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

نویسندگان

  • Eranda Çela
  • Vladimir G. Deineko
  • Gerhard J. Woeginger
چکیده

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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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 186  شماره 

صفحات  -

تاریخ انتشار 2015