Variable neighborhood search with permutation distance for QAP

  • Authors:
  • Chong Zhang;Zhangang Lin;Zuoquan Lin

  • Affiliations:
  • ,School of Mathematical Sciences;,School of Mathematical Sciences;,School of Mathematical Sciences

  • Venue:
  • KES'05 Proceedings of the 9th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part IV
  • Year:
  • 2005

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Abstract

QAP is a famous $\mathcal{NP}-$Hard [1] combinatorial optimization problem. Many theoretical and real-life problems could be modeled as it. VNS is a recent metaheuristic and shows good performance in dealing with QAP [2]. In this paper, a new concept distance called permutation distance is proposed and exploited in detail. With permutation distance ready, we combine the hamming distance with it and propose a group of new neighborhood structures in QAP for VNS. Numerical tests running on the standard benchmark library QAPLIB [3] show that this approach would dramatically improve the performance of VNS for QAP. It surpasses some famous metaheuristics and belongs to the most efficient metaheuristics for QAP.