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On the blocking time distribution of core OBS switches

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Abstract

Given the bufferless nature of Optical Burst- Switched networks, data bursts are either transmitted or dropped; the latter typically occurs when all the wavelengths of a given output port are occupied. Clearly, the amount of time during which a given output port is blocked and cannot schedule incoming data bursts is a key performance measure of OBS networks. This work shows that, under Poissonian burst arrivals, the blocking time distribution of a given output port in an OBS node approaches the exponential distribution as the number of wavelengths increases. It is further shown that this behavior remains regardless of the size distribution of incoming bursts, and therefore, regardless of the burst-assembly algorithms employed at the border nodes. Finally, this result is also applied to the characterization of the amount of overspill traffic, that is, the number of bursts that arrive within a blocked period, and therefore must be either dropped or diverted over alternative routes.

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Authors and Affiliations

  1. Universidad Pública de Navarra, Pamplona, Spain

    Daniel Morató

  2. Universidad Autónoma de Madrid, Madrid, Spain

    Javier Aracil, José Alberto Hernández & José Luis García-Dorado

Authors
  1. Daniel Morató
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  2. Javier Aracil
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  3. José Alberto Hernández
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  4. José Luis García-Dorado
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Corresponding author

Correspondence to José Alberto Hernández.

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Morató, D., Aracil, J., Hernández, J.A. et al. On the blocking time distribution of core OBS switches. Photon Netw Commun 18, 314–322 (2009). https://doi.org/10.1007/s11107-009-0194-x

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  • DOI: https://doi.org/10.1007/s11107-009-0194-x

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