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Multiple criteria mixed-integer programming for incorporating multiple factors into the development of master operating theatre timetables

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  • Penn, M.L.
  • Potts, C.N.
  • Harper, P.R.

Abstract

Operating theatres and surgeons are among the most expensive resources in any hospital, so it is vital that they are used efficiently. Many European hospitals implement block scheduling, where each surgeon is assigned blocks of time in specific operating theatres on a cyclic basis. This paper proposes a model that assists hospitals in creating new master theatre timetables, which take account of reducing the maximum number of beds required, surgeons’ availability, surgeons’ preferences, variations in types of theatre and their suitability for different types of surgery, limited equipment availability, and the ability to vary the length of the cycle over which the timetable is repeated. The weightings given to each of these factors can be altered, thereby allowing exploration of a variety of possible timetables. Novel features of the model include consideration of surgeons’ preferences for slots, smoothing of bed usage during the generation of master theatre timetables and the use of operating theatres with the potential for the same theatre to be belong to multiple non-nested types. These new features are considered in combination with a range of other factors that have been considered in previous studies on the development of master theatre timetables.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:262:y:2017:i:1:p:194-206
    DOI: 10.1016/j.ejor.2017.03.065
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    1. M Arenas & A Bilbao & R Caballero & T Gómez & M V Rodríguez & F Ruiz, 2002. "Analysis via goal programming of the minimum achievable stay in surgical waiting lists," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(4), pages 387-396, April.
    2. Angela Testi & Elena Tanfani & Giancarlo Torre, 2007. "A three-phase approach for operating theatre schedules," Health Care Management Science, Springer, vol. 10(2), pages 163-172, June.
    3. 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.
    4. Pablo Santibáñez & Mehmet Begen & Derek Atkins, 2007. "Surgical block scheduling in a system of hospitals: an application to resource and wait list management in a British Columbia health authority," Health Care Management Science, Springer, vol. 10(3), pages 269-282, September.
    5. Bowers, John & Mould, Gillian, 2004. "Managing uncertainty in orthopaedic trauma theatres," European Journal of Operational Research, Elsevier, vol. 154(3), pages 599-608, May.
    6. Belien, Jeroen & Demeulemeester, Erik, 2007. "Building cyclic master surgery schedules with leveled resulting bed occupancy," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1185-1204, January.
    7. Harvey J. Greenberg & Frederic H. Murphy, 1991. "Approaches to Diagnosing Infeasible Linear Programs," INFORMS Journal on Computing, INFORMS, vol. 3(3), pages 253-261, August.
    8. Hans, Erwin & Wullink, Gerhard & van Houdenhoven, Mark & Kazemier, Geert, 2008. "Robust surgery loading," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1038-1050, March.
    9. Blake, John T. & Carter, Michael W., 2002. "A goal programming approach to strategic resource allocation in acute care hospitals," European Journal of Operational Research, Elsevier, vol. 140(3), pages 541-561, August.
    10. John W. Chinneck, 1997. "Finding a Useful Subset of Constraints for Analysis in an Infeasible Linear Program," INFORMS Journal on Computing, INFORMS, vol. 9(2), pages 164-174, May.
    11. Frieze, A. M., 1983. "Complexity of a 3-dimensional assignment problem," European Journal of Operational Research, Elsevier, vol. 13(2), pages 161-164, June.
    12. Fei, H. & Chu, C. & Meskens, N. & Artiba, A., 2008. "Solving surgical cases assignment problem by a branch-and-price approach," International Journal of Production Economics, Elsevier, vol. 112(1), pages 96-108, March.
    13. 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.
    14. Jones, Dylan, 2011. "A practical weight sensitivity algorithm for goal and multiple objective programming," European Journal of Operational Research, Elsevier, vol. 213(1), pages 238-245, August.
    15. John T. Blake & Joan Donald, 2002. "Mount Sinai Hospital Uses Integer Programming to Allocate Operating Room Time," Interfaces, INFORMS, vol. 32(2), pages 63-73, April.
    16. 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.
    17. Daskalaki, S. & Birbas, T. & Housos, E., 2004. "An integer programming formulation for a case study in university timetabling," European Journal of Operational Research, Elsevier, vol. 153(1), pages 117-135, February.
    18. 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.
    19. John W. Chinneck, 2001. "Fast Heuristics for the Maximum Feasible Subsystem Problem," INFORMS Journal on Computing, INFORMS, vol. 13(3), pages 210-223, August.
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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. 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.
    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. 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.
    5. 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.
    6. Shuwan Zhu & Wenjuan Fan & Tongzhu Liu & Shanlin Yang & Panos M. Pardalos, 2020. "Dynamic three-stage operating room scheduling considering patient waiting time and surgical overtime costs," Journal of Combinatorial Optimization, Springer, vol. 39(1), pages 185-215, January.
    7. 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).
    8. 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.
    9. Şeyda Gür & Mehmet Pınarbaşı & Hacı Mehmet Alakaş & Tamer Eren, 2023. "Operating room scheduling with surgical team: a new approach with constraint programming and goal programming," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(4), pages 1061-1085, December.
    10. Zhaohui Li & Haiyue Yu & Zhaowei Zhou, 2024. "Scheduling of elective operations with coordinated utilization of hospital beds and operating rooms," Journal of Combinatorial Optimization, Springer, vol. 47(5), pages 1-29, July.

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