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Effective formulation reductions for the quadratic assignment problem
DOI:10.1016/j.cor.2010.02.001.png)
摘要
En 中文
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 121 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. (C) 2010 Elsevier Ltd. All rights reserved.
Keyword:
Quadratic assignment problem
Linear integer programming
Linear programming relaxation
Sparse matrix
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期刊
C
IF:
4.3
论文数:
6.5K
被引数:
1.8W
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