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Simulation-based optimization for surgery appointment scheduling of multiple operating rooms

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  • Zheng Zhang
  • Xiaolan Xie

Abstract

This study is devoted to the appointment scheduling (AS) for a sequence of surgeries with random durations served by multiple operating rooms (Multi-OR). Surgeries are assigned to ORs dynamically on a first-come, first-serve (FCFS) basis. It materially differs from past literature in the sense that dynamic assignments are proactively anticipated in the determination of appointment times. A discrete-event framework is proposed to model the execution of the surgery schedule and to evaluate the sample path gradient of a total cost incurred by surgeon waiting, OR idling, and OR overtime. The sample path cost function is shown to be unimodal, Lipchitz-continuous, and differentiable w.p.1 and the expected cost function continuously differentiable. A stochastic approximation algorithm based on unbiased gradient estimators is proposed and extensive numerical experiments suggest that it converges to a global optimum. A series of numerical experiments is performed to show the significant benefits of the Multi-OR setting and properties of the optimal solution with respect to various system parameters such as cost structure and numbers of surgeries and ORs.

Suggested Citation

  • Zheng Zhang & Xiaolan Xie, 2015. "Simulation-based optimization for surgery appointment scheduling of multiple operating rooms," IISE Transactions, Taylor & Francis Journals, vol. 47(9), pages 998-1012, September.
  • Handle: RePEc:taf:uiiexx:v:47:y:2015:i:9:p:998-1012
    DOI: 10.1080/0740817X.2014.999900
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    Citations

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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. Pan, Xingwei & Geng, Na & Xie, Xiaolan & Wen, Jing, 2020. "Managing appointments with waiting time targets and random walk-ins," Omega, Elsevier, vol. 95(C).
    3. Tsai, Shing Chih & Yeh, Yingchieh & Kuo, Chen Yun, 2021. "Efficient optimization algorithms for surgical scheduling under uncertainty," European Journal of Operational Research, Elsevier, vol. 293(2), pages 579-593.
    4. Mahdi Noorizadegan & Abbas Seifi, 2018. "An efficient computational method for large scale surgery scheduling problems with chance constraints," Computational Optimization and Applications, Springer, vol. 69(2), pages 535-561, March.
    5. Lu, Yuwei & Xie, Xiaolan & Jiang, Zhibin, 2018. "Dynamic appointment scheduling with wait-dependent abandonment," European Journal of Operational Research, Elsevier, vol. 265(3), pages 975-984.
    6. Haolin Feng & Yiwu Jia & Siyi Zhou & Hongyi Chen & Teng Huang, 2023. "A Dataset of Service Time and Related Patient Characteristics from an Outpatient Clinic," Data, MDPI, vol. 8(3), pages 1-15, February.
    7. Serhat Gul, 2018. "A Stochastic Programming Approach for Appointment Scheduling Under Limited Availability of Surgery Turnover Teams," Service Science, INFORMS, vol. 10(3), pages 277-288, September.
    8. Shuwan Zhu & Wenjuan Fan & Shanlin Yang & Jun Pei & Panos M. Pardalos, 2019. "Operating room planning and surgical case scheduling: a review of literature," Journal of Combinatorial Optimization, Springer, vol. 37(3), pages 757-805, April.
    9. Pan, Xingwei & Geng, Na & Xie, Xiaolan, 2021. "Appointment scheduling and real-time sequencing strategies for patient unpunctuality," European Journal of Operational Research, Elsevier, vol. 295(1), pages 246-260.
    10. Wu, Xueqi & Zhou, Shenghai, 2022. "Sequencing and scheduling appointments on multiple servers with stochastic service durations and customer arrivals," Omega, Elsevier, vol. 106(C).
    11. Huaxin Qiu & Dujuan Wang & Yanzhang Wang & Yunqiang Yin, 2019. "MRI appointment scheduling with uncertain examination time," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 62-82, January.
    12. Çelik, Batuhan & Gul, Serhat & Çelik, Melih, 2023. "A stochastic programming approach to surgery scheduling under parallel processing principle," Omega, Elsevier, vol. 115(C).
    13. Babak Akbarzadeh & Ghasem Moslehi & Mohammad Reisi-Nafchi & Broos Maenhout, 2020. "A diving heuristic for planning and scheduling surgical cases in the operating room department with nurse re-rostering," Journal of Scheduling, Springer, vol. 23(2), pages 265-288, April.

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