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Ant colonies for the quadratic assignment problem

Author

Listed:
  • L M Gambardella

    (IDSIA, Lugano)

  • É D Taillard

    (IDSIA, Lugano)

  • M Dorigo

    (IRIDIA, UniversitÉ Libre de Bruxelles)

Abstract

This paper presents HAS–QAP, a hybrid ant colony system coupled with a local search, applied to the quadratic assignment problem. HAS–QAP uses pheromone trail information to perform modifications on QAP solutions, unlike more traditional ant systems that use pheromone trail information to construct complete solutions. HAS–QAP is analysed and compared with some of the best heuristics available for the QAP: two versions of tabu search, namely, robust and reactive tabu search, hybrid genetic algorithm, and a simulated annealing method. Experimental results show that HAS–QAP and the hybrid genetic algorithm perform best on real world, irregular and structured problems due to their ability to find the structure of good solutions, while HAS–QAP performance is less competitive on random, regular and unstructured problems.

Suggested Citation

  • L M Gambardella & É D Taillard & M Dorigo, 1999. "Ant colonies for the quadratic assignment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(2), pages 167-176, February.
    • Handle: RePEc:pal:jorsoc:v:50:y:1999:i:2:d:10.1057_palgrave.jors.2600676
    DOI: 10.1057/palgrave.jors.2600676
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    Citations

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    Cited by:

    1. Michel Gendreau & Jean-Yves Potvin, 2005. "Metaheuristics in Combinatorial Optimization," Annals of Operations Research, Springer, vol. 140(1), pages 189-213, November.
    2. Lin, B.M.T. & Lu, C.Y. & Shyu, S.J. & Tsai, C.Y., 2008. "Development of new features of ant colony optimization for flowshop scheduling," International Journal of Production Economics, Elsevier, vol. 112(2), pages 742-755, April.
    3. Yu-Hsin Chen, Gary, 2013. "A new data structure of solution representation in hybrid ant colony optimization for large dynamic facility layout problems," International Journal of Production Economics, Elsevier, vol. 142(2), pages 362-371.
    4. Paquete, Luis & Stutzle, Thomas, 2006. "A study of stochastic local search algorithms for the biobjective QAP with correlated flow matrices," European Journal of Operational Research, Elsevier, vol. 169(3), pages 943-959, March.
    5. Ali Gharaei & Fariborz Jolai, 2021. "A Pareto approach for the multi-factory supply chain scheduling and distribution problem," Operational Research, Springer, vol. 21(4), pages 2333-2364, December.
    6. Sharma Vikas K. & Agarwal Manju & Sen Kanwar, 2010. "Optimal Structure in Heterogeneous Multi-state Series-parallel Reliability Systems," Stochastics and Quality Control, De Gruyter, vol. 25(1), pages 127-150, January.
    7. Nahas, Nabil & Nourelfath, Mustapha & Ait-Kadi, Daoud, 2007. "Coupling ant colony and the degraded ceiling algorithm for the redundancy allocation problem of series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 92(2), pages 211-222.
    8. K A Dowsland & J M Thompson, 2005. "Ant colony optimization for the examination scheduling problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 426-438, April.
    9. Jean-François Cordeau & Manlio Gaudioso & Gilbert Laporte & Luigi Moccia, 2006. "A Memetic Heuristic for the Generalized Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 18(4), pages 433-443, November.
    10. T. G. Pradeepmon & Vinay V. Panicker & R. Sridharan, 2021. "A variable neighbourhood search enhanced estimation of distribution algorithm for quadratic assignment problems," OPSEARCH, Springer;Operational Research Society of India, vol. 58(1), pages 203-233, March.
    11. Mario Inostroza-Ponta & Regina Berretta & Pablo Moscato, 2011. "QAPgrid: A Two Level QAP-Based Approach for Large-Scale Data Analysis and Visualization," PLOS ONE, Public Library of Science, vol. 6(1), pages 1-18, January.
    12. Zvi Drezner & Peter Hahn & Éeric Taillard, 2005. "Recent Advances for the Quadratic Assignment Problem with Special Emphasis on Instances that are Difficult for Meta-Heuristic Methods," Annals of Operations Research, Springer, vol. 139(1), pages 65-94, October.
    13. J Levine & F Ducatelle, 2004. "Ant colony optimization and local search for bin packing and cutting stock problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(7), pages 705-716, July.
    14. Luca Maria Gambardella & Marco Dorigo, 2000. "An Ant Colony System Hybridized with a New Local Search for the Sequential Ordering Problem," INFORMS Journal on Computing, INFORMS, vol. 12(3), pages 237-255, August.
    15. Stutzle, Thomas, 2006. "Iterated local search for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1519-1539, November.
    16. Donati, Alberto V. & Montemanni, Roberto & Casagrande, Norman & Rizzoli, Andrea E. & Gambardella, Luca M., 2008. "Time dependent vehicle routing problem with a multi ant colony system," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1174-1191, March.
    17. Taillard, Eric D. & Gambardella, Luca M. & Gendreau, Michel & Potvin, Jean-Yves, 2001. "Adaptive memory programming: A unified view of metaheuristics," European Journal of Operational Research, Elsevier, vol. 135(1), pages 1-16, November.
    18. Solnon, Christine, 2008. "Combining two pheromone structures for solving the car sequencing problem with Ant Colony Optimization," European Journal of Operational Research, Elsevier, vol. 191(3), pages 1043-1055, December.
    19. C Gagné & M Gravel & S Morin & W L Price, 2008. "Impact of the pheromone trail on the performance of ACO algorithms for solving the car-sequencing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(8), pages 1077-1090, August.
    20. E A Silver, 2004. "An overview of heuristic solution methods," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(9), pages 936-956, September.
    21. Zvi Drezner, 2003. "A New Genetic Algorithm for the Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 320-330, August.

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