### Abstract

This paper presents a new analytical model for calculating the blocking probability in Just-Enough-Time (JET)-based optical burst switching networks. Relationship to the problem of calculating the reservation probability in advance-reservation systems is also discussed. The proposed analytical model takes into consideration the effects of the offset time and the burst length on the blocking probability. We model the wavelength channel by a 2-state non-homogenous 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. In addition, 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 discrete-event simulation model. The model results were found to be in satisfactory agreement with simulation results.

Original language | English |
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Pages (from-to) | 264-269 |

Number of pages | 6 |

Journal | Proceedings - International Symposium on Computers and Communications |

Volume | 1 |

Publication status | Published - 1 Dec 2004 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings - International Symposium on Computers and Communications*,

*1*, 264-269.

**A new analytical model for computing blocking probability in optical burst switching networks.** / Kaheel, Ayman; Alnuweiri, Hussein; Gebali, Fayez.

Research output: Contribution to journal › Conference article

*Proceedings - International Symposium on Computers and Communications*, vol. 1, pp. 264-269.

}

TY - JOUR

T1 - A new analytical model for computing blocking probability in optical burst switching networks

AU - Kaheel, Ayman

AU - Alnuweiri, Hussein

AU - Gebali, Fayez

PY - 2004/12/1

Y1 - 2004/12/1

N2 - This paper presents a new analytical model for calculating the blocking probability in Just-Enough-Time (JET)-based optical burst switching networks. Relationship to the problem of calculating the reservation probability in advance-reservation systems is also discussed. The proposed analytical model takes into consideration the effects of the offset time and the burst length on the blocking probability. We model the wavelength channel by a 2-state non-homogenous 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. In addition, 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 discrete-event simulation model. The model results were found to be in satisfactory agreement with simulation results.

AB - This paper presents a new analytical model for calculating the blocking probability in Just-Enough-Time (JET)-based optical burst switching networks. Relationship to the problem of calculating the reservation probability in advance-reservation systems is also discussed. The proposed analytical model takes into consideration the effects of the offset time and the burst length on the blocking probability. We model the wavelength channel by a 2-state non-homogenous 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. In addition, 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 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=10844253110&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10844253110&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:10844253110

VL - 1

SP - 264

EP - 269

JO - Proceedings - International Symposium on Computers and Communications

JF - Proceedings - International Symposium on Computers and Communications

SN - 1530-1346

ER -