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Solving the Optimum Communication Spanning Tree Problem

Title:

Solving the Optimum Communication Spanning Tree Problem

Contreras, Ivan ORCID: https://orcid.org/0000-0002-0235-8108, Armando Zetina, Carlos, Fernández, Elena and Luna-Mota, Carlos (2017) Solving the Optimum Communication Spanning Tree Problem. European Journal of Operational Research . ISSN 03772217 (In Press)

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Official URL: http://dx.doi.org/10.1016/j.ejor.2018.07.055

Abstract

This paper presents an algorithm based on Benders decomposition to solve the optimum communication spanning tree problem. The algorithm integrates within a branch-and-cut framework a stronger reformulation of the problem, combinatorial lower bounds, in-tree heuristics, fast separation algorithms, and a tailored branching rule. Computational experiments show solution time savings of up to three orders of magnitude compared to state-of-the-art exact algorithms. In addition, our algorithm is able to prove optimality for five unsolved instances in the literature and four from a new set of larger instances.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Mechanical, Industrial and Aerospace Engineering
Item Type:Article
Refereed:Yes
Authors:Contreras, Ivan and Armando Zetina, Carlos and Fernández, Elena and Luna-Mota, Carlos
Journal or Publication:European Journal of Operational Research
Date:6 December 2017
Funders:
  • Canadian Natural Sciences and Engineering Research Council (NSERC)
  • Spanish Ministry of Economy and Competitiveness and ERDF
Digital Object Identifier (DOI):10.1016/j.ejor.2018.07.055
Keywords:Networks; Network optimization; Benders decomposition; Spanning trees
ID Code:984182
Deposited By: ALINE SOREL
Deposited On:22 Aug 2018 15:41
Last Modified:08 Aug 2020 00:00

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