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Optimal Cyclic Multi-Hoist Scheduling: A Mixed Integer Programming Approach

Author

Listed:
  • Janny M. Y. Leung

    (Systems Engineering and Engineering Management Department, The Chinese University of Hong Kong, Shatin, Hong Kong)

  • Guoqing Zhang

    (Industrial and Manufacturing Systems Engineering Department, University of Windsor, Windsor, Ontario, Canada N9B 3P4)

  • Xiaoguang Yang

    (Key Laboratory of Management, Decision, and Information Systems, Institute of Systems Science, The Chinese Academy of Sciences, Beijing, China)

  • Raymond Mak

    (Planning and Engineering Department, Asia Pacific Division, FedEx Express, Hong Kong)

  • Kokin Lam

    (Division of Commerce, City University of Hong Kong, Kowloon, Hong Kong)

Abstract

In the manufacture of circuit boards, panels are immersed sequentially in a series of tanks, with upper and lower bounds on the processing time within each tank. The panels are mounted on carriers that are lowered into and raised from the tanks, and transported from tank to tank by programmable hoists. The sequence of hoist moves does not have to follow the sequence of processing stages for the circuit boards. By optimising the sequence of hoist moves, we can maximise the production throughput.We consider simple cyclic schedules, where the hoist move sequence repeats every cycle and one panel is completed per cycle. Phillips and Unger (1976) developed the first mixed integer programming model for finding the hoist move schedule to minimise the cycle time for lines with only one hoist. We discuss how their formulation can be tightened, and introduce new valid inequalities. We present the first mixed integer programming formulation for finding the minimum-time cycle for lines with multiple hoists and present valid inequalities for this problem. Some preliminary computational results are also presented.

Suggested Citation

  • Janny M. Y. Leung & Guoqing Zhang & Xiaoguang Yang & Raymond Mak & Kokin Lam, 2004. "Optimal Cyclic Multi-Hoist Scheduling: A Mixed Integer Programming Approach," Operations Research, INFORMS, vol. 52(6), pages 965-976, December.
    • Handle: RePEc:inm:oropre:v:52:y:2004:i:6:p:965-976
    DOI: 10.1287/opre.1040.0144
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    References listed on IDEAS

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    Cited by:

    1. Milind Dawande & Michael Pinedo & Chelliah Sriskandarajah, 2009. "Multiple Part-Type Production in Robotic Cells: Equivalence of Two Real-World Models," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 210-228, February.
    2. Boysen, Nils & Briskorn, Dirk & Meisel, Frank, 2017. "A generalized classification scheme for crane scheduling with interference," European Journal of Operational Research, Elsevier, vol. 258(1), pages 343-357.
    3. Che, Ada & Feng, Jianguang & Chen, Haoxun & Chu, Chengbin, 2015. "Robust optimization for the cyclic hoist scheduling problem," European Journal of Operational Research, Elsevier, vol. 240(3), pages 627-636.
    4. Reinhard Bürgy & Heinz Gröflin, 2016. "The blocking job shop with rail-bound transportation," Journal of Combinatorial Optimization, Springer, vol. 31(1), pages 152-181, January.
    5. Tharanga Rajapakshe & Milind Dawande & Chelliah Sriskandarajah, 2011. "Quantifying the Impact of Layout on Productivity: An Analysis from Robotic-Cell Manufacturing," Operations Research, INFORMS, vol. 59(2), pages 440-454, April.
    6. Xin Li & Richard Y. K. Fung, 2016. "Optimal K-unit cycle scheduling of two-cluster tools with residency constraints and general robot moving times," Journal of Scheduling, Springer, vol. 19(2), pages 165-176, April.
    7. Che, Ada & Chu, Chengbin, 2009. "Multi-degree cyclic scheduling of a no-wait robotic cell with multiple robots," European Journal of Operational Research, Elsevier, vol. 199(1), pages 77-88, November.
    8. Che, Ada & Kats, Vladimir & Levner, Eugene, 2017. "An efficient bicriteria algorithm for stable robotic flow shop scheduling," European Journal of Operational Research, Elsevier, vol. 260(3), pages 964-971.
    9. Boysen, Nils & Briskorn, Dirk & Fedtke, Stefan & Schmickerath, Marcel, 2019. "Automated sortation conveyors: A survey from an operational research perspective," European Journal of Operational Research, Elsevier, vol. 276(3), pages 796-815.

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