Four previously unsolved QAPLIB instances have been solved to optimality in recent years: see tai30a, tai35b, tai40b, and sko42.
We present below the 28 instances that have not yet been solved to optimality. The papers mentioned below are all cited in the original QAPLIB publication, which also describes the instances. The software packages are NewtBracket, BBCPOP, and BQOP.
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