Exact performance analysis of a single-wavelength optical buffer with correlated inter-arrival times

Wouter Rogiest; Dieter Fiems; Koenraad Laevens; Herwig Bruneel

doi:10.3934/jimo.2010.6.569

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2010, Volume 6, Issue 3: 569-585. Doi: 10.3934/jimo.2010.6.569

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Exact performance analysis of a single-wavelength optical buffer with correlated inter-arrival times

1.
SMACS Research Group, Ghent University, St.-Pietersnieuwstraat 41, 9000 Gent
2.
SMACS Research Group, Department TELIN (IR07), Ghent University, St.-Pietersnieuwstraat 41, 9000 Gent

Received: August 31, 2009

Revised: March 31, 2010

Published: June 2010

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Abstract

Providing a photonic alternative to the current electronic switching in the backbone, optical packet switching (OPS) and optical burst switching (OBS) require optical buffering. Optical buffering exploits delays in long optical fibers; an optical buffer is implemented by routing packets through a set of fiber delay lines (FDLs). Previous studies pointed out that, in comparison with electronic buffers, optical buffering suffers from an additional performance degradation. This contribution builds on this observation by studying optical buffer performance under more general traffic assumptions. Features of the optical buffer model under consideration include a Markovian arrival process, general burst sizes and a finite set of fiber delay lines of arbitrary length. Our algorithmic approach yields instant analytic results for important performance measures such as the burst loss ratio and the mean delay.

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Mathematics Subject Classification: Primary: 68M20, 60K25; Secondary: 90B22.

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