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Well-solvable cases of the QAP with block-structured matrices
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Çela, Eranda, Deineko, Vladimir G. and Woeginger, Gerhard J. (2015) Well-solvable cases of the QAP with block-structured matrices. Discrete Applied Mathematics, Volume 186 . pp. 56-65. doi:10.1016/j.dam.2015.01.005 ISSN 0166-218X.
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Official URL: http://dx.doi.org/10.1016/j.dam.2015.01.005
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 and NP-hard, respectively
Item Type: | Journal Article | ||||||||||
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Divisions: | Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences Faculty of Social Sciences > Warwick Business School |
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Journal or Publication Title: | Discrete Applied Mathematics | ||||||||||
Publisher: | Elsevier Science Ltd. | ||||||||||
ISSN: | 0166-218X | ||||||||||
Official Date: | 11 May 2015 | ||||||||||
Dates: |
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Volume: | Volume 186 | ||||||||||
Page Range: | pp. 56-65 | ||||||||||
DOI: | 10.1016/j.dam.2015.01.005 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Open Access (Creative Commons) |
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