Variable and value ordering decision matrix hyper-heuristics: a local improvement approach

  • Authors:
  • José Carlos Ortiz-Bayliss;Hugo Terashima-Marín;Ender Özcan;Andrew J. Parkes;Santiago Enrique Conant-Pablos

  • Affiliations:
  • Tecnológico de Monterrey, Monterrey, Mexico;Tecnológico de Monterrey, Monterrey, Mexico;University of Nottingham, Nottingham, United Kingdom;University of Nottingham, Nottingham, United Kingdom;Tecnológico de Monterrey, Monterrey, Mexico

  • Venue:
  • MICAI'11 Proceedings of the 10th Mexican international conference on Advances in Artificial Intelligence - Volume Part I
  • Year:
  • 2011

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Abstract

Constraint Satisfaction Problems (CSP) represent an important topic of study because of their many applications in different areas of artificial intelligence and operational research. When solving a CSP, the order in which the variables are selected to be instantiated and the order of the corresponding values to be tried affect the complexity of the search. Hyper-heuristics are flexible methods that provide generality when solving different problems and, within CSP, they can be used to determine the next variable and value to try. They select from a set of low-level heuristics and decide which one to apply at each decision point according to the problem state. This study explores a hyper-heuristic model for variable and value ordering within CSP based on a decision matrix hyper-heuristic that is constructed by going into a local improvement method that changes small portions of the matrix. The results suggest that the approach is able to combine the strengths of different low-level heuristics to perform well on a wide range of instances and compensate for their weaknesses on specific instances.