Elementary Components of the Quadratic Assignment Problem

Computer Science – Discrete Mathematics

Scientific paper

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10 pages, 1 figure. An extended version of this paper was published in GECCO 2010

Scientific paper

10.1145/1830483.1830745

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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