Compact mixed integer linear programming models to the minimum weighted tree reconstruction problem

Bernard Fortz, Olga Oliveira and Cristina Requejo

European Journal of Operational Research, 2017, vol. 256, issue 1, 242-251

Abstract: The Minimum Weighted Tree Reconstruction (MWTR) problem consists of finding a minimum length weighted tree connecting a set of terminal nodes in such a way that the length of the path between each pair of terminal nodes is greater than or equal to a given distance between the considered pair of terminal nodes. This problem has applications in several areas, namely, the inference of phylogenetic trees, the modeling of traffic networks and the analysis of internet infrastructures. In this paper, we investigate the MWTR problem and we present two compact mixed-integer linear programming models to solve the problem. Computational results using two different sets of instances, one from the phylogenetic area and another from the telecommunications area, show that the best of the two models is able to solve instances of the problem having up to 15 terminal nodes.

Keywords: Mixed integer linear programming; Tree realization; Topology discovery; Routing topology inference; Minimum evolution problem (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:256:y:2017:i:1:p:242-251

DOI: 10.1016/j.ejor.2016.06.014

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