Modeling and solving the bi-objective minimum diameter-cost spanning tree problem

Andréa Santos (), Diego Lima () and Dario Aloise ()

Journal of Global Optimization, 2014, vol. 60, issue 2, 195-216

Abstract: The bi-objective minimum diameter-cost spanning tree problem (bi-MDCST) seeks spanning trees with minimum total cost and minimum diameter. The bi-objective version generalizes the well-known bounded diameter minimum spanning tree problem. The bi-MDCST is a NP-hard problem and models several practical applications in transportation and network design. We propose a bi-objective multiflow formulation for the problem and effective multi-objective metaheuristics: a multi-objective evolutionary algorithm and a fast nondominated sorting genetic algorithm. Some guidelines on how to optimize the problem whenever a priority order can be established between the two objectives are provided. In addition, we present bi-MDCST polynomial cases and theoretical bounds on the search space. Results are reported for four representative test sets. Copyright Springer Science+Business Media New York 2014

Keywords: Spanning trees; Multiflow formulation; Multi-objective metaheuristics; Transportation and network design (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10898-013-0124-4

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