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arXiv · 1402.3500

Well-solvable cases of the QAP with block-structured matrices

Eranda Çela·Vladimir G. Deineko·Gerhard J. Woeginger
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Abstract

We investigate special cases of the quadratic assignment problem (QAP) where one of the two underlying matrices carries a simple block structure. For the special case where the second underlying matrix is a monotone anti-Monge matrix, we derive a polynomial time result for a certain class of cut problems. For the special case where the second underlying matrix is a product matrix, we identify two sets of conditions on the block structure that make this QAP polynomially solvable respectively NP-hard.

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Eranda Çela, Vladimir G. Deineko, Gerhard J. Woeginger. 2014-02-14. Well-solvable cases of the QAP with block-structured matrices. https://arxiv.org/abs/1402.3500

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