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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

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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 and NP-hard, respectively

Item Type: Journal Article
Divisions: Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences
Faculty of Social Sciences > Warwick Business School
Journal or Publication Title: Discrete Applied Mathematics
Publisher: Elsevier Science Ltd.
ISSN: 0166-218X
Official Date: 11 May 2015
Dates:
DateEvent
11 May 2015Published
11 February 2015Available
5 January 2015Accepted
29 October 2013Submitted
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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