A hybrid metaheuristic for the minimum labeling spanning tree problem

Thiago Gouveia da Silva, Eduardo Queiroga, Luiz Satoru Ochi, Lucídio dos Anjos Formiga Cabral, Serigne Gueye and Philippe Michelon

European Journal of Operational Research, 2019, vol. 274, issue 1, 22-34

Abstract: An edge-labeled graph (ELG) is a graph in which each edge has a label associated. Given G, an ELG, the minimum labeling spanning tree problem (MLSTP) is an NP-hard problem that consists in finding a spanning tree in G by using a minimum number of labels. The MLSTP has applications in areas such as computer networks, multimodal transportation networks, and data compression. This paper introduces new concepts, presents a revised version of the maximum vertex covering algorithm and provides a tighter bound to its time complexity. Further, a new MIP-based metaheuristic is proposed for solving the MLSTP, the multi-start local branching (MSLB). It combines the efficiency of the proposed constructive heuristics with the capacity of exploration of a new local search method based on MIP. The computational experiments performed show that the MSLB is superior to the current state-of-the-art metaheuristics in respect to quality of the solutions and processing times.

Keywords: Metaheuristic; Edge-labeled graph; Spanning tree; Complexity analysis (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:274:y:2019:i:1:p:22-34

DOI: 10.1016/j.ejor.2018.09.044

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