Lower bounds for the quadratic assignment problem

Lower bounds for the quadratic assignment problem

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Article ID: iaor1995761
Country: Switzerland
Volume: 50
Issue: 1
Start Page Number: 387
End Page Number: 410
Publication Date: Sep 1994
Journal: Annals of Operations Research
Authors: , , ,
Keywords: quadratic assignment
Abstract:

The authors investigate the classical Gilmore-Lawler lower bound for the quadratic assignment problem. They provide evidence of the difficulty of improving the Gilmore-Lawler bound and develop new bounds by means of optimal reduction schemes. Computational results are reported indicating that the new lower bounds have advantages over previous bounds and can be used in a branch-and-bound type algorithm for the quadratic assignment problem.

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