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Lower bounds for the quadratic assignment problem

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Abstract

We investigate the classical Gilmore-Lawler lower bound for the quadratic assignment problem. We 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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Authors and Affiliations

  1. Computer Science Department, The Pennsylvania State University, 16802, University Park, PA, USA

    Y. Li

  2. Department of Industrial and Systems Engineering, University of Florida, 32611, Gainesville, FL, USA

    P. M. Pardalos

  3. Mathematical Sciences Research Center, AT&T Bell Laboratories, 07974, Murray Hill, NJ, USA

    K. G. Ramakrishnan & M. G. C. Resende

Authors
  1. Y. Li
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  2. P. M. Pardalos
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  3. K. G. Ramakrishnan
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  4. M. G. C. Resende
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Li, Y., Pardalos, P.M., Ramakrishnan, K.G. et al. Lower bounds for the quadratic assignment problem. Ann Oper Res 50, 387–410 (1994). https://doi.org/10.1007/BF02085649

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