TY - JOUR A1 - Peng, Jiming A1 - Mittelmann, Hans A1 - Li, Xiaoxue T1 - A new relaxation framework for quadratic assignment problems based on matrix splitting T2 - Mathematical Programming Computation N2 - Quadratic assignment problems (QAPs) are known to be among the hardest discrete optimization problems. Recent study shows that even obtaining a strong lower bound for QAPs is a computational challenge. In this paper, we first discuss how to construct new simple convex relaxations of QAPs based on various matrix splitting schemes. Then we introduce the so-called symmetric mappings that can be used to derive strong cuts for the proposed relaxation model. We show that the bounds based on the new models are comparable to some strong bounds in the literature. Promising experimental results based on the new relaxations are reported. KW - Software KW - Theoretical Computer Science Y1 - 2010 UR - https://opus4.kobv.de/opus4-mpc/frontdoor/index/index/docId/11 SN - 1867-2949 VL - 2 IS - 1 SP - 59 EP - 77 PB - Springer Science and Business Media LLC ER -