A queueing system with two different service speeds

I.J.B.F. Adan; E.A. van Doorn; J.A.C. Resing; W.R.W. Scheinhardt

A queueing system with two different service speeds

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

Stochastic Operations Research

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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 language	English
Place of Publication	Enschede
Publisher	University of Twente
Number of pages	22
Publication status	Published - 1996

Publication series

Name	Memorandum
Publisher	Universiteit Twente
No.	1316

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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.",

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

AU - van Doorn, E.A.

AU - Resing, J.A.C.

AU - Scheinhardt, W.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.

M3 - Report

T3 - Memorandum

BT - A queueing system with two different service speeds

PB - University of Twente

CY - Enschede

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A queueing system with two different service speeds

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