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Branch-and-bound and PSO algorithms for no-wait job shop scheduling

Author

Listed:
  • Abdelhakim AitZai

    (USTHB University)

  • Brahim Benmedjdoub

    (USTHB University)

  • Mourad Boudhar

    (USTHB University)

Abstract

This paper deals with the no-wait job shop scheduling problem resolution. The problem is to find a schedule to minimize the makespan ( $$C_{max}$$ C m a x ), that is, the total completeness time of all jobs. The no-wait constraint occurs when two consecutive operations in a job must be processed without any waiting time either on or between machines. For this, we have proposed two different resolution methods, the first is an exact method based on the branch-and-bound algorithm, in which we have defined a new technique of branching. The second is a particular swarm optimization (PSO) algorithm, extended from the discrete version of PSO. In the proposed algorithm, we have defined the particle and the velocity structures, and an efficient approach is developed to move a particle to the new position. Moreover, we have adapted the timetabling procedure to find a good solution while respecting the no-wait constraint. Using the PSO method, we have reached good results compared to those in the literature.

Suggested Citation

  • Abdelhakim AitZai & Brahim Benmedjdoub & Mourad Boudhar, 2016. "Branch-and-bound and PSO algorithms for no-wait job shop scheduling," Journal of Intelligent Manufacturing, Springer, vol. 27(3), pages 679-688, June.
    • Handle: RePEc:spr:joinma:v:27:y:2016:i:3:d:10.1007_s10845-014-0906-7
    DOI: 10.1007/s10845-014-0906-7
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    References listed on IDEAS

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    1. Kalczynski, Pawel Jan & Kamburowski, Jerzy, 2007. "On no-wait and no-idle flow shops with makespan criterion," European Journal of Operational Research, Elsevier, vol. 178(3), pages 677-685, May.
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    4. Mascis, Alessandro & Pacciarelli, Dario, 2002. "Job-shop scheduling with blocking and no-wait constraints," European Journal of Operational Research, Elsevier, vol. 143(3), pages 498-517, December.
    5. Abdelhakim AitZai & Mourad Boudhar, 2013. "Parallel branch-and-bound and parallel PSO algorithms for job shop scheduling problem with blocking," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 16(1), pages 14-37.
    6. Carlier, J. & Pinson, E., 1994. "Adjustment of heads and tails for the job-shop problem," European Journal of Operational Research, Elsevier, vol. 78(2), pages 146-161, October.
    7. Kravchenko, Svetlana A., 1998. "A polynomial algorithm for a two-machine no-wait job-shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 106(1), pages 101-107, April.
    8. J. Carlier & E. Pinson, 1989. "An Algorithm for Solving the Job-Shop Problem," Management Science, INFORMS, vol. 35(2), pages 164-176, February.
    9. Abdelhakim AitZai & Brahim Benmedjdoub & Mourad Boudhar, 2012. "A branch and bound and parallel genetic algorithm for the job shop scheduling problem with blocking," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 14(3), pages 343-365.
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    Cited by:

    1. Bin Ji & Shujing Zhang & Samson S. Yu & Binqiao Zhang, 2023. "Mathematical Modeling and A Novel Heuristic Method for Flexible Job-Shop Batch Scheduling Problem with Incompatible Jobs," Sustainability, MDPI, vol. 15(3), pages 1-26, January.
    2. Allahverdi, Ali, 2016. "A survey of scheduling problems with no-wait in process," European Journal of Operational Research, Elsevier, vol. 255(3), pages 665-686.
    3. Abderraouf Maoudj & Brahim Bouzouia & Abdelfetah Hentout & Ahmed Kouider & Redouane Toumi, 2019. "Distributed multi-agent scheduling and control system for robotic flexible assembly cells," Journal of Intelligent Manufacturing, Springer, vol. 30(4), pages 1629-1644, April.
    4. Pei, Jun & Liu, Xinbao & Fan, Wenjuan & Pardalos, Panos M. & Lu, Shaojun, 2019. "A hybrid BA-VNS algorithm for coordinated serial-batching scheduling with deteriorating jobs, financial budget, and resource constraint in multiple manufacturers," Omega, Elsevier, vol. 82(C), pages 55-69.
    5. Baoyu Liao & Xingming Wang & Xing Zhu & Shanlin Yang & Panos M. Pardalos, 2020. "Less is more approach for competing groups scheduling with different learning effects," Journal of Combinatorial Optimization, Springer, vol. 39(1), pages 33-54, January.

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