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Decision/Objective Space Trajectory Networks for Multi-objective Combinatorial Optimisation

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Evolutionary Computation in Combinatorial Optimization (EvoCOP 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13987))

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Abstract

This paper adapts a graph-based analysis and visualisation tool, search trajectory networks (STNs) to multi-objective combinatorial optimisation. We formally define multi-objective STNs and apply them to study the dynamics of two state-of-the-art multi-objective evolutionary algorithms: MOEA/D and NSGA2. In terms of benchmark, we consider two- and three-objective \(\rho \)mnk-landscapes for constructing multi-objective multi-modal landscapes with objective correlation. We find that STN metrics and visualisation offer valuable insights into both problem structure and algorithm performance. Most previous visual tools in multi-objective optimisation consider the objective space only. Instead, our newly proposed tool asses algorithm behaviour in the decision and objective spaces simultaneously.

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Notes

  1. 1.

    https://github.com/gabro8a/STNs.

  2. 2.

    http://45.32.184.82.

  3. 3.

    https://github.com/gabro8a/STNs-MOCO.

  4. 4.

    https://github.com/gabro8a/STNs-MOEA.

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Acknowledgements

We are deeply grateful to the SPECIES Society for funding a scholarship for Yuri Lavinas to visit the University of Stirling, Scotland, UK.

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Authors and Affiliations

  1. University of Stirling, Stirling, FK9 4LA, UK

    Gabriela Ochoa

  2. Univ. Lille, CNRS, Inria, Centrale Lille, UMR 9189 CRIStAL, 59000, Lille, France

    Arnaud Liefooghe

  3. University of Tsukuba, 1-1-1 Tennodai, Tsukuba, 305-8577, Japan

    Yuri Lavinas & Claus Aranha

Authors
  1. Gabriela Ochoa
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  2. Arnaud Liefooghe
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  3. Yuri Lavinas
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  4. Claus Aranha
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Corresponding author

Correspondence to Gabriela Ochoa .

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Editors and Affiliations

  1. Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile

    Leslie Pérez Cáceres

  2. Université libre de Bruxelles, Bruxelles, Belgium

    Thomas Stützle

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Ochoa, G., Liefooghe, A., Lavinas, Y., Aranha, C. (2023). Decision/Objective Space Trajectory Networks for Multi-objective Combinatorial Optimisation. In: Pérez Cáceres, L., Stützle, T. (eds) Evolutionary Computation in Combinatorial Optimization. EvoCOP 2023. Lecture Notes in Computer Science, vol 13987. Springer, Cham. https://doi.org/10.1007/978-3-031-30035-6_14

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  • DOI: https://doi.org/10.1007/978-3-031-30035-6_14

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  • Online ISBN: 978-3-031-30035-6

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