Solving the quadratic assignment problem by means of general purpose mixed integer linear programming solvers

Huizhen Zhang (), Cesar Beltran-Royo () and Liang Ma ()

Annals of Operations Research, 2013, vol. 207, issue 1, 278 pages

Abstract: The Quadratic Assignment Problem (QAP) can be solved by linearization, where one formulates the QAP as a mixed integer linear programming (MILP) problem. On the one hand, most of these linearizations are tight, but rarely exploited within a reasonable computing time because of their size. On the other hand, Kaufman and Broeckx formulation (Eur. J. Oper. Res. 2(3):204–211, 1978 ) is the smallest of these linearizations, but very weak. In this paper, we analyze how the Kaufman and Broeckx formulation can be tightened to obtain better QAP-MILP formulations. As shown in our numerical experiments, these tightened formulations remain small but computationally effective to solve the QAP by means of general purpose MILP solvers. Copyright Springer Science+Business Media, LLC 2013

Keywords: Quadratic assignment problem; Mixed integer linear programming (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10479-012-1079-4

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