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A Simple Lower Bound For Total Completion Time Minimization In A Two-Machine Flowshop

Author

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  • B. M. T. LIN

    (Department of Information and Finance Management, Institute of Information Management, National Chiao Tung University, Hsinchu, Taiwan 300, R.O.C.)

  • J. M. WU

    (Department of Information Management, National Chi Nan University, Puli, Taiwan 545, R.O.C.)

Abstract

The purpose of this study is to present a simple lower bound to facilitate the development of branch-and-bound algorithms for the minimization of total completion time in a two-machine flowshop. The studied problem is known to be strongly NP-hard. In the literature, several lower bounds have been proposed. The bounding technique addressed in this paper is based upon a concept about rearrangement of the parameters of the input instance. The technique is intrinsically simple for computer implementations. We conduct computational experiments for problems with 10–65 jobs. Numerical results from our computational study indicate that the new scheme is very effective in reducing the execution time needed for composing optimal solutions.

Suggested Citation

  • B. M. T. Lin & J. M. Wu, 2005. "A Simple Lower Bound For Total Completion Time Minimization In A Two-Machine Flowshop," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 22(03), pages 391-407.
    • Handle: RePEc:wsi:apjorx:v:22:y:2005:i:03:n:s0217595905000601
    DOI: 10.1142/S0217595905000601
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    Citations

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    Cited by:

    1. Lin, Bertrand M.T. & Lin, Y.-Y. & Fang, K.-T., 2013. "Two-machine flow shop scheduling of polyurethane foam production," International Journal of Production Economics, Elsevier, vol. 141(1), pages 286-294.
    2. Yen-Shing Tsai & Bertrand M. T. Lin, 2016. "Flow shop non-idle scheduling and resource-constrained scheduling," Annals of Operations Research, Springer, vol. 238(1), pages 577-585, March.
    3. Yen-Shing Tsai & Bertrand Lin, 2016. "Flow shop non-idle scheduling and resource-constrained scheduling," Annals of Operations Research, Springer, vol. 238(1), pages 577-585, March.
    4. Guo-Sheng Liu & Jin-Jin Li & Ying-Si Tang, 2018. "Minimizing Total Idle Energy Consumption in the Permutation Flow Shop Scheduling Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(06), pages 1-19, December.

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