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Stability of multiwavelength optical buffers with delay‐oriented scheduling
Author(s) -
Morozov E.,
Rogiest W.,
De Turck K.,
Fiems D.,
Bruneel H.
Publication year - 2012
Publication title -
transactions on emerging telecommunications technologies
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.366
H-Index - 47
ISSN - 2161-3915
DOI - 10.1002/ett.1524
Subject(s) - scheduling (production processes) , queueing theory , computer science , queue , stability (learning theory) , distributed computing , computer network , mathematical optimization , mathematics , machine learning
This contribution presents the first stability analysis of multiwavelength queueing systems. Results are obtained for a wide class of implementable scheduling disciplines referred to as delay‐oriented disciplines, a class to which for example join the shortest queue belongs. Scheduling is applied as contention resolution in optical switches accommodated with fibre delay lines as means of buffering. The analysis yields sufficient stability conditions for multiwavelength optical buffers with a general fibre‐delay‐line set, renewal input and general service times. Copyright © 2011 John Wiley & Sons, Ltd.