Traffic Grooming: Combinatorial Results and Practical Resolutions. - Archive ouverte HAL Access content directly
Book Sections Year : 2010

## Traffic Grooming: Combinatorial Results and Practical Resolutions.

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Tibor Cinkler
• Function : Author
David Coudert
Michele Flammini
• Function : Author
• PersonId : 881315
Gianpiero Monaco
• Function : Author
• PersonId : 881316
Luca Moscardelli
• Function : Author
• PersonId : 881317
Xavier Muñoz
• Function : Author
• PersonId : 864317
Ignasi Sau Valls
Mordechai Shalom
• Function : Author
• PersonId : 881319
Shmuel Zaks
• Function : Author
• PersonId : 867179

#### Abstract

In an optical network using the wavelength division multiplexing (WDM) technology, routing a request consists in assigning it a route in the physical network and a wavelength. If each request uses $1/g$ of the bandwidth of the wavelength, we will say that the grooming factor is $g$. That means that on a given edge of the network we can groom (group) at most $g$ requests on the same wavelength. With this constraint the objective can be either to minimize the number of wavelengths (related to the transmission cost) or minimize the number of Add Drop Multiplexers (shortly ADM) used in the network (related to the cost of the nodes). Here, we first survey the main theoretical results obtained for different grooming factors on various topologies: complexity, (in)approximability, optimal constructions, approximation algorithms, heuristics, etc. Then, we give an ILP formulation for multilayer traffic grooming and present some experimental results.

### Dates and versions

inria-00530964 , version 1 (31-10-2010)

### Identifiers

• HAL Id : inria-00530964 , version 1
• DOI :

### Cite

Tibor Cinkler, David Coudert, Michele Flammini, Gianpiero Monaco, Luca Moscardelli, et al.. Traffic Grooming: Combinatorial Results and Practical Resolutions.. Arie Koster and Xavier Muñoz. Graphs and Algorithms in Communication Networks: Studies in Broadband, Optical, Wireless, and Ad Hoc Networks., XXVII, Springer, pp.63-94, 2010, EATCS Texts in Theoretical Computer Science, 978-3-642-02249-4. ⟨10.1007/978-3-642-02250-0⟩. ⟨inria-00530964⟩

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