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Two-stage hybrid flowshop scheduling with simultaneous processing machines

Author

Listed:
  • Bailin Wang

    (University of Science and Technology Beijing
    Ministry of Education)

  • Kai Huang

    (McMaster University)

  • Tieke Li

    (University of Science and Technology Beijing
    Ministry of Education)

Abstract

Simultaneous processing machines, common in processing industries such as steel and food production, can process several jobs simultaneously in the first-in, first-out manner. However, they are often highly energy-consuming. In this paper, we study a new two-stage hybrid flowshop scheduling problem, with simultaneous processing machines at the first stage and a single no-idle machine with predetermined job sequence at the second stage. A mixed integer programming model is proposed with the objective of minimizing the total processing time to reduce energy consumption and improve production efficiency. We give a sufficient and necessary condition to construct feasible sequencing solutions and present an effective approach to calculate the time variables for a feasible sequencing solution. Based on these results, we design a list scheduling heuristic algorithm and its improvement. Both heuristics can find an optimal solution under certain conditions with complexity O(nlogn), where n is the number of jobs. Our experiments verify the efficiency of these heuristics compared with classical heuristics in the literature and investigate the impacts of problem size and processing times.

Suggested Citation

  • Bailin Wang & Kai Huang & Tieke Li, 2018. "Two-stage hybrid flowshop scheduling with simultaneous processing machines," Journal of Scheduling, Springer, vol. 21(4), pages 387-411, August.
    • Handle: RePEc:spr:jsched:v:21:y:2018:i:4:d:10.1007_s10951-017-0545-x
    DOI: 10.1007/s10951-017-0545-x
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    References listed on IDEAS

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    1. Hamilton Emmons & George Vairaktarakis, 2013. "The Hybrid Flow Shop," International Series in Operations Research & Management Science, in: Flow Shop Scheduling, edition 127, chapter 0, pages 161-187, Springer.
    2. Hamilton Emmons & George Vairaktarakis, 2013. "Flow Shop Scheduling," International Series in Operations Research and Management Science, Springer, edition 127, number 978-1-4614-5152-5, September.
    3. Ruiz, Rubén & Vázquez-Rodríguez, José Antonio, 2010. "The hybrid flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 205(1), pages 1-18, August.
    4. Lixin Tang & Huizhi Ren & Yang Yang, 2015. "Reheat furnace scheduling with energy consideration," International Journal of Production Research, Taylor & Francis Journals, vol. 53(6), pages 1642-1660, March.
    5. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    6. Goncharov, Yaroslav & Sevastyanov, Sergey, 2009. "The flow shop problem with no-idle constraints: A review and approximation," European Journal of Operational Research, Elsevier, vol. 196(2), pages 450-456, July.
    Full references (including those not matched with items on IDEAS)

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