Issue |
RAIRO-Oper. Res.
Volume 55, 2021
Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
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Page(s) | S343 - S350 | |
DOI | https://doi.org/10.1051/ro/2020023 | |
Published online | 02 March 2021 |
Using multiflow formulations to solve the Steiner tree problem in graphs
1
Systems Engineering and Computer Science Program, Alberto Luiz Coimbra Institute – Graduate School and Research in Engineering, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil.
2
IBGE Foundation – CRM/GEFET, Rio de Janeiro, Brazil.
* Corresponding author: maculan@cos.ufrj.br
Received:
20
July
2019
Accepted:
21
February
2020
We present three different mixed integer linear models with a polynomial number of variables and constraints for the Steiner tree problem in graphs. The linear relaxations of these models are compared to show that a good (strong) linear relaxation can be a good approximation for the problem. We present computational results for the STP OR-Library (J.E. Beasley) instances of type b, c, d and e.
Mathematics Subject Classification: 90C27 / 90Cxx / 90C90
Key words: Steiner problem in graphs / multiflow formulations / linear relaxations
© EDP Sciences, ROADEF, SMAI 2021
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