Metaheuristic approaches for MWT and MWPT problems

Hernández Peñalver, Gregorio and Dorzán, M. Gisela and Gagliardi, Edilma Olinda and Leguizamón, Guillermo (2011). Metaheuristic approaches for MWT and MWPT problems. In: "Proc. of XIV Spanish Meeting on Computational Geometry", 27/06/2011 - 30/06/2011, Alcalá de Henares, Madrid. pp. 79-82.

Description

Title: Metaheuristic approaches for MWT and MWPT problems
Author/s:
  • Hernández Peñalver, Gregorio
  • Dorzán, M. Gisela
  • Gagliardi, Edilma Olinda
  • Leguizamón, Guillermo
Item Type: Presentation at Congress or Conference (Article)
Event Title: Proc. of XIV Spanish Meeting on Computational Geometry
Event Dates: 27/06/2011 - 30/06/2011
Event Location: Alcalá de Henares, Madrid
Date: 2011
Subjects:
Faculty: Facultad de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

It is known that the Minimum Weight Triangulation problem is NP-hard. Also the complexity of the Minimum Weight Pseudo-Triangulation problem is unknown, yet it is suspected to be also NP-hard. Therefore we focused on the development of approximate algorithms to find high quality triangulations and pseudo-triangulations of minimum weight. In this work we propose two metaheuristics to solve these problems: Ant Colony Optimization (ACO) and Simulated Annealing (SA). For the experimental study we have created a set of instances for MWT and MWPT problems, since no reference to benchmarks for these problems were found in the literature. Through experimental evaluation, we assess the applicability of the ACO and SA metaheuristics for MWT and MWPT problems. These results are compared with those obtained from the application of deterministic algorithms for the same problems (Delaunay Triangulation for MWT and a Greedy algorithm respectively for MWT and MWPT).

More information

Item ID: 19276
DC Identifier: http://oa.upm.es/19276/
OAI Identifier: oai:oa.upm.es:19276
Deposited by: Memoria Investigacion
Deposited on: 23 Sep 2013 15:57
Last Modified: 21 Apr 2016 17:32
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