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Compact linearization for binary quadratic problems

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Abstract

We show that a well-known linearization technique initially proposed for quadratic assignment problems can be generalized to a broader class of quadratic 0–1 mixed-integer problems subject to assignment constraints. The resulting linearized formulation is more compact and tighter than that obtained with a more usual linearization technique. We discuss the application of the compact linearization to three classes of problems in the literature, among which the graph partitioning problem.

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Correspondence to Leo Liberti.

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Liberti, L. Compact linearization for binary quadratic problems. 4OR 5, 231–245 (2007). https://doi.org/10.1007/s10288-006-0015-3

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