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arXiv · 1109.4875

Elementary Components of the Quadratic Assignment Problem

Francisco Chicano·Gabriel Luque·Enrique Alba
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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.

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Francisco Chicano, Gabriel Luque, Enrique Alba. 2011-09-22. Elementary Components of the Quadratic Assignment Problem. https://doi.org/10.1145/1830483.1830745

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