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Dynamic three-stage operating room scheduling considering patient waiting time and surgical overtime costs

Author

Listed:
  • Shuwan Zhu

    (Hefei University of Technology
    Key Laboratory of Process Optimization and Intelligent Decision-making of Ministry of Education)

  • Wenjuan Fan

    (Hefei University of Technology
    Key Laboratory of Process Optimization and Intelligent Decision-making of Ministry of Education)

  • Tongzhu Liu

    (The First Affiliated Hospital of University of Science and Technology of China)

  • Shanlin Yang

    (Hefei University of Technology
    Key Laboratory of Process Optimization and Intelligent Decision-making of Ministry of Education)

  • Panos M. Pardalos

    (University of Florida)

Abstract

In this paper, we study a dynamic operating room scheduling problem which consists of three stages. The problem simultaneously tackles the capacity allocation of operating rooms to each specialty, assignment of operating rooms to surgeons, assignment and sequence of patients. To lower the total costs of operating rooms from both sides of patients and operating rooms, a mathematical model is proposed with objective of minimizing the patient waiting costs and operating room overtime costs. Some structural properties of the studied problem are proposed, and two heuristic algorithms are presented to solve the patient assignment problem based on these structural properties. The studied operating room scheduling problem is proved to be NP-hard, and a hybrid GWO-VNS algorithm combining Grey Wolf Optimizer (GWO) with Variable Neighbourhood Search (VNS) is developed to obtain a good solution, where the heuristic algorithms are incorporated. Finally, computational experiments are conducted to test the efficiency, stability, and convergence speed of the proposed algorithm and compared with other mainstream algorithms. The results show that our proposed algorithm outperforms the compared algorithms.

Suggested Citation

  • Shuwan Zhu & Wenjuan Fan & Tongzhu Liu & Shanlin Yang & Panos M. Pardalos, 2020. "Dynamic three-stage operating room scheduling considering patient waiting time and surgical overtime costs," Journal of Combinatorial Optimization, Springer, vol. 39(1), pages 185-215, January.
    • Handle: RePEc:spr:jcomop:v:39:y:2020:i:1:d:10.1007_s10878-019-00463-5
    DOI: 10.1007/s10878-019-00463-5
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    References listed on IDEAS

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    Cited by:

    1. Sean Harris & David Claudio, 2022. "Current Trends in Operating Room Scheduling 2015 to 2020: a Literature Review," SN Operations Research Forum, Springer, vol. 3(1), pages 1-42, March.
    2. Belinda Spratt & Erhan Kozan, 2021. "An integrated rolling horizon approach to increase operating theatre efficiency," Journal of Scheduling, Springer, vol. 24(1), pages 3-25, February.
    3. Shao, Kaining & Fan, Wenjuan & Lan, Shaowen & Kong, Min & Yang, Shanlin, 2023. "A column generation-based heuristic for brachytherapy patient scheduling with multiple treatment sessions considering radioactive source decay and time constraints," Omega, Elsevier, vol. 118(C).
    4. Jing Zhou, 2023. "Airline capacity distribution under financial budget and resource consideration," Journal of Combinatorial Optimization, Springer, vol. 45(5), pages 1-29, July.

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