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Two-machine flowshop scheduling with three-operation jobs subject to a fixed job sequence

Author

Listed:
  • Bertrand M. T. Lin

    (National Chiao Tung University)

  • F. J. Hwang

    (University of Technology Sydney)

  • Jatinder N. D. Gupta

    (The University of Alabama in Huntsville)

Abstract

This paper studies the problem of scheduling three-operation jobs in a two-machine flowshop subject to a predetermined job processing sequence. Each job has two preassigned operations, which are to be performed on their respective dedicated machines, and a flexible operation, which may be processed on either of the two machines subject to the processing order as specified. Five standard objective functions, including the makespan, the maximum lateness, the total weighted completion time, the total weighted tardiness, and the weighted number of tardy jobs are considered. We show that the studied problem for either of the five considered objective functions is ordinary NP-hard, even if the processing times of the preassigned operations are zero for all jobs. A pseudo-polynomial time dynamic programming framework, coupled with brief numerical experiments, is then developed for all the addressed performance metrics with different run times.

Suggested Citation

  • Bertrand M. T. Lin & F. J. Hwang & Jatinder N. D. Gupta, 2017. "Two-machine flowshop scheduling with three-operation jobs subject to a fixed job sequence," Journal of Scheduling, Springer, vol. 20(3), pages 293-302, June.
    • Handle: RePEc:spr:jsched:v:20:y:2017:i:3:d:10.1007_s10951-016-0493-x
    DOI: 10.1007/s10951-016-0493-x
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    References listed on IDEAS

    as
    1. F. Hwang & M. Kovalyov & B. Lin, 2014. "Scheduling for fabrication and assembly in a two-machine flowshop with a fixed job sequence," Annals of Operations Research, Springer, vol. 217(1), pages 263-279, June.
    2. Jatinder Gupta & Christos Koulamas & George Kyparisis & Chris Potts & Vitaly Strusevich, 2004. "Scheduling Three-Operation Jobs in a Two-Machine Flow Shop to Minimize Makespan," Annals of Operations Research, Springer, vol. 129(1), pages 171-185, July.
    3. Gultekin, Hakan, 2012. "Scheduling in flowshops with flexible operations: Throughput optimization and benefits of flexibility," International Journal of Production Economics, Elsevier, vol. 140(2), pages 900-911.
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