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A hybrid genetic algorithm for an identical parallel-machine problem with maintenance activity

Author

Listed:
  • Wen-Chiung Lee

    (Feng Chia University, Taichung, Taiwan (R.O.C.))

  • Jen-Ya Wang

    (Hungkuang University, Taichung, Taiwan (R.O.C.))

  • Lin-Yo Lee

    (Feng Chia University, Taichung, Taiwan (R.O.C.))

Abstract

The scheduling of maintenance activities has been extensively studied, with most studies focusing on single-machine problems. In real-world applications, however, multiple machines or assembly lines process numerous jobs simultaneously. In this paper, we study a parallel-machine scheduling problem in which the objective is to minimize the total tardiness given that there is a maintenance activity on each machine. We develop a branch-and-bound algorithm to solve the problem with a small problem size. In addition, we propose a hybrid genetic algorithm to obtain the approximate solutions when the number of jobs is large. The performance of the proposed algorithms is evaluated based mainly on computational results.

Suggested Citation

  • Wen-Chiung Lee & Jen-Ya Wang & Lin-Yo Lee, 2015. "A hybrid genetic algorithm for an identical parallel-machine problem with maintenance activity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(11), pages 1906-1918, November.
    • Handle: RePEc:pal:jorsoc:v:66:y:2015:i:11:p:1906-1918
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    Citations

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    Cited by:

    1. Geurtsen, M. & Didden, Jeroen B.H.C. & Adan, J. & Atan, Z. & Adan, I., 2023. "Production, maintenance and resource scheduling: A review," European Journal of Operational Research, Elsevier, vol. 305(2), pages 501-529.
    2. Delgado Sobrino Daynier Rolando & Díaz Cazañas Ronald & Ružarovský Roman & Holubek Radovan, 2018. "Integrative Programming of Production and Preventive Maintenance Tasks in an Environment of Identical Parallel Machines: Proposal of a Construction Heuristic," Research Papers Faculty of Materials Science and Technology Slovak University of Technology, Sciendo, vol. 26(42), pages 127-134, June.
    3. Chung-Ho Su & Jen-Ya Wang, 2022. "A Branch-and-Bound Algorithm for Minimizing the Total Tardiness of Multiple Developers," Mathematics, MDPI, vol. 10(7), pages 1-24, April.
    4. Kangzhou Wang & Shulin Lan & Yingxue Zhao, 2017. "A genetic-algorithm-based approach to the two-echelon capacitated vehicle routing problem with stochastic demands in logistics service," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1409-1421, November.
    5. Yang-Kuei Lin & Yin-Yi Chou, 2020. "A hybrid genetic algorithm for operating room scheduling," Health Care Management Science, Springer, vol. 23(2), pages 249-263, June.
    6. Sandeep Kumar & Bhupesh Kumar Lad, 2017. "Integrated production and maintenance planning for parallel machine system considering cost of rejection," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(7), pages 834-846, July.

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