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An effective heuristic for minimising makespan on unrelated parallel machines

Author

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  • B Srivastava

    (Marquette University)

Abstract

Scheduling independent tasks on unrelated machines is a relatively difficult and challenging problem. In this paper, we develop a tabu search based heuristic for minimising makespan for the above problem that can provide good quality solutions for practical size problems within a reasonable amount of computational time. Our adaptation of this tabu search uses hashing to control the tabu restrictions of the search process and requires fewer critical parameters than many of the common tabu search approaches employed for combinatorial optimisation. Hashing is simple to implement and very effective in providing a near-optimal solution. Computational results are presented to demonstrate the effectiveness of the proposed heuristic.

Suggested Citation

  • B Srivastava, 1998. "An effective heuristic for minimising makespan on unrelated parallel machines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 49(8), pages 886-894, August.
  • Handle: RePEc:pal:jorsoc:v:49:y:1998:i:8:d:10.1057_palgrave.jors.2600547
    DOI: 10.1057/palgrave.jors.2600547
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    Cited by:

    1. Chen, Jiang Hang & Lee, Der-Horng & Cao, Jin Xin, 2011. "Heuristics for quay crane scheduling at indented berth," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1005-1020.
    2. Fanjul-Peyro, Luis & Ruiz, Rubén, 2010. "Iterated greedy local search methods for unrelated parallel machine scheduling," European Journal of Operational Research, Elsevier, vol. 207(1), pages 55-69, November.
    3. Ghirardi, M. & Potts, C. N., 2005. "Makespan minimization for scheduling unrelated parallel machines: A recovering beam search approach," European Journal of Operational Research, Elsevier, vol. 165(2), pages 457-467, September.

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