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A bi-criteria two-machine flowshop scheduling problem with a learning effect

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  • P Chen

    (Feng Chia University)

  • C-C Wu

    (Feng Chia University)

  • W-C Lee

    (Feng Chia University)

Abstract

This paper addresses a bi-criteria two-machine flowshop scheduling problem when the learning effect is present. The objective is to find a sequence that minimizes a weighted sum of the total completion time and the maximum tardiness. In this article, a branch-and-bound method, incorporating several dominance properties and a lower bound, is presented to search for the exact solution for small job-size problems. In addition, two heuristic algorithms are proposed to overcome the inefficiency of the branch-and-bound algorithm for large job-size problems. Finally, computational results for this problem are provided to evaluate the performance of the proposed algorithms.

Suggested Citation

  • P Chen & C-C Wu & W-C Lee, 2006. "A bi-criteria two-machine flowshop scheduling problem with a learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(9), pages 1113-1125, September.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:9:d:10.1057_palgrave.jors.2602095
    DOI: 10.1057/palgrave.jors.2602095
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    References listed on IDEAS

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    1. Lee, Wen-Chiung & Wu, Chin-Chia, 2004. "Minimizing total completion time in a two-machine flowshop with a learning effect," International Journal of Production Economics, Elsevier, vol. 88(1), pages 85-93, March.
    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. Nagar, Amit & Haddock, Jorge & Heragu, Sunderesh, 1995. "Multiple and bicriteria scheduling: A literature survey," European Journal of Operational Research, Elsevier, vol. 81(1), pages 88-104, February.
    7. Dileepan, P & Sen, T, 1988. "Bicriterion static scheduling research for a single machine," Omega, Elsevier, vol. 16(1), pages 53-59.
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    Cited by:

    1. Bai, Danyu & Tang, Mengqian & Zhang, Zhi-Hai & Santibanez-Gonzalez, Ernesto DR, 2018. "Flow shop learning effect scheduling problem with release dates," Omega, Elsevier, vol. 78(C), pages 21-38.
    2. Janiak, Adam & Janiak, Władysław A. & Krysiak, Tomasz & Kwiatkowski, Tomasz, 2015. "A survey on scheduling problems with due windows," European Journal of Operational Research, Elsevier, vol. 242(2), pages 347-357.
    3. 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.
    4. Biskup, Dirk, 2008. "A state-of-the-art review on scheduling with learning effects," European Journal of Operational Research, Elsevier, vol. 188(2), pages 315-329, July.

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