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      Retrial queuing models of multi-wavelength FDL feedback optical buffers

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      Author
      Akar, N.
      Sohraby, K.
      Date
      2011
      Source Title
      IEEE Transactions on Communications
      Print ISSN
      0090-6778
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      59
      Issue
      10
      Pages
      2832 - 2840
      Language
      English
      Type
      Article
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      Abstract
      Optical buffers based on Fiber Delay Lines (FDL) have been proposed for contention resolution in optical packet/burst switching systems. In this article, we propose a retrial queuing model for FDL optical buffers in asynchronous optical switching nodes. In the considered system, the reservation model employed is of post-reservation type and optical packets are allowed to re-circulate over the FDLs in a probabilistic manner. We combine the MMPP-based overflow traffic models of the classical circuit switching literature and fixed-point iterations to devise an algorithmic procedure to accurately estimate blocking probabilities as a function of various buffer parameters in the system when packet arrivals are Poisson and packet lengths are exponentially distributed. The proposed algorithm is both accurate and fast, allowing one to use the procedure to dimension optical buffers in next-generation optical packet switching systems.
      Keywords
      Fiber Delay Line (FDL) re-circulation buffer
      Markov modulated Poisson process
      Optical burst switching
      Optical packet switching
      Retrial queues
      Markov modulated Poisson process
      Recirculations
      Poisson distribution
      Queueing theory
      Switching systems
      Permalink
      http://hdl.handle.net/11693/21767
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/TCOMM.2011.071111.100521
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      • Department of Electrical and Electronics Engineering 3524
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