The Quadratic Assignment Problem

Eugene L. Lawler
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Eugene L. Lawler: University of Michigan, Ann Arbor

Management Science, 1963, vol. 9, issue 4, 586-599

Abstract: This paper presents a formulation of the quadratic assignment problem, of which the Koopmans-Beckmann formulation is a special case. Various applications for the formulation are discussed. The equivalence of the problem to a linear assignment problem with certain additional constraints is demonstrated. A method for calculating a lower bound on the cost function is presented, and this forms the basis for an algorithm to determine optimal solutions. Further generalizations to cubic, quartic, N-adic problems are considered.

Date: 1963
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:9:y:1963:i:4:p:586-599

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