Exact analysis of single-wavelength optical buffers with feedback markov fluid queues

Date
2009-10-15
Authors
Kankaya H. E.
Akar, N.
Advisor
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Co-Advisor
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Source Title
Journal of Optical Communications and Networking
Print ISSN
1943-0620
Electronic ISSN
Publisher
Optical Society of America
Volume
1
Issue
6
Pages
530 - 542
Language
English
Type
Article
Journal Title
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Abstract

Optical buffering via fiber delay lines is used for contention resolution in optical packet and optical burst switching nodes. This article addresses the problem of exactly finding the blocking probabilities in an asynchronous single-wavelength optical buffer. Packet lengths are assumed to be variable and modeled by phase-type distributions, whereas the packet arrival process is modeled by a Markovian arrival process that can capture autocorrelations in interarrival times. The exact solution is based on the theory of feedback fluid queues for which we propose numerically efficient and stable algorithms. We not only find the packet blocking probabilities but also the entire distribution of the unfinished work in this system from which all performance measures of interest can be derived.

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Keywords
Buffer, Feedback fluid queues, Fiber delay line (FDL), Optical burst switching, Optical packet switching, Waves
Citation
Published Version (Please cite this version)