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Surgical scheduling with simultaneous employment of specialised human resources

Author

Listed:
  • Silva, Thiago A.O.
  • de Souza, Mauricio C.
  • Saldanha, Rodney R.
  • Burke, Edmund K.

Abstract

Surgical scheduling is a challenging problem faced by hospital managers. It is subject to a wide range of constraints depending upon the particular situation within any given hospital. We deal with the simultaneous employment of specialised human resources, which must be assigned to surgeries according to their skills as well as the time windows of the staff. A particular feature is that they can be assigned to two surgeries simultaneously if the rooms are compatible. The objective is to maximise the use of the operating rooms. We propose an integer model and integer programming based heuristics to address the problem. Computational experiments were conducted on a number of scenarios inspired by real data to cover different practical problem solving situations. Numerical results show that relaxations provide tight upper bounds, and relax-and-fix heuristics are successful in finding optimal or near optimal solutions.

Suggested Citation

  • Silva, Thiago A.O. & de Souza, Mauricio C. & Saldanha, Rodney R. & Burke, Edmund K., 2015. "Surgical scheduling with simultaneous employment of specialised human resources," European Journal of Operational Research, Elsevier, vol. 245(3), pages 719-730.
    • Handle: RePEc:eee:ejores:v:245:y:2015:i:3:p:719-730
    DOI: 10.1016/j.ejor.2015.04.008
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    References listed on IDEAS

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    9. Cardoen, Brecht & Demeulemeester, Erik & Beliën, Jeroen, 2009. "Optimizing a multiple objective surgical case sequencing problem," International Journal of Production Economics, Elsevier, vol. 119(2), pages 354-366, June.
    10. Vijayakumar, Bharathwaj & Parikh, Pratik J. & Scott, Rosalyn & Barnes, April & Gallimore, Jennie, 2013. "A dual bin-packing approach to scheduling surgical cases at a publicly-funded hospital," European Journal of Operational Research, Elsevier, vol. 224(3), pages 583-591.
    11. V. Augusto & X. Xie & V. Perdomo, 2008. "Operating theatre scheduling using Lagrangian relaxation," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 2(2), pages 172-189.
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    13. 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.
    14. Jebali, AIda & Hadj Alouane, Atidel B. & Ladet, Pierre, 2006. "Operating rooms scheduling," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 52-62, February.
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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. Roshanaei, Vahid & Booth, Kyle E.C. & Aleman, Dionne M. & Urbach, David R. & Beck, J. Christopher, 2020. "Branch-and-check methods for multi-level operating room planning and scheduling," International Journal of Production Economics, Elsevier, vol. 220(C).
    3. 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.
    4. 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.
    5. Di Martinelly, Christine & Meskens, Nadine, 2017. "A bi-objective integrated approach to building surgical teams and nurse schedule rosters to maximise surgical team affinities and minimise nurses' idle time," International Journal of Production Economics, Elsevier, vol. 191(C), pages 323-334.
    6. Silva, Thiago A.O. & de Souza, Mauricio C., 2020. "Surgical scheduling under uncertainty by approximate dynamic programming," Omega, Elsevier, vol. 95(C).
    7. Bahman Naderi & Vahid Roshanaei & Mehmet A. Begen & Dionne M. Aleman & David R. Urbach, 2021. "Increased Surgical Capacity without Additional Resources: Generalized Operating Room Planning and Scheduling," Production and Operations Management, Production and Operations Management Society, vol. 30(8), pages 2608-2635, August.
    8. Roshanaei, Vahid & Luong, Curtiss & Aleman, Dionne M. & Urbach, David, 2017. "Propagating logic-based Benders’ decomposition approaches for distributed operating room scheduling," European Journal of Operational Research, Elsevier, vol. 257(2), pages 439-455.
    9. 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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