Elementary landscape decomposition of the quadratic assignment problem

  • Authors:
  • Francisco Chicano;Gabriel Luque;Enrique Alba

  • Affiliations:
  • University of Málaga, Málaga, Spain;University of Málaga, Málaga, Spain;University of Málaga, Málaga, Spain

  • Venue:
  • Proceedings of the 12th annual conference on Genetic and evolutionary computation
  • Year:
  • 2010

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Abstract

The Quadratic Assignment Problem (QAP) is a well-known NP-hard combinatorial optimization problem that is at the core of many real-world optimization problems. We prove that QAP can be written as the sum of three elementary landscapes when the swap neighborhood is used. We present a closed formula for each of the three elementary components and we compute bounds for the autocorrelation coefficient.