Resing, J. A. C., & Scheinhardt, W. R. W. (1996). A queueing system with two different service speeds. (Memorandum; No. 1316). Enschede: Universiteit Twente.
Adan, I.J.B.F. ; van Doorn, Erik A. ; Resing, J.A.C. ; Scheinhardt, Willem R.W. / A queueing system with two different service speeds. Enschede : Universiteit Twente, 1996. 22 p. (Memorandum; 1316).
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Adan, IJBF, van Doorn, EA, Resing, JAC & Scheinhardt, WRW 1996, A queueing system with two different service speeds. Memorandum, no. 1316, Universiteit Twente, Enschede.

A queueing system with two different service speeds. / Adan, I.J.B.F.; van Doorn, Erik A.; Resing, J.A.C.; Scheinhardt, Willem R.W.

Enschede : Universiteit Twente, 1996. 22 p. (Memorandum; No. 1316).

Research output: Book/ReportReportProfessional

TY - BOOK

T1 - A queueing system with two different service speeds

AU - Adan, I.J.B.F.

AU - van Doorn, Erik A.

AU - Resing, J.A.C.

AU - Scheinhardt, Willem R.W.

PY - 1996

Y1 - 1996

N2 - In this paper we consider an M/M/1 queueing system in which the server can serve at two different speeds. The speed of the server is regulated by the content of a credit buffer. The performance measures of interest are the sojourn time distribution of customers and the joint distribution of the content of the waiting room and the content of the credit buffer. This system is a simple model for a traffic regulation scheme (two-level traffic shaper) at the edge of an ATM network. Numerical results are presented which demonstrate the effect of the regulation scheme.

AB - In this paper we consider an M/M/1 queueing system in which the server can serve at two different speeds. The speed of the server is regulated by the content of a credit buffer. The performance measures of interest are the sojourn time distribution of customers and the joint distribution of the content of the waiting room and the content of the credit buffer. This system is a simple model for a traffic regulation scheme (two-level traffic shaper) at the edge of an ATM network. Numerical results are presented which demonstrate the effect of the regulation scheme.

KW - METIS-141325

KW - IR-30684

M3 - Report

T3 - Memorandum

BT - A queueing system with two different service speeds

PB - Universiteit Twente

CY - Enschede

ER -

Adan IJBF, van Doorn EA, Resing JAC, Scheinhardt WRW. A queueing system with two different service speeds. Enschede: Universiteit Twente, 1996. 22 p. (Memorandum; 1316).