Geodesic
An exact method for solving the bi-objective Minimum Diameter-Cost Spanning Tree Problem
de Sousa, Ernando Gomes1 ; Santos, Andréa Cynthia2  ; Aloise, Dario José1
1 Universidade do Estado do Rio Grande do Norte, UERN Rua Almino Afonso, 478, CEP 59.610-210, Mossoró, RN, Brasil.
2 ICD-LOSI, Université de Technologie de Troyes 12, rue Marie Curie, CS 42060, 10004 Troyes Cedex, France.
RAIRO - Operations Research - Recherche Opérationnelle, Special ROADEF 2013, Tome 49 (2015) no. 1, pp. 143-160

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In this work, we propose a procedure to compute Pareto-optimal fronts for the bi-objective Minimum Diameter-Cost Spanning Tree problem (bi-MDCST). The bi-MDCST aims at finding spanning trees with minimum total cost and minimum diameter. Strategic decision problems for high-speed trains infrastructure, as well as tactical and operational optimization problems for network design and transportation can be modeled as bi-MDCST. The proposed exact procedure makes use of components from the multi-objective exact method Parallel Partitioning Method, and Pareto-optimal fronts have been computed for two benchmark instances from the literature. To the best of our knowledge, there are no works dedicated to providing Pareto-optimal fronts for the bi-MDCST.

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Accepté le :
DOI : 10.1051/ro/2014029
Classification : 90-08, 90C27, 90C29, 68W99
Keywords: Spanning trees, multi-objective optimization, Parallel Partitioning Method

de Sousa, Ernando Gomes 1 ; Santos, Andréa Cynthia 2 ; Aloise, Dario José 1

1 Universidade do Estado do Rio Grande do Norte, UERN Rua Almino Afonso, 478, CEP 59.610-210, Mossoró, RN, Brasil.
2 ICD-LOSI, Université de Technologie de Troyes 12, rue Marie Curie, CS 42060, 10004 Troyes Cedex, France. 
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     title = {An exact method for solving the bi-objective {Minimum} {Diameter-Cost} {Spanning} {Tree} {Problem}},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
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de Sousa, Ernando Gomes; Santos, Andréa Cynthia; Aloise, Dario José. An exact method for solving the bi-objective Minimum Diameter-Cost Spanning Tree Problem. RAIRO - Operations Research - Recherche Opérationnelle, Special ROADEF 2013, Tome 49 (2015) no. 1, pp. 143-160. doi: 10.1051/ro/2014029

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