Loss probabilities and delay and jitter distributions in a finite buffer queue with heterogeneous batch Markovian arrival processes

D. Kofman; H. Korezlioglu

Loss probabilities and delay and jitter distributions in a finite buffer queue with heterogeneous batch Markovian arrival processes

D. Kofman
, H. Korezlioglu

Telecom Paris

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We study a single server queue with finite buffer that may represent an ATM multiplexer. The input traffic is a superposition of independent heterogeneous Batch Markovian Arrival Processes. Service durations are supposed to be exponential. We derive the loss probability and the delay and jitter distributions for each individual process, as well as for the superposed one. We show that there is a significant difference between performances of individual and global flows, justifying our work. The approach is based on martingale techniques.

Original language	English
Title of host publication	IEEE Global Telecommunications Conference
Publisher	Publ by IEEE
Pages	830-834
Number of pages	5
ISBN (Print)	0780309170
Publication status	Published - 1 Dec 1993
Event	Proceedings of the IEEE Global Telecommunications Conference. Part 2 (of 4) - Houston, TX, USA Duration: 29 Nov 1993 → 2 Dec 1993

Publication series

Name	IEEE Global Telecommunications Conference
Volume	2

Conference

Conference	Proceedings of the IEEE Global Telecommunications Conference. Part 2 (of 4)
City	Houston, TX, USA
Period	29/11/93 → 2/12/93

Cite this

@inproceedings{cbdfa756c6b14e3895d6d50f15120738,

title = "Loss probabilities and delay and jitter distributions in a finite buffer queue with heterogeneous batch Markovian arrival processes",

abstract = "We study a single server queue with finite buffer that may represent an ATM multiplexer. The input traffic is a superposition of independent heterogeneous Batch Markovian Arrival Processes. Service durations are supposed to be exponential. We derive the loss probability and the delay and jitter distributions for each individual process, as well as for the superposed one. We show that there is a significant difference between performances of individual and global flows, justifying our work. The approach is based on martingale techniques.",

author = "D. Kofman and H. Korezlioglu",

year = "1993",

month = dec,

day = "1",

language = "English",

isbn = "0780309170",

series = "IEEE Global Telecommunications Conference",

publisher = "Publ by IEEE",

pages = "830--834",

booktitle = "IEEE Global Telecommunications Conference",

note = "Proceedings of the IEEE Global Telecommunications Conference. Part 2 (of 4) ; Conference date: 29-11-1993 Through 02-12-1993",

}

Kofman, D & Korezlioglu, H 1993, Loss probabilities and delay and jitter distributions in a finite buffer queue with heterogeneous batch Markovian arrival processes. in IEEE Global Telecommunications Conference. IEEE Global Telecommunications Conference, vol. 2, Publ by IEEE, pp. 830-834, Proceedings of the IEEE Global Telecommunications Conference. Part 2 (of 4), Houston, TX, USA, 29/11/93.

Loss probabilities and delay and jitter distributions in a finite buffer queue with heterogeneous batch Markovian arrival processes. / Kofman, D.; Korezlioglu, H.
IEEE Global Telecommunications Conference. Publ by IEEE, 1993. p. 830-834 (IEEE Global Telecommunications Conference; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Loss probabilities and delay and jitter distributions in a finite buffer queue with heterogeneous batch Markovian arrival processes

AU - Kofman, D.

AU - Korezlioglu, H.

PY - 1993/12/1

Y1 - 1993/12/1

N2 - We study a single server queue with finite buffer that may represent an ATM multiplexer. The input traffic is a superposition of independent heterogeneous Batch Markovian Arrival Processes. Service durations are supposed to be exponential. We derive the loss probability and the delay and jitter distributions for each individual process, as well as for the superposed one. We show that there is a significant difference between performances of individual and global flows, justifying our work. The approach is based on martingale techniques.

AB - We study a single server queue with finite buffer that may represent an ATM multiplexer. The input traffic is a superposition of independent heterogeneous Batch Markovian Arrival Processes. Service durations are supposed to be exponential. We derive the loss probability and the delay and jitter distributions for each individual process, as well as for the superposed one. We show that there is a significant difference between performances of individual and global flows, justifying our work. The approach is based on martingale techniques.

M3 - Conference contribution

AN - SCOPUS:0027812992

SN - 0780309170

T3 - IEEE Global Telecommunications Conference

SP - 830

EP - 834

BT - IEEE Global Telecommunications Conference

PB - Publ by IEEE

T2 - Proceedings of the IEEE Global Telecommunications Conference. Part 2 (of 4)

Y2 - 29 November 1993 through 2 December 1993

ER -

Loss probabilities and delay and jitter distributions in a finite buffer queue with heterogeneous batch Markovian arrival processes

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Publication series

Conference

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