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Comparing resource balancing criteria in master surgical scheduling: A combined optimisation-simulation approach

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  • Cappanera, Paola
  • Visintin, Filippo
  • Banditori, Carlo

Abstract

This study compares three different scheduling policies in the Master Surgical Scheduling context with respect to three performance criteria: efficiency, i.e. the capability of scheduling a large number of surgeries; balancing, i.e. the capability to distribute workload fairly among the resources involved in surgical activities; and robustness, i.e. the capability to prevent schedule disruptions caused by variability of surgical time and length of stay. We develop a mixed-integer programming model and compare three objective functions, each corresponding to a different scheduling policy. All the policies maximise the number of scheduled surgeries and balance the utilisation of post-surgical beds and operating rooms. However, they implement a different balancing criterion. To assess the robustness of the schedules produced by the optimisation model, we used a discrete event simulation model that samples surgical times and length of stay from a probability distribution and keeps track of schedule disruptions that may occur. The work is based on real data from the Meyer University Children׳s Hospital in Florence. It comprises an experimental campaign that extends to 27 hospital settings and uses both empirical and theoretical probability distributions. Overall, the study reveals that none of the investigated policies allows superior performance in terms of efficiency, balancing and robustness to be achieved concurrently. However, depending on the hospital management׳s priorities and needs, it is always possible to identify a policy that allows for a reasonable trade-off among these performance criteria. In addition, the study reveals the causal mechanisms that, under certain circumstances, make certain balancing criteria perform better than the others.

Suggested Citation

  • Cappanera, Paola & Visintin, Filippo & Banditori, Carlo, 2014. "Comparing resource balancing criteria in master surgical scheduling: A combined optimisation-simulation approach," International Journal of Production Economics, Elsevier, vol. 158(C), pages 179-196.
  • Handle: RePEc:eee:proeco:v:158:y:2014:i:c:p:179-196
    DOI: 10.1016/j.ijpe.2014.08.002
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    1. 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.
    2. Kumar, Ashwani & Costa, Alysson M. & Fackrell, Mark & Taylor, Peter G., 2018. "A sequential stochastic mixed integer programming model for tactical master surgery scheduling," European Journal of Operational Research, Elsevier, vol. 270(2), pages 734-746.
    3. 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.
    4. 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.
    5. 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.
    6. Kamran Kianfar & Arezoo Atighehchian, 2023. "A hybrid heuristic approach to master surgery scheduling with downstream resource constraints and dividable operating room blocks," Annals of Operations Research, Springer, vol. 328(1), pages 727-754, September.
    7. Şeyda Gür & Tamer Eren & Hacı Mehmet Alakaş, 2019. "Surgical Operation Scheduling with Goal Programming and Constraint Programming: A Case Study," Mathematics, MDPI, vol. 7(3), pages 1-24, March.
    8. 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.
    9. Paola Cappanera & Filippo Visintin & Carlo Banditori, 2018. "Addressing conflicting stakeholders’ priorities in surgical scheduling by goal programming," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 252-271, June.
    10. Bovim, Thomas Reiten & Christiansen, Marielle & Gullhav, Anders N. & Range, Troels Martin & Hellemo, Lars, 2020. "Stochastic master surgery scheduling," European Journal of Operational Research, Elsevier, vol. 285(2), pages 695-711.
    11. 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.
    12. Michael Samudra & Carla Van Riet & Erik Demeulemeester & Brecht Cardoen & Nancy Vansteenkiste & Frank E. Rademakers, 2016. "Scheduling operating rooms: achievements, challenges and pitfalls," Journal of Scheduling, Springer, vol. 19(5), pages 493-525, October.
    13. Duma, Davide & Aringhieri, Roberto, 2019. "The management of non-elective patients: shared vs. dedicated policies," Omega, Elsevier, vol. 83(C), pages 199-212.
    14. 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.
    15. Stock, Gregory N. & McDermott, Christopher & Anand, Gopesh, 2016. "Average surgeon-level volume and hospital performance," International Journal of Production Economics, Elsevier, vol. 182(C), pages 253-262.
    16. Burdett, Robert L. & Kozan, Erhan, 2018. "An integrated approach for scheduling health care activities in a hospital," European Journal of Operational Research, Elsevier, vol. 264(2), pages 756-773.
    17. Koppka, Lisa & Wiesche, Lara & Schacht, Matthias & Werners, Brigitte, 2018. "Optimal distribution of operating hours over operating rooms using probabilities," European Journal of Operational Research, Elsevier, vol. 267(3), pages 1156-1171.
    18. Riccardo Aldrighetti & Ilenia Zennaro & Serena Finco & Daria Battini, 2019. "Healthcare Supply Chain Simulation with Disruption Considerations: A Case Study from Northern Italy," Global Journal of Flexible Systems Management, Springer;Global Institute of Flexible Systems Management, vol. 20(1), pages 81-102, December.

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