On the broadening of cell bursts in an ATM network

Jorma Virtanen; Ilkka Norros

doi:10.1016/B978-0-444-81584-2.50038-0

On the broadening of cell bursts in an ATM network

Jorma Virtanen (Editor), Ilkka Norros

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

Abstract

The expansion of a burst during its traversal through a number of multiplexing stages in an ATM network is analysed. The phenomenon is first described and demonstrated by simulation experiments. The expansion is caused by a self-induced load increase of the multiplexers by the burst, whereby the latter cells of the burst experience, on the average, longer delays than the first cell. An analytical study on the growth of the interval between the first and the second cell is presented. Assuming Poissonian background traffic, this interval forms a Markov chain, from stage to stage. The transition matrix of the chain is derived by calculating the delay distribution of the second cell conditioned on the delay of the first cell and the interval between the two on the input side of the multiplexer, and then unconditioning this with respect to the delay of the first cell which is distributed as the delay in an M/D/1 queue. A simplified analysis is also given for the growth of the average interval.

Original language	English
Title of host publication	Integrated Broadband Communication Networks and Services
Subtitle of host publication	Proceedings of the IFIP Tc6/iccc International Conference on Integrated Broadband Communication Networks and Services
Editors	Willy B. Iversen
Place of Publication	Amsterdam
Pages	373-381
DOIs	https://doi.org/10.1016/B978-0-444-81584-2.50038-0
Publication status	Published - 1994
MoE publication type	A4 Article in a conference publication
Event	IFIP Tc6/iccc International Conference on Integrated Broadband Communication Networks and Services - Copenhagen, Denmark Duration: 20 Apr 1993 → 23 Apr 1993

Publication series

Series	IFIP Transactions C: Communication Systems
ISSN	0926-549X

Conference

Conference	IFIP Tc6/iccc International Conference on Integrated Broadband Communication Networks and Services
Country	Denmark
City	Copenhagen
Period	20/04/93 → 23/04/93

Access to Document

10.1016/B978-0-444-81584-2.50038-0

Fingerprint Dive into the research topics of 'On the broadening of cell bursts in an ATM network'. Together they form a unique fingerprint.

Cite this

Virtanen, J. (Ed.), & Norros, I. (1994). On the broadening of cell bursts in an ATM network. In W. B. Iversen (Ed.), Integrated Broadband Communication Networks and Services: Proceedings of the IFIP Tc6/iccc International Conference on Integrated Broadband Communication Networks and Services (pp. 373-381). IFIP Transactions C: Communication Systems https://doi.org/10.1016/B978-0-444-81584-2.50038-0

Virtanen, Jorma (Editor) ; Norros, Ilkka. / On the broadening of cell bursts in an ATM network. Integrated Broadband Communication Networks and Services: Proceedings of the IFIP Tc6/iccc International Conference on Integrated Broadband Communication Networks and Services. editor / Willy B. Iversen. Amsterdam, 1994. pp. 373-381 (IFIP Transactions C: Communication Systems).

@inproceedings{ef9b79821e764402beea0aedfc58cb0a,

title = "On the broadening of cell bursts in an ATM network",

abstract = "The expansion of a burst during its traversal through a number of multiplexing stages in an ATM network is analysed. The phenomenon is first described and demonstrated by simulation experiments. The expansion is caused by a self-induced load increase of the multiplexers by the burst, whereby the latter cells of the burst experience, on the average, longer delays than the first cell. An analytical study on the growth of the interval between the first and the second cell is presented. Assuming Poissonian background traffic, this interval forms a Markov chain, from stage to stage. The transition matrix of the chain is derived by calculating the delay distribution of the second cell conditioned on the delay of the first cell and the interval between the two on the input side of the multiplexer, and then unconditioning this with respect to the delay of the first cell which is distributed as the delay in an M/D/1 queue. A simplified analysis is also given for the growth of the average interval.",

author = "Jorma Virtanen and Ilkka Norros",

note = "Project code: TEL1048; IFIP Tc6/iccc International Conference on Integrated Broadband Communication Networks and Services ; Conference date: 20-04-1993 Through 23-04-1993",

year = "1994",

doi = "10.1016/B978-0-444-81584-2.50038-0",

language = "English",

isbn = "978-0-444-81584-2",

series = "IFIP Transactions C: Communication Systems",

pages = "373--381",

editor = "Iversen, {Willy B.}",

booktitle = "Integrated Broadband Communication Networks and Services",

}

Virtanen, J (ed.) & Norros, I 1994, On the broadening of cell bursts in an ATM network. in WB Iversen (ed.), Integrated Broadband Communication Networks and Services: Proceedings of the IFIP Tc6/iccc International Conference on Integrated Broadband Communication Networks and Services. Amsterdam, IFIP Transactions C: Communication Systems, pp. 373-381, IFIP Tc6/iccc International Conference on Integrated Broadband Communication Networks and Services, Copenhagen, Denmark, 20/04/93. https://doi.org/10.1016/B978-0-444-81584-2.50038-0

On the broadening of cell bursts in an ATM network. / Virtanen, Jorma (Editor); Norros, Ilkka.

Integrated Broadband Communication Networks and Services: Proceedings of the IFIP Tc6/iccc International Conference on Integrated Broadband Communication Networks and Services. ed. / Willy B. Iversen. Amsterdam, 1994. p. 373-381 (IFIP Transactions C: Communication Systems).

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

TY - GEN

T1 - On the broadening of cell bursts in an ATM network

AU - Norros, Ilkka

A2 - Virtanen, Jorma

A2 - Iversen, Willy B.

N1 - Project code: TEL1048

PY - 1994

Y1 - 1994

N2 - The expansion of a burst during its traversal through a number of multiplexing stages in an ATM network is analysed. The phenomenon is first described and demonstrated by simulation experiments. The expansion is caused by a self-induced load increase of the multiplexers by the burst, whereby the latter cells of the burst experience, on the average, longer delays than the first cell. An analytical study on the growth of the interval between the first and the second cell is presented. Assuming Poissonian background traffic, this interval forms a Markov chain, from stage to stage. The transition matrix of the chain is derived by calculating the delay distribution of the second cell conditioned on the delay of the first cell and the interval between the two on the input side of the multiplexer, and then unconditioning this with respect to the delay of the first cell which is distributed as the delay in an M/D/1 queue. A simplified analysis is also given for the growth of the average interval.

AB - The expansion of a burst during its traversal through a number of multiplexing stages in an ATM network is analysed. The phenomenon is first described and demonstrated by simulation experiments. The expansion is caused by a self-induced load increase of the multiplexers by the burst, whereby the latter cells of the burst experience, on the average, longer delays than the first cell. An analytical study on the growth of the interval between the first and the second cell is presented. Assuming Poissonian background traffic, this interval forms a Markov chain, from stage to stage. The transition matrix of the chain is derived by calculating the delay distribution of the second cell conditioned on the delay of the first cell and the interval between the two on the input side of the multiplexer, and then unconditioning this with respect to the delay of the first cell which is distributed as the delay in an M/D/1 queue. A simplified analysis is also given for the growth of the average interval.

U2 - 10.1016/B978-0-444-81584-2.50038-0

DO - 10.1016/B978-0-444-81584-2.50038-0

M3 - Conference article in proceedings

SN - 978-0-444-81584-2

T3 - IFIP Transactions C: Communication Systems

SP - 373

EP - 381

BT - Integrated Broadband Communication Networks and Services

CY - Amsterdam

T2 - IFIP Tc6/iccc International Conference on Integrated Broadband Communication Networks and Services

Y2 - 20 April 1993 through 23 April 1993

ER -

Virtanen J, (ed.), Norros I. On the broadening of cell bursts in an ATM network. In Iversen WB, editor, Integrated Broadband Communication Networks and Services: Proceedings of the IFIP Tc6/iccc International Conference on Integrated Broadband Communication Networks and Services. Amsterdam. 1994. p. 373-381. (IFIP Transactions C: Communication Systems). https://doi.org/10.1016/B978-0-444-81584-2.50038-0