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Surgical Operation Scheduling with Goal Programming and Constraint Programming: A Case Study

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  • Şeyda Gür

    (Department of Industrial Engineering, Faculty of Engineering, Kirikkale University, 71450 Kirikkale, Turkey)

  • Tamer Eren

    (Department of Industrial Engineering, Faculty of Engineering, Kirikkale University, 71450 Kirikkale, Turkey)

  • Hacı Mehmet Alakaş

    (Department of Industrial Engineering, Faculty of Engineering, Kirikkale University, 71450 Kirikkale, Turkey)

Abstract

The achievement of health organizations’ goals is critically important for profitability. For this purpose, their resources, materials, and equipment should be efficiently used in the services they provide. A hospital has sensitive and expensive equipment, and the use of its equipment and resources needs to be balanced. The utilization of these resources should be considered in its operating rooms, as it shares both expense expenditure and revenue generation. This study’s primary aim is the effective and balanced use of equipment and resources in hospital operating rooms. In this context, datasets from a state hospital were used via the goal programming and constraint programming methods. According to the wishes of hospital managers, three scenarios were separately modeled in both methods. According to the obtained results, schedules were compared and analyzed according to the current situation. The hospital-planning approach was positively affected, and goals such as minimization cost, staff and patient satisfaction, prevention over time, and less use were achieved.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:251-:d:212788
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    References listed on IDEAS

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    1. B Zhang & P Murali & M M Dessouky & D Belson, 2009. "A mixed integer programming approach for allocating operating room capacity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(5), pages 663-673, May.
    2. 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.
    3. Jose M. Molina-Pariente & Erwin W. Hans & Jose M. Framinan, 2018. "A stochastic approach for solving the operating room scheduling problem," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 224-251, June.
    4. 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.
    5. Lamiri, Mehdi & Xie, Xiaolan & Dolgui, Alexandre & Grimaud, Frederic, 2008. "A stochastic model for operating room planning with elective and emergency demand for surgery," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1026-1037, March.
    6. 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.
    7. Elena Tànfani & Angela Testi, 2010. "A pre-assignment heuristic algorithm for the Master Surgical Schedule Problem (MSSP)," Annals of Operations Research, Springer, vol. 178(1), pages 105-119, July.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    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. Francesca Guerriero & Rosita Guido, 2011. "Operational research in the management of the operating theatre: a survey," Health Care Management Science, Springer, vol. 14(1), pages 89-114, March.
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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. Adrián González-Maestro & Elena Brozos-Vázquez & Balbina Casas-Méndez & Rafael López-López & Rosa López-Rodríguez & Francisco Reyes-Santias, 2021. "Effective Optimisation of the Patient Circuits of an Oncology Day Hospital: Mathematical Programming Models and Case Study," Mathematics, MDPI, vol. 10(1), pages 1-31, December.
    3. 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.
    4. Alexander Alekseevich Lazarev & Darya Vladimirovna Lemtyuzhnikova & Mikhail Lvovich Somov, 2022. "Decomposition of the Knapsack Problem for Increasing the Capacity of Operating Rooms," Mathematics, MDPI, vol. 10(5), pages 1-18, March.

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