Performance formulae for queues with Gaussian input

Ron Addie; Petteri Mannersalo; Ilkka Norros

Performance formulae for queues with Gaussian input

Ron Addie, Petteri Mannersalo, Ilkka Norros

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

Abstract

In this paper, performance formulae for a queue serving Caussian traffic are presented. The main technique employed is large deviations, especially the use of a general form of Schilder's theorem. Most probable paths leading to high buffer occupancy are identified. Special attention is given to the case where the sample paths of the Gaussian process are smooth. The performance approximations have been tested by means of simulation and appear to be quite accurate.

Original language	English
Title of host publication	Teletraffic Engineering in a Competitive World
Subtitle of host publication	Proceedings of The International Teletraffic Congress ITC-16
Editors	P. Key, D. Smith
Place of Publication	Edinburgh
Publisher	Elsevier
Pages	1169-1178
ISBN (Print)	978-0-444-50268-1
Publication status	Published - 1999
MoE publication type	A4 Article in a conference publication
Event	International Teletraffic Congress, ITC 16 - Edinburgh, United Kingdom Duration: 7 Jun 1999 → 11 Jun 1999

Publication series

Series	Teletraffic Science and Engineering
Volume	3
ISSN	1388-3437

Conference

Conference	International Teletraffic Congress, ITC 16
Country/Territory	United Kingdom
City	Edinburgh
Period	7/06/99 → 11/06/99

Cite this

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title = "Performance formulae for queues with Gaussian input",

abstract = "In this paper, performance formulae for a queue serving Caussian traffic are presented. The main technique employed is large deviations, especially the use of a general form of Schilder's theorem. Most probable paths leading to high buffer occupancy are identified. Special attention is given to the case where the sample paths of the Gaussian process are smooth. The performance approximations have been tested by means of simulation and appear to be quite accurate.",

author = "Ron Addie and Petteri Mannersalo and Ilkka Norros",

year = "1999",

language = "English",

isbn = "978-0-444-50268-1",

series = "Teletraffic Science and Engineering",

publisher = "Elsevier",

pages = "1169--1178",

editor = "P. Key and D. Smith",

booktitle = "Teletraffic Engineering in a Competitive World",

address = "Netherlands",

note = "International Teletraffic Congress, ITC 16 ; Conference date: 07-06-1999 Through 11-06-1999",

}

Addie, R, Mannersalo, P & Norros, I 1999, Performance formulae for queues with Gaussian input. in P Key & D Smith (eds), Teletraffic Engineering in a Competitive World: Proceedings of The International Teletraffic Congress ITC-16. Elsevier, Edinburgh, Teletraffic Science and Engineering, vol. 3, pp. 1169-1178, International Teletraffic Congress, ITC 16, Edinburgh, United Kingdom, 7/06/99.

Performance formulae for queues with Gaussian input. / Addie, Ron; Mannersalo, Petteri; Norros, Ilkka.
Teletraffic Engineering in a Competitive World: Proceedings of The International Teletraffic Congress ITC-16. ed. / P. Key; D. Smith. Edinburgh: Elsevier, 1999. p. 1169-1178 (Teletraffic Science and Engineering, Vol. 3).

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

TY - GEN

T1 - Performance formulae for queues with Gaussian input

AU - Addie, Ron

AU - Mannersalo, Petteri

AU - Norros, Ilkka

PY - 1999

Y1 - 1999

N2 - In this paper, performance formulae for a queue serving Caussian traffic are presented. The main technique employed is large deviations, especially the use of a general form of Schilder's theorem. Most probable paths leading to high buffer occupancy are identified. Special attention is given to the case where the sample paths of the Gaussian process are smooth. The performance approximations have been tested by means of simulation and appear to be quite accurate.

AB - In this paper, performance formulae for a queue serving Caussian traffic are presented. The main technique employed is large deviations, especially the use of a general form of Schilder's theorem. Most probable paths leading to high buffer occupancy are identified. Special attention is given to the case where the sample paths of the Gaussian process are smooth. The performance approximations have been tested by means of simulation and appear to be quite accurate.

M3 - Conference article in proceedings

SN - 978-0-444-50268-1

T3 - Teletraffic Science and Engineering

SP - 1169

EP - 1178

BT - Teletraffic Engineering in a Competitive World

A2 - Key, P.

A2 - Smith, D.

PB - Elsevier

CY - Edinburgh

T2 - International Teletraffic Congress, ITC 16

Y2 - 7 June 1999 through 11 June 1999

ER -

Performance formulae for queues with Gaussian input

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