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Flow shop non-idle scheduling and resource-constrained scheduling

Author

Listed:
  • Yen-Shing Tsai

    (National Chiao Tung University
    National United University)

  • Bertrand M. T. Lin

    (National Chiao Tung University)

Abstract

In a two-machine flow shop, the problem seeks to select and schedule jobs such that the processing of the selected jobs does not contain any idle time. The objective is to maximize the number of selected jobs. The problem is studied in the context of a resource-constrained scheduling problem. An $$O(n^2)$$ O ( n 2 ) dynamic programming algorithm is proposed. The problem becomes ordinary NP-hard when job weights are introduced. A heuristic is designed and its performance ratio is analysed to be 3.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:238:y:2016:i:1:d:10.1007_s10479-015-2070-7
    DOI: 10.1007/s10479-015-2070-7
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    References listed on IDEAS

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    1. E H Kaplan, 1986. "Relocation Models for Public Housing Redevelopment Programs," Environment and Planning B, , vol. 13(1), pages 5-19, March.
    2. 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.
    3. Edward Ignall & Linus Schrage, 1965. "Application of the Branch and Bound Technique to Some Flow-Shop Scheduling Problems," Operations Research, INFORMS, vol. 13(3), pages 400-412, June.
    4. Kaplan, Edward H. & Amir, Amihood, 1988. "A fast feasibility test for relocation problems," European Journal of Operational Research, Elsevier, vol. 35(2), pages 201-206, May.
    5. Della Croce, F. & Narayan, V. & Tadei, R., 1996. "The two-machine total completion time flow shop problem," European Journal of Operational Research, Elsevier, vol. 90(2), pages 227-237, April.
    6. M. R. Garey & D. S. Johnson & Ravi Sethi, 1976. "The Complexity of Flowshop and Jobshop Scheduling," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 117-129, May.
    7. Della Croce, F. & Ghirardi, M. & Tadei, R., 2002. "An improved branch-and-bound algorithm for the two machine total completion time flow shop problem," European Journal of Operational Research, Elsevier, vol. 139(2), pages 293-301, June.
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