Approximating the heterogeneous fluid queue with a birth-death fluid queue

Author

Blaabjerg, Soren ; Andersson, Hakan ; Andersson, Hakan

Author_Institution

Ellemntel Telecom. Syst. Labs., Lund, Sweden

Volume

43

Issue

5

fYear

1995

fDate

5/1/1995 12:00:00 AM

Firstpage

1884

Lastpage

1887

Abstract

Recent research has shown that fluid-flow queueing models accurately determine the burst level component of the ATM multiplexer process, and fluid models therefore constitute an efficient tool for the investigation of admission control in ATM networks. This article first gives a review of Markov-driven fluid queues with special attention given to the heterogeneous on/off model. Then an approximation procedure in which the original heterogeneous arrival process is replaced by a homogeneous birth-death arrival process is presented. The substitution is based on matching statistical parameters. Finally, the approach is evaluated by numerical examples

Keywords

Markov processes; approximation theory; asynchronous transfer mode; multiplexing; multiplexing equipment; queueing theory; statistical analysis; telecommunication congestion control; ATM multiplexer; B-ISDN; Markov-driven fluid queues; admission control; approximation procedure; birth-death fluid queue; burst level component; congestion control; fluid-flow queueing models; heterogeneous arrival process; heterogeneous fluid queue; heterogeneous on/off model; homogeneous birth-death arrival process; statistical parameters matching; Admission control; Asynchronous transfer mode; B-ISDN; Delay; Markov processes; Multidimensional systems; Multiplexing; Switches; Telecommunication traffic; Traffic control;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.387416

Filename

387416