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Branch-and-cut-and-price algorithm for the constrained-routing and spectrum assignment problem

Author

Listed:
  • Ibrahima Diarrassouba

    (LMAH, FR CNRS 3335, Le Havre Normandie University)

  • Youssouf Hadhbi

    (LIMOS, UMR CNRS 6158, Clermont Auvergne INP)

  • A. Ridha Mahjoub

    (Kuwait University
    LAMSADE, UMR CNRS 7243, Paris-Dauphine PSL University)

Abstract

The Constrained-Routing and Spectrum Assignment (C-RSA) problem arises in the design of 5G telecommunication optical networks. Given an undirected, loopless, and connected graph G, an optical spectrum of available contiguous frequency slots $${\mathbb {S}}$$ S , and a set of traffic demands K, the C-RSA consists of assigning, to each traffic demand $$k\in K$$ k ∈ K , a path in G between its origin and destination, and a subset of contiguous frequency slots in $${\mathbb {S}}$$ S subject to certain technological constraints while optimizing some linear objective function. In this paper, we devise an exact algorithm to solve the C-RSA. We first introduce an extended integer programming formulation for the problem. Then we investigate the associated polytope and introduce several classes of valid inequalities. Based on these results, we devise a Branch-and-Cut-and-Price algorithm for the problem and present an extensive computational study. This is also be compared with a Branch-and-Cut algorithm of the state-of-the-art.

Suggested Citation

  • Ibrahima Diarrassouba & Youssouf Hadhbi & A. Ridha Mahjoub, 2024. "Branch-and-cut-and-price algorithm for the constrained-routing and spectrum assignment problem," Journal of Combinatorial Optimization, Springer, vol. 47(4), pages 1-37, May.
  • Handle: RePEc:spr:jcomop:v:47:y:2024:i:4:d:10.1007_s10878-024-01125-x
    DOI: 10.1007/s10878-024-01125-x
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    References listed on IDEAS

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