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Elementary Components of the Quadratic Assignment Problem (1109.4875v1)
Published 22 Sep 2011 in cs.DM
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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