Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
475814 | Computers & Operations Research | 2016 | 10 Pages |
Abstract
In this paper we study two formulation reductions for the quadratic assignment problem (QAP). In particular we apply these reductions to the well known Adams and Johnson [2] integer linear programming formulation of the QAP. We analyze two cases: In the first case, we study the effect of constraint reduction. In the second case, we study the effect of variable reduction in the case of a sparse cost matrix. Computational experiments with a set of 30 QAPLIB instances, which range from 12 to 32 locations, are presented. The proposed reductions turned out to be very effective.
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Computer Science
Computer Science (General)
Authors
Huizhen Zhang, Cesar Beltran-Royo, Miguel Constantino,