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A note on the total completion time problem in a permutation flowshop with a learning effect

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  • Wu, Chin-Chia
  • Lee, Wen-Chiung

Abstract

The concept of learning process plays a key role in production environments. However, it is relatively unexplored in the flowshop setting. In this short note, we consider a permutation flowshop scheduling problem with a learning effect where the objective is to minimize the sum of completion times or flowtime. A dominance rule and several lower bounds are established to speed up the search for the optimal solution. In addition, the performances of several well-known heuristics are evaluated when the learning effect is present.

Suggested Citation

  • Wu, Chin-Chia & Lee, Wen-Chiung, 2009. "A note on the total completion time problem in a permutation flowshop with a learning effect," European Journal of Operational Research, Elsevier, vol. 192(1), pages 343-347, January.
    • Handle: RePEc:eee:ejores:v:192:y:2009:i:1:p:343-347
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    References listed on IDEAS

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    1. J-B Wang & Z-Q Xia, 2005. "Flow-shop scheduling with a learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(11), pages 1325-1330, November.
    2. Biskup, Dirk, 1999. "Single-machine scheduling with learning considerations," European Journal of Operational Research, Elsevier, vol. 115(1), pages 173-178, May.
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    6. Rajendran, Chandrasekharan & Ziegler, Hans, 1997. "An efficient heuristic for scheduling in a flowshop to minimize total weighted flowtime of jobs," European Journal of Operational Research, Elsevier, vol. 103(1), pages 129-138, November.
    7. Chung, Chia-Shin & Flynn, James & Kirca, Omer, 2002. "A branch and bound algorithm to minimize the total flow time for m-machine permutation flowshop problems," International Journal of Production Economics, Elsevier, vol. 79(3), pages 185-196, October.
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    Cited by:

    1. Radosław Rudek, 2017. "Parallel machine scheduling with general sum of processing time based models," Journal of Global Optimization, Springer, vol. 68(4), pages 799-814, August.
    2. Lee, Wen-Chiung & Chung, Yu-Hsiang, 2013. "Permutation flowshop scheduling to minimize the total tardiness with learning effects," International Journal of Production Economics, Elsevier, vol. 141(1), pages 327-334.
    3. Lin-Hui Sun & Kai Cui & Ju-Hong Chen & Jun Wang & Xian-Chen He, 2013. "Research on permutation flow shop scheduling problems with general position-dependent learning effects," Annals of Operations Research, Springer, vol. 211(1), pages 473-480, December.
    4. Cheng, T.C.E. & Wu, Chin-Chia & Chen, Juei-Chao & Wu, Wen-Hsiang & Cheng, Shuenn-Ren, 2013. "Two-machine flowshop scheduling with a truncated learning function to minimize the makespan," International Journal of Production Economics, Elsevier, vol. 141(1), pages 79-86.
    5. Lee, Wen-Chiung & Wu, Chin-Chia & Hsu, Peng-Hsiang, 2010. "A single-machine learning effect scheduling problem with release times," Omega, Elsevier, vol. 38(1-2), pages 3-11, February.
    6. Dar-Li Yang & Wen-Hung Kuo, 2009. "Single-machine scheduling with both deterioration and learning effects," Annals of Operations Research, Springer, vol. 172(1), pages 315-327, November.

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