# Traffic Grooming in Bidirectional WDM Ring Networks

1 MASCOTTE - Algorithms, simulation, combinatorics and optimization for telecommunications
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - COMRED - COMmunications, Réseaux, systèmes Embarqués et Distribués
Abstract : We study the minimization of ADMs (Add-Drop Multiplexers) in optical WDM bidirectional rings considering symmetric shortest path routing and all-to-all unitary requests. We precisely formulate the problem in terms of graph decompositions, and state a general lower bound for all the values of the grooming factor $C$ and $N$, the size of the ring. We first study exhaustively the cases $C=1$, $C = 2$, and $C=3$, providing improved lower bounds, optimal constructions for several infinite families, as well as asymptotically optimal constructions and approximations. We then study the case $C>3$, focusing specifically on the case $C = k(k+1)/2$ for some $k \geq 1$. We give optimal decompositions for several congruence classes of $N$ using the existence of some combinatorial designs. We conclude with a comparison of the cost functions in unidirectional and bidirectional WDM rings.
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Reports

Cited literature [35 references]

https://hal.inria.fr/inria-00429155
Contributor : Ignasi Sau Valls <>
Submitted on : Saturday, October 31, 2009 - 7:40:08 PM
Last modification on : Tuesday, November 17, 2020 - 11:18:04 PM
Long-term archiving on: : Thursday, June 17, 2010 - 5:38:34 PM

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RR-7080.pdf
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### Identifiers

• HAL Id : inria-00429155, version 1
• ARXIV : 0911.0140

### Citation

Jean-Claude Bermond, Xavier Muñoz. Traffic Grooming in Bidirectional WDM Ring Networks. [Research Report] RR-7080, INRIA. 2009, pp.33. ⟨inria-00429155⟩

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