The efficiency of indicator-based local search for multi-objective combinatorial optimisation problems

  • Authors:
  • M. Basseur;A. Liefooghe;K. Le;E. K. Burke

  • Affiliations:
  • Automated, Scheduling, Optimisation and Planning (ASAP) Research Group, University of Nottingham, Jubilee Campus, UK and Laboratoire d'Études et de Recherche en Informatique d'Angers (LERIA), ...;INRIA Dolphin Research Group, Laboratoire d'Informatique Fondamentale de Lille (LIFL), CNRS, University of Lille 1, Villeneuve d'Ascq, France;Automated, Scheduling, Optimisation and Planning (ASAP) Research Group, University of Nottingham, Jubilee Campus, UK;Automated, Scheduling, Optimisation and Planning (ASAP) Research Group, University of Nottingham, Jubilee Campus, UK

  • Venue:
  • Journal of Heuristics
  • Year:
  • 2012

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Abstract

In the last few years, a significant number of multi-objective metaheuristics have been proposed in the literature in order to address real-world problems. Local search methods play a major role in many of these metaheuristic procedures. In this paper, we adapt a recent and popular indicator-based selection method proposed by Zitzler and Künzli in 2004, in order to define a population-based multi-objective local search. The proposed algorithm is designed in order to be easily adaptable, parameter independent and to have a high convergence rate. In order to evaluate the capacity of our algorithm to reach these goals, a large part of the paper is dedicated to experiments. Three combinatorial optimisation problems are tested: a flow shop problem, a ring star problem and a nurse scheduling problem. The experiments show that our algorithm can be applied with success to different types of multi-objective optimisation problems and that it outperforms some classical metaheuristics. Furthermore, the parameter sensitivity analysis enables us to provide some useful guidelines about how to set the parameters.