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Scheduling multiple robots in a no-wait re-entrant robotic flowshop

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  • Che, Ada
  • Chabrol, Michelle
  • Gourgand, Michel
  • Wang, Yuan

Abstract

No-wait re-entrant robotic flowshops are widely used in the electronic industry, such as PCB and semiconductor manufacturing. In such an industry, cyclic production policy is often used due to large lot size and simplicity of implementation. This paper addresses cyclic scheduling of a no-wait re-entrant robotic flowshop with multiple robots for material handling. We formulate the problem and propose a polynomial algorithm to find the minimum number of robots for all feasible cycle times. Consequently, the minimum cycle time for any given number of robots can be obtained with the proposed algorithm. The algorithm runs in O(N5) time in the worst case, where N is the number of machines in the robotic flowshop.

Suggested Citation

  • Che, Ada & Chabrol, Michelle & Gourgand, Michel & Wang, Yuan, 2012. "Scheduling multiple robots in a no-wait re-entrant robotic flowshop," International Journal of Production Economics, Elsevier, vol. 135(1), pages 199-208.
    • Handle: RePEc:eee:proeco:v:135:y:2012:i:1:p:199-208
    DOI: 10.1016/j.ijpe.2011.07.008
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    References listed on IDEAS

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    1. SubaI, Corinne & Baptiste, Pierre & Niel, Eric, 2006. "Scheduling issues for environmentally responsible manufacturing: The case of hoist scheduling in an electroplating line," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 74-87, February.
    2. Sun, T. C. & Lai, K. K. & Lam, Kokin & So, K. P., 1994. "A study of heuristics for bidirectional multi-hoist production scheduling systems," International Journal of Production Economics, Elsevier, vol. 33(1-3), pages 207-214, January.
    3. Milind W. Dawande & H. Neil Geismar & Suresh P. Sethi & Chelliah Sriskandarajah, 2007. "Throughput Optimization in Robotic Cells," International Series in Operations Research and Management Science, Springer, number 978-0-387-70988-8, September.
    4. Vladimir Kats & Eugene Levner, 1997. "Minimizing the number of robots to meet a given cyclic schedule," Annals of Operations Research, Springer, vol. 69(0), pages 209-226, January.
    5. Tseng, Lin-Yu & Lin, Ya-Tai, 2010. "A genetic local search algorithm for minimizing total flowtime in the permutation flowshop scheduling problem," International Journal of Production Economics, Elsevier, vol. 127(1), pages 121-128, September.
    6. Lee, Wen-Chiung & Shiau, Yau-Ren & Chen, Shiuan-Kang & Wu, Chin-Chia, 2010. "A two-machine flowshop scheduling problem with deteriorating jobs and blocking," International Journal of Production Economics, Elsevier, vol. 124(1), pages 188-197, March.
    7. Paul, Henrik J. & Bierwirth, Christian & Kopfer, Herbert, 2007. "A heuristic scheduling procedure for multi-item hoist production lines," International Journal of Production Economics, Elsevier, vol. 105(1), pages 54-69, January.
    8. Y. Crama & V. Kats & J. van de Klundert & E. Levner, 2000. "Cyclic scheduling in robotic flowshops," Annals of Operations Research, Springer, vol. 96(1), pages 97-124, November.
    9. Agnetis, A., 2000. "Scheduling no-wait robotic cells with two and three machines," European Journal of Operational Research, Elsevier, vol. 123(2), pages 303-314, June.
    10. Jiyin Liu & Yun Jiang, 2005. "An Efficient Optimal Solution to the Two-Hoist No-Wait Cyclic Scheduling Problem," Operations Research, INFORMS, vol. 53(2), pages 313-327, April.
    11. Levner, Eugene & Kats, Vladimir & Levit, Vadim E., 1997. "An improved algorithm for cyclic flowshop scheduling in a robotic cell," European Journal of Operational Research, Elsevier, vol. 97(3), pages 500-508, March.
    12. Tseng, Lin-Yu & Lin, Ya-Tai, 2010. "A hybrid genetic algorithm for no-wait flowshop scheduling problem," International Journal of Production Economics, Elsevier, vol. 128(1), pages 144-152, November.
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    Cited by:

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    3. Fatemi-Anaraki, Soroush & Tavakkoli-Moghaddam, Reza & Foumani, Mehdi & Vahedi-Nouri, Behdin, 2023. "Scheduling of Multi-Robot Job Shop Systems in Dynamic Environments: Mixed-Integer Linear Programming and Constraint Programming Approaches," Omega, Elsevier, vol. 115(C).

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