On dominance-based multiobjective local search: design, implementation and experimental analysis on scheduling and traveling salesman problems

  • Authors:
  • Arnaud Liefooghe;Jérémie Humeau;Salma Mesmoudi;Laetitia Jourdan;El-Ghazali Talbi

  • Affiliations:
  • Laboratoire d'Informatique Fondamentale de Lille (LIFL), UMR CNRS 8022, Université Lille 1 INRIA Lille-Nord Europe, Villeneuve d'Ascq cedex, France 59655;Département IA, École des Mines de Douai, Douai, France 59508;Laboratoire d'Imagerie Fonctionnelle (LIF), UMR_S 678 Inserm---UPMC, CHU Pitié-Salpêtrière, Paris cedex 13, France 75634;Laboratoire d'Informatique Fondamentale de Lille (LIFL), UMR CNRS 8022, Université Lille 1 INRIA Lille-Nord Europe, Villeneuve d'Ascq cedex, France 59655;Laboratoire d'Informatique Fondamentale de Lille (LIFL), UMR CNRS 8022, Université Lille 1 INRIA Lille-Nord Europe, Villeneuve d'Ascq cedex, France 59655 and King Saud University, Riyadh, Sau ...

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

Quantified Score

Hi-index 0.00

Visualization

Abstract

This paper discusses simple local search approaches for approximating the efficient set of multiobjective combinatorial optimization problems. We focus on algorithms defined by a neighborhood structure and a dominance relation that iteratively improve an archive of nondominated solutions. Such methods are referred to as dominance-based multiobjective local search. We first provide a concise overview of existing algorithms, and we propose a model trying to unify them through a fine-grained decomposition. The main problem-independent search components of dominance relation, solution selection, neighborhood exploration and archiving are largely discussed. Then, a number of state-of-the-art and original strategies are experimented on solving a permutation flowshop scheduling problem and a traveling salesman problem, both on a two- and a three-objective formulation. Experimental results and a statistical comparison are reported in the paper, and some directions for future research are highlighted.