Performance analysis of FDL buffers: a heuristic approach with impatience and quantization

  • Authors:
  • W. Rogiest;K. De Turck;K. Laevens;D. Fiems;S. Wittevrongel;H. Bruneel

  • Affiliations:
  • Ghent University (UGent), Ghent, Belgium;Ghent University (UGent), Ghent, Belgium;Ghent University (UGent), Ghent, Belgium;Ghent University (UGent), Ghent, Belgium;Ghent University (UGent), Ghent, Belgium;Ghent University (UGent), Ghent, Belgium

  • Venue:
  • Proceedings of the 5th International Conference on Queueing Theory and Network Applications
  • Year:
  • 2010

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Abstract

For current backbone networks, the capacity limit is not fiber throughput ( 10 Tbit/s per fiber), but rather, switching speed. Optical switching (Optical Packet Switching, Optical Burst Switching, and others) provides a viable alternative, relying on Fiber Delay Lines (FDLs) for buffering. The main feature of such a buffer is the quantization of possible delays: only delays equal to the length of one of the FDLs can be realized. The impact of quantization on buffer performance is huge. A recent numerical procedure for single-wavelength buffers allows exact numerical evaluation of this impact, but does not allow for practical insight. Moreover, it lacks the potential of generalization, needed to evaluate the performance of buffers with multiple wavelengths at the output. Countering this, we applied a heuristic combination of two existing queueing models: one with quantization, and one with impatience. As we show in this paper, this combination yields accurate performance results. Key vantage of this heuristic is that it translates the FDL buffer problem into two well-known queueing problems, with accurate performance expressions available in literature, even for multiple wavelengths. This paper presents the heuristic in detail, together with several figures, comparing the heuristic's output to exact results.