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A faster algorithm for 2-cyclic robotic scheduling with a fixed robot route and interval processing times

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  • Kats, Vladimir
  • Levner, Eugene

Abstract

Consider an m-machine production line for processing identical parts served by a mobile robot. The problem is to find the minimum cycle time for 2-cyclic schedules, in which exactly two parts enter and two parts leave the production line during each cycle. This work treats a special case of the 2-cyclic robot scheduling problem when the robot route is given and the operation durations are to be chosen from prescribed intervals. The problem was previously proved to be polynomially solvable in O(m8log m) time. This paper proposes an improved algorithm with reduced complexity O(m4).

Suggested Citation

  • Kats, Vladimir & Levner, Eugene, 2011. "A faster algorithm for 2-cyclic robotic scheduling with a fixed robot route and interval processing times," European Journal of Operational Research, Elsevier, vol. 209(1), pages 51-56, February.
    • Handle: RePEc:eee:ejores:v:209:y:2011:i:1:p:51-56
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    References listed on IDEAS

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    1. 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.
    2. Che, Ada & Chu, Chengbin & Levner, Eugene, 2003. "A polynomial algorithm for 2-degree cyclic robot scheduling," European Journal of Operational Research, Elsevier, vol. 145(1), pages 31-44, February.
    3. 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.
    4. Kats, Vladimir & Lei, Lei & Levner, Eugene, 2008. "Minimizing the cycle time of multiple-product processing networks with a fixed operation sequence, setups, and time-window constraints," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1196-1211, June.
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    Cited by:

    1. Hanen, Claire & Hanzalek, Zdenek, 2020. "Grouping tasks to save energy in a cyclic scheduling problem: A complexity study," European Journal of Operational Research, Elsevier, vol. 284(2), pages 445-459.
    2. Marie-Laure Espinouse & Grzegorz Pawlak & Malgorzata Sterna, 2017. "Complexity of Scheduling Problem in Single-Machine Flexible Manufacturing System with Cyclic Transportation and Unlimited Buffers," Journal of Optimization Theory and Applications, Springer, vol. 173(3), pages 1042-1054, June.
    3. 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.
    4. Dalila B. M. M. Fontes & Seyed Mahdi Homayouni, 2019. "Joint production and transportation scheduling in flexible manufacturing systems," Journal of Global Optimization, Springer, vol. 74(4), pages 879-908, August.
    5. Hyun-Jung Kim & Jun-Ho Lee, 2021. "Cyclic robot scheduling for 3D printer-based flexible assembly systems," Annals of Operations Research, Springer, vol. 298(1), pages 339-359, March.
    6. 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.
    7. 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.

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