Mathematical Programming

, Volume 97, Issue 1, pp 27-42

First online:

Recent advances in the solution of quadratic assignment problems

  • Kurt M. AnstreicherAffiliated withDepartment of Management Sciences, University of Iowa, Iowa City, IA 52242, e-mail:

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 The quadratic assignment problem (QAP) is notoriously difficult for exact solution methods. In the past few years a number of long-open QAPs, including those posed by Steinberg (1961), Nugent et al. (1968) and Krarup (1972) were solved to optimality for the first time. The solution of these problems has utilized both new algorithms and novel computing structures. We describe these developments, as well as recent work which is likely to result in the solution of even more difficult instances.