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Scheduling surgery groups considering multiple downstream resources

Author

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  • Thomas Schneider, A.J.
  • Theresia van Essen, J.
  • Carlier, Mijke
  • Hans, Erwin W.

Abstract

Surgery groups are clustered surgery procedure types that share comparable characteristics (e.g. expected duration). Scheduling OR blocks leaves many options for operational surgery scheduling and this increases the variation in usage of both the OR and downstream beds. Therefore, we schedule surgery groups to reduce the options for operational scheduling, ultimately bridging the gap between tactical and operational scheduling. We propose a single step mixed integer linear programming (MILP) approach that approximates the bed and OR usage and a simulated annealing approach. Both approaches are compared on a real-life data set and results show that the MILP performs best in terms of solution quality and computation time. Furthermore, the results show that our model may improve the OR utilization from 71% to 85% and decrease the bed usage variation from 53 beds to 11 beds compared to historical data. To show the potential and robustness of our model, we discuss several variants of the model requiring minor modifications. The use of surgery groups makes it easier to implementation our model in practice and, for operational planners, it is instantly clear where to schedule different types of surgery.

Suggested Citation

  • Thomas Schneider, A.J. & Theresia van Essen, J. & Carlier, Mijke & Hans, Erwin W., 2020. "Scheduling surgery groups considering multiple downstream resources," European Journal of Operational Research, Elsevier, vol. 282(2), pages 741-752.
  • Handle: RePEc:eee:ejores:v:282:y:2020:i:2:p:741-752
    DOI: 10.1016/j.ejor.2019.09.029
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    References listed on IDEAS

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    1. Fügener, Andreas & Hans, Erwin W. & Kolisch, Rainer & Kortbeek, Nikky & Vanberkel, Peter T., 2014. "Master surgery scheduling with consideration of multiple downstream units," European Journal of Operational Research, Elsevier, vol. 239(1), pages 227-236.
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    8. Adan, Ivo & Bekkers, Jos & Dellaert, Nico & Jeunet, Jully & Vissers, Jan, 2011. "Improving operational effectiveness of tactical master plans for emergency and elective patients under stochastic demand and capacitated resources," European Journal of Operational Research, Elsevier, vol. 213(1), pages 290-308, August.
    9. Astaraky, Davood & Patrick, Jonathan, 2015. "A simulation based approximate dynamic programming approach to multi-class, multi-resource surgical scheduling," European Journal of Operational Research, Elsevier, vol. 245(1), pages 309-319.
    10. Zakaria Yahia & Amr B. Eltawil & Nermine A. Harraz, 2016. "The operating room case-mix problem under uncertainty and nurses capacity constraints," Health Care Management Science, Springer, vol. 19(4), pages 383-394, December.
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    Cited by:

    1. Akbarzadeh, Babak & Maenhout, Broos, 2024. "A study on policy decisions to embed flexibility for reactive recovery in the planning and scheduling process in operating rooms," Omega, Elsevier, vol. 126(C).
    2. Rachuba, Sebastian & Imhoff, Lisa & Werners, Brigitte, 2022. "Tactical blueprints for surgical weeks – An integrated approach for operating rooms and intensive care units," European Journal of Operational Research, Elsevier, vol. 298(1), pages 243-260.
    3. Aisha Tayyab & Saif Ullah & Mohammed Fazle Baki, 2023. "An Outer Approximation Method for Scheduling Elective Surgeries with Sequence Dependent Setup Times to Multiple Operating Rooms," Mathematics, MDPI, vol. 11(11), pages 1-15, May.
    4. Mariana Oliveira & Filippo Visintin & Daniel Santos & Inês Marques, 2022. "Flexible master surgery scheduling: combining optimization and simulation in a rolling horizon approach," Flexible Services and Manufacturing Journal, Springer, vol. 34(4), pages 824-858, December.
    5. Jian-Jun Wang & Zongli Dai & Wenxuan Zhang & Jim Junmin Shi, 2023. "Operating room scheduling for non-operating room anesthesia with emergency uncertainty," Annals of Operations Research, Springer, vol. 321(1), pages 565-588, February.
    6. 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.
    7. Aringhieri, Roberto & Duma, Davide & Landa, Paolo & Mancini, Simona, 2022. "Combining workload balance and patient priority maximisation in operating room planning through hierarchical multi-objective optimisation," European Journal of Operational Research, Elsevier, vol. 298(2), pages 627-643.
    8. Lien Wang & Erik Demeulemeester & Nancy Vansteenkiste & Frank E. Rademakers, 2022. "On the use of partitioning for scheduling of surgeries in the inpatient surgical department," Health Care Management Science, Springer, vol. 25(4), pages 526-550, December.
    9. Steffen Heider & Jan Schoenfelder & Thomas Koperna & Jens O. Brunner, 2022. "Balancing control and autonomy in master surgery scheduling: Benefits of ICU quotas for recovery units," Health Care Management Science, Springer, vol. 25(2), pages 311-332, June.
    10. Loïc Deklerck & Babak Akbarzadeh & Broos Maenhout, 2022. "Constructing and evaluating a master surgery schedule using a service-level approach," Operational Research, Springer, vol. 22(4), pages 3663-3711, September.
    11. van den Broek d’Obrenan, Anne & Ridder, Ad & Roubos, Dennis & Stougie, Leen, 2020. "Minimizing bed occupancy variance by scheduling patients under uncertainty," European Journal of Operational Research, Elsevier, vol. 286(1), pages 336-349.
    12. Jian-Jun Wang & Zongli Dai & Ai-Chih Chang & Jim Junmin Shi, 2022. "Surgical scheduling by Fuzzy model considering inpatient beds shortage under uncertain surgery durations," Annals of Operations Research, Springer, vol. 315(1), pages 463-505, August.
    13. Wang, Lien & Demeulemeester, Erik & Vansteenkiste, Nancy & Rademakers, Frank E., 2024. "Capacity and surgery partitioning: An approach for improving surgery scheduling in the inpatient surgical department," European Journal of Operational Research, Elsevier, vol. 313(1), pages 112-128.

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