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A decomposition approach for the combined master surgical schedule and surgical case assignment problems

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  • Alessandro Agnetis
  • Alberto Coppi
  • Matteo Corsini
  • Gabriella Dellino
  • Carlo Meloni
  • Marco Pranzo

Abstract

This research aims at supporting hospital management in making prompt Operating Room (OR) planning decisions, when either unpredicted events occur or alternative scenarios or configurations need to be rapidly evaluated. We design and test a planning tool enabling managers to efficiently analyse several alternatives to the current OR planning and scheduling. To this aim, we propose a decomposition approach. More specifically, we first focus on determining the Master Surgical Schedule (MSS) on a weekly basis, by assigning the different surgical disciplines to the available sessions. Next, we allocate surgeries to each session, focusing on elective patients only. Patients are selected from the waiting lists according to several parameters, including surgery duration, waiting time and priority class of the operations. We performed computational experiments to compare the performance of our decomposition approach with an (exact) integrated approach. The case study selected for our simulations is based on the characteristics of the operating theatre (OT) of a medium-size public Italian hospital. Scalability of the method is tested for different OT sizes. A pilot example is also proposed to highlight the usefulness of our approach for decision support. The proposed decomposition approach finds satisfactory solutions with significant savings in computation time. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Alessandro Agnetis & Alberto Coppi & Matteo Corsini & Gabriella Dellino & Carlo Meloni & Marco Pranzo, 2014. "A decomposition approach for the combined master surgical schedule and surgical case assignment problems," Health Care Management Science, Springer, vol. 17(1), pages 49-59, March.
    • Handle: RePEc:kap:hcarem:v:17:y:2014:i:1:p:49-59
    DOI: 10.1007/s10729-013-9244-0
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    6. Pham, Dinh-Nguyen & Klinkert, Andreas, 2008. "Surgical case scheduling as a generalized job shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1011-1025, March.
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    9. Cardoen, Brecht & Demeulemeester, Erik & Beliën, Jeroen, 2010. "Operating room planning and scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 201(3), pages 921-932, March.
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    Cited by:

    1. 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.
    2. Anjomshoa, Hamideh & Dumitrescu, Irina & Lustig, Irvin & Smith, Olivia J., 2018. "An exact approach for tactical planning and patient selection for elective surgeries," European Journal of Operational Research, Elsevier, vol. 268(2), pages 728-739.
    3. 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.
    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. 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.
    6. 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.
    7. 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.
    8. 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).
    9. Penn, M.L. & Potts, C.N. & Harper, P.R., 2017. "Multiple criteria mixed-integer programming for incorporating multiple factors into the development of master operating theatre timetables," European Journal of Operational Research, Elsevier, vol. 262(1), pages 194-206.
    10. Omolbanin Mashkani & Andreas T. Ernst & Dhananjay Thiruvady & Hanyu Gu, 2023. "Minimizing patients total clinical condition deterioration in operating theatre departments," Annals of Operations Research, Springer, vol. 328(1), pages 821-857, September.
    11. Siqueira, Cecília L. & Arruda, Edilson F. & Bahiense, Laura & Bahr, Germana L. & Motta, Geraldo R., 2018. "Long-term integrated surgery room optimization and recovery ward planning, with a case study in the Brazilian National Institute of Traumatology and Orthopedics (INTO)," European Journal of Operational Research, Elsevier, vol. 264(3), pages 870-883.
    12. Marques, Inês & Captivo, M. Eugénia, 2017. "Different stakeholders’ perspectives for a surgical case assignment problem: Deterministic and robust approaches," European Journal of Operational Research, Elsevier, vol. 261(1), pages 260-278.
    13. Ridvan Gedik & Shengfan Zhang & Chase Rainwater, 2017. "Strategic level proton therapy patient admission planning: a Markov decision process modeling approach," Health Care Management Science, Springer, vol. 20(2), pages 286-302, June.
    14. 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.
    15. 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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