Analytical evaluation of blocking probability in optical burst switching networks

Ayman Kaheel, Hussein Alnuweiri, Fayez Gebali

Research output: Contribution to journalConference article

17 Citations (Scopus)

Abstract

In this paper we present a new analytical model for evaluating the blocking probability in Just-Enough-Time-based optical burst switching networks. The proposed analytical model takes into consideration the effects of the burst offset time and the burst length on the blocking probability. We use a (M+1)-state non-homogenous Markov chain to describe the state of an output link carrying M wavelength channels. In addition, we model each wavelength channel by a 2-state Markov chain. The offset time is drawn from a specified distribution so that wavelength reservation requests, made before a given time, build up to be a workload whose mean value declines with the reservation starting time. Furthermore, we express the blocking probability in terms of first passage time distributions to account for the burst length. To verify its accuracy, the model results are compared with the results of a sophisticated discrete-event simulation model. The model results were found to be in satisfactory agreement with simulation results.

Original languageEnglish
Pages (from-to)1548-1553
Number of pages6
JournalIEEE International Conference on Communications
Volume3
Publication statusPublished - 30 Aug 2004
Externally publishedYes

Fingerprint

Optical burst switching
Blocking probability
Switching networks
Wavelength
Markov processes
Analytical models
Discrete event simulation

ASJC Scopus subject areas

  • Media Technology

Cite this

Analytical evaluation of blocking probability in optical burst switching networks. / Kaheel, Ayman; Alnuweiri, Hussein; Gebali, Fayez.

In: IEEE International Conference on Communications, Vol. 3, 30.08.2004, p. 1548-1553.

Research output: Contribution to journalConference article

@article{9925fd691f5f48c49084c10dee94c052,
title = "Analytical evaluation of blocking probability in optical burst switching networks",
abstract = "In this paper we present a new analytical model for evaluating the blocking probability in Just-Enough-Time-based optical burst switching networks. The proposed analytical model takes into consideration the effects of the burst offset time and the burst length on the blocking probability. We use a (M+1)-state non-homogenous Markov chain to describe the state of an output link carrying M wavelength channels. In addition, we model each wavelength channel by a 2-state Markov chain. The offset time is drawn from a specified distribution so that wavelength reservation requests, made before a given time, build up to be a workload whose mean value declines with the reservation starting time. Furthermore, we express the blocking probability in terms of first passage time distributions to account for the burst length. To verify its accuracy, the model results are compared with the results of a sophisticated discrete-event simulation model. The model results were found to be in satisfactory agreement with simulation results.",
author = "Ayman Kaheel and Hussein Alnuweiri and Fayez Gebali",
year = "2004",
month = "8",
day = "30",
language = "English",
volume = "3",
pages = "1548--1553",
journal = "Conference Record - International Conference on Communications",
issn = "0536-1486",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - Analytical evaluation of blocking probability in optical burst switching networks

AU - Kaheel, Ayman

AU - Alnuweiri, Hussein

AU - Gebali, Fayez

PY - 2004/8/30

Y1 - 2004/8/30

N2 - In this paper we present a new analytical model for evaluating the blocking probability in Just-Enough-Time-based optical burst switching networks. The proposed analytical model takes into consideration the effects of the burst offset time and the burst length on the blocking probability. We use a (M+1)-state non-homogenous Markov chain to describe the state of an output link carrying M wavelength channels. In addition, we model each wavelength channel by a 2-state Markov chain. The offset time is drawn from a specified distribution so that wavelength reservation requests, made before a given time, build up to be a workload whose mean value declines with the reservation starting time. Furthermore, we express the blocking probability in terms of first passage time distributions to account for the burst length. To verify its accuracy, the model results are compared with the results of a sophisticated discrete-event simulation model. The model results were found to be in satisfactory agreement with simulation results.

AB - In this paper we present a new analytical model for evaluating the blocking probability in Just-Enough-Time-based optical burst switching networks. The proposed analytical model takes into consideration the effects of the burst offset time and the burst length on the blocking probability. We use a (M+1)-state non-homogenous Markov chain to describe the state of an output link carrying M wavelength channels. In addition, we model each wavelength channel by a 2-state Markov chain. The offset time is drawn from a specified distribution so that wavelength reservation requests, made before a given time, build up to be a workload whose mean value declines with the reservation starting time. Furthermore, we express the blocking probability in terms of first passage time distributions to account for the burst length. To verify its accuracy, the model results are compared with the results of a sophisticated discrete-event simulation model. The model results were found to be in satisfactory agreement with simulation results.

UR - http://www.scopus.com/inward/record.url?scp=4143066885&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4143066885&partnerID=8YFLogxK

M3 - Conference article

VL - 3

SP - 1548

EP - 1553

JO - Conference Record - International Conference on Communications

JF - Conference Record - International Conference on Communications

SN - 0536-1486

ER -