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Applying an Extended Guided Local Search to the Quadratic Assignment Problem

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  • Patrick Mills
  • Edward Tsang
  • John Ford

Abstract

In this paper, we show how an extended Guided Local Search (GLS) can be applied to the Quadratic Assignment Problem (QAP). GLS is a general, penalty-based meta-heuristic, which sits on top of local search algorithms, to help guide them out of local minima. We present empirical results of applying several extended versions of GLS to the QAP, and show that these extensions can improve the range of parameter settings within which Guided Local Search performs well. Finally, we compare the results of running our extended GLS with some state of the art algorithms for the QAP. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • Patrick Mills & Edward Tsang & John Ford, 2003. "Applying an Extended Guided Local Search to the Quadratic Assignment Problem," Annals of Operations Research, Springer, vol. 118(1), pages 121-135, February.
    • Handle: RePEc:spr:annopr:v:118:y:2003:i:1:p:121-135:10.1023/a:1021857607524
    DOI: 10.1023/A:1021857607524
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    Citations

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    Cited by:

    1. Pritibhushan Sinha, 2009. "Assignment problems with changeover cost," Annals of Operations Research, Springer, vol. 172(1), pages 447-457, November.
    2. Edward Tsang & John Ford & Patrick Mills & Richard Bradwell & Richard Williams & Paul Scott, 2007. "Towards a practical engineering tool for rostering," Annals of Operations Research, Springer, vol. 155(1), pages 257-277, November.
    3. Zakir Hussain Ahmed, 2016. "Experimental analysis of crossover and mutation operators on the quadratic assignment problem," Annals of Operations Research, Springer, vol. 247(2), pages 833-851, December.
    4. Jean-François Côté & Michel Gendreau & Jean-Yves Potvin, 2020. "The Vehicle Routing Problem with Stochastic Two-Dimensional Items," Transportation Science, INFORMS, vol. 54(2), pages 453-469, March.
    5. Vansteenwegen, Pieter & Souffriau, Wouter & Berghe, Greet Vanden & Oudheusden, Dirk Van, 2009. "A guided local search metaheuristic for the team orienteering problem," European Journal of Operational Research, Elsevier, vol. 196(1), pages 118-127, July.
    6. Loiola, Eliane Maria & de Abreu, Nair Maria Maia & Boaventura-Netto, Paulo Oswaldo & Hahn, Peter & Querido, Tania, 2007. "A survey for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 657-690, January.
    7. Hani, Y. & Amodeo, L. & Yalaoui, F. & Chen, H., 2007. "Ant colony optimization for solving an industrial layout problem," European Journal of Operational Research, Elsevier, vol. 183(2), pages 633-642, December.

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