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On the Facial Structure of the Constrained-Routing and Spectrum Assignment Polyhedron: Part I

Diarrassouba, Ibrahima; Hadhbi, Youssouf; Mahjoub, Ali Ridha (2021), On the Facial Structure of the Constrained-Routing and Spectrum Assignment Polyhedron: Part I. https://basepub.dauphine.psl.eu/handle/123456789/22208

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Type
Document de travail / Working paper
Date
2021
Series title
Preprint Lamsade
Published in
Paris
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Author(s)
Diarrassouba, Ibrahima
Hadhbi, Youssouf
Mahjoub, Ali Ridha
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
The constrained-routing and spectrum assignment (C-RSA) problem is a key issue when dimensioning and designing an optical network. Given an optical network G and a multiset of traffic demand K, it aims at determining for each traffic demand k ∈ K a path and an interval of contiguous slots while satisfying technological constraints and optimizing some linear objective function(s). In this paper, we first introduce an integer linear programming formulation for the C-RSA problem. We further investigate the facial structure of the associated polytope.
Subjects / Keywords
constrained-routing; Optical networks; spectrum assignment; integer linear programming; polyhedron; dimension; valid inequality; facet