The influence of linkage-learning in the linkage-tree GA when solving multidimensional knapsack problems

  • Authors:
  • Jean Paulo Martins;Alexandre Claudio Botazzo Delbem

  • Affiliations:
  • University of São Paulo, São Carlos, Brazil;University of São Paulo, São Carlos, Brazil

  • Venue:
  • Proceedings of the 15th annual conference on Genetic and evolutionary computation
  • Year:
  • 2013

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Abstract

Linkage Learning (LL) is an important issue concerning the development of more effective genetic algorithms (GA). It is from the identification of strongly dependent variables that crossover can be effective and an efficient search can be implemented. In the last decade many algorithms have confirmed the beneficial influence of LL when solving nearly decomposable problems. As it is a well-known fact from the no free-lunch theorem, LL can not be the best tool for all optimization problems, therefore, methods to identify those problems which could be efficiently solved by LL have become necessary. This paper investigates that nearly-decomposable problems present characteristic linkage-trees, therefore, those trees can be used as reference to infer whether or not some black-box optimization problem is a good candidate to be solved by LL. In this context, we consider the linkage-tree model from the Linkage-Tree GA (LTGA) and use the silhouette measure to expose some problems' characteristics. The silhouette fingerprints (SF) are defined for overlapping deceptive trap functions and compared with the SFs obtained for Multidimensional Knapsack Problems (MKP). The comparison allowed us to conclude that MKPs do not present evident linkages. This result was confirmed by experiments comparing the performance of the LTGA and the Randomized LTGA, in which both algorithms had very similar results.