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• W2128247163 abstract "In this article, we consider partial Lagrangian relaxations of continuous quadratic formulations of the quadratic assignment problem (QAP) where the assignment constraints are not relaxed. These relaxations are a theoretical limit for semidefinite relaxations of the QAP using any linearised quadratic equalities made from the assignment constraints. Using this framework, we survey and compare standard semidefinite relaxations of this classical NP-hard problem. In particular, this approach is a simple way to prove that some well-known semidefinite relaxations for the QAP are equivalent. Nevertheless, these relaxations have a different numerical behaviour and practical usefulness depending on the semidefinite programming solver. We discuss such issues by reporting some computational experiments." @default.
• W2128247163 created "2016-06-24" @default.
• W2128247163 creator A5058178414 @default.
• W2128247163 date "2009-01-01" @default.
• W2128247163 modified "2023-09-27" @default.
• W2128247163 title "Semidefinite relaxations of the quadratic assignment problem in a Lagrangian framework" @default.
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• W2128247163 doi "https://doi.org/10.1504/ijmor.2009.022879" @default.
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