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A new algorithm for minimizing makespan, C max, in blocking flow-shop problem through slowing down the operations

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  • I N Kamal Abadi

    (University of Kurdistan)

Abstract

In this paper, a new algorithm with complexity O(nm 2) is presented, which finds the optimal makespan, C max, for a blocking flow-shop problem by slowing down the operations of a no-wait flow-shop problem, F m ∣no-wait∣C max, for a given sequence where restriction on the slowing down is committed. However, the problem with performance measure makespan, C max, in a non-cyclic environment, is a special case of cyclic problem with cycle time, C t , as its performance measure. This new algorithm is much faster than the previously developed algorithms for cyclical scheduling problems.

Suggested Citation

  • I N Kamal Abadi, 2007. "A new algorithm for minimizing makespan, C max, in blocking flow-shop problem through slowing down the operations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 134-140, January.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:1:d:10.1057_palgrave.jors.2602099
    DOI: 10.1057/palgrave.jors.2602099
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    References listed on IDEAS

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    1. S. Thomas McCormick & Michael L. Pinedo & Scott Shenker & Barry Wolf, 1989. "Sequencing in an Assembly Line with Blocking to Minimize Cycle Time," Operations Research, INFORMS, vol. 37(6), pages 925-935, December.
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    3. I.N. Kamal Abadi & Nicholas G. Hall & Chelliah Sriskandarajah, 2000. "Minimizing Cycle Time in a Blocking Flowshop," Operations Research, INFORMS, vol. 48(1), pages 177-180, February.
    4. Ravindra K. Ahuja & James B. Orlin & Giovanni M. Sechi & Paola Zuddas, 1999. "Algorithms for the Simple Equal Flow Problem," Management Science, INFORMS, vol. 45(10), pages 1440-1455, October.
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