IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v60y2009i5d10.1057_palgrave.jors.2602596.html
   My bibliography  Save this article

A mixed integer programming approach for allocating operating room capacity

Author

Listed:
  • B Zhang

    (University of Southern California)

  • P Murali

    (University of Southern California)

  • M M Dessouky

    (University of Southern California)

  • D Belson

    (University of Southern California)

Abstract

We have developed a methodology for allocating operating room capacity to specialties. Our methodology consists of a finite-horizon mixed integer programming (MIP) model which determines a weekly operating room allocation template that minimizes inpatients' cost measured as their length of stay. A number of patient type priority (eg emergency over non-emergency patient) and clinical constraints (eg maximum number of hours allocated to each specialty, surgeon, and staff availability) are included in the formulation. The optimal solution from the analytical model is inputted into a simulation model that captures some of the randomness of the processes (eg surgery time, demand, arrival time, and no-show rate of the outpatients) and non-linearities (eg the MIP assumes proportional allocation of demand satisfaction (output) with room allocation (input)). The simulation model outputs the average length of stay for each specialty and the room utilization. On a case example of a Los Angeles County Hospital, we show how the hospital length of stay pertaining to surgery can be reduced.

Suggested Citation

  • 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.
    • Handle: RePEc:pal:jorsoc:v:60:y:2009:i:5:d:10.1057_palgrave.jors.2602596
    DOI: 10.1057/palgrave.jors.2602596
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/palgrave.jors.2602596
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1057/palgrave.jors.2602596?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Homer H. Schmitz & N. K. Kwak, 1972. "Monte Carlo Simulation of Operating-Room and Recovery-Room Usage," Operations Research, INFORMS, vol. 20(6), pages 1171-1180, December.
    4. Paul J. Kuzdrall & N. K. Kwak & Homer H. Schmitz, 1974. "Technical Note—The Monte Carlo Simulation of Operating-Room and Recovery-Room Usage," Operations Research, INFORMS, vol. 22(2), pages 434-440, April.
    5. Yigal Gerchak & Diwakar Gupta & Mordechai Henig, 1996. "Reservation Planning for Elective Surgery Under Uncertain Demand for Emergency Surgery," Management Science, INFORMS, vol. 42(3), pages 321-334, March.
    6. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Arne Schulz, 2023. "The balanced maximally diverse grouping problem with integer attribute values," Journal of Combinatorial Optimization, Springer, vol. 45(5), pages 1-27, July.
    2. 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.
    3. 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.
    4. Zexian Zeng & Xiaolei Xie & Heidi Menaker & Susan G. Sanford-Ring & Jingshan Li, 2018. "Performance evaluation of operating room schedules in orthopedic surgery," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 198-223, June.
    5. Michael R. Miller & Robert J. Alexander & Vincent A. Arbige & Robert F. Dell & Steven R. Kremer & Brian P. McClune & Jane E. Oppenlander & Joshua P. Tomlin, 2017. "Optimal Allocation of Students to Naval Nuclear-Power Training Units," Interfaces, INFORMS, vol. 47(4), pages 320-335, August.
    6. 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.
    7. Choi, Sangdo & Wilhelm, Wilbert E., 2014. "An approach to optimize block surgical schedules," European Journal of Operational Research, Elsevier, vol. 235(1), pages 138-148.
    8. Michael R. Wagner & Zinovy Radovilsky, 2012. "Optimizing Boat Resources at the U.S. Coast Guard: Deterministic and Stochastic Models," Operations Research, INFORMS, vol. 60(5), pages 1035-1049, October.
    9. Mahdi Noorizadegan & Abbas Seifi, 2018. "An efficient computational method for large scale surgery scheduling problems with chance constraints," Computational Optimization and Applications, Springer, vol. 69(2), pages 535-561, March.
    10. Morteza Lalmazloumian & M. Fazle Baki & Majid Ahmadi, 2023. "A two-stage stochastic optimization framework to allocate operating room capacity in publicly-funded hospitals under uncertainty," Health Care Management Science, Springer, vol. 26(2), pages 238-260, June.
    11. Brecht Cardoen & Jeroen Beliën & Mario Vanhoucke, 2015. "On the design of custom packs: grouping of medical disposable items for surgeries," International Journal of Production Research, Taylor & Francis Journals, vol. 53(24), pages 7343-7359, December.
    12. 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.
    13. 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.
    14. Sebastian Rachuba & Brigitte Werners, 2017. "A fuzzy multi-criteria approach for robust operating room schedules," Annals of Operations Research, Springer, vol. 251(1), pages 325-350, April.
    15. van den Broek d’Obrenan, Anne & Ridder, Ad & Roubos, Dennis & Stougie, Leen, 2020. "Minimizing bed occupancy variance by scheduling patients under uncertainty," European Journal of Operational Research, Elsevier, vol. 286(1), pages 336-349.
    16. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Jeroen Oostrum & Eelco Bredenhoff & Erwin Hans, 2010. "Suitability and managerial implications of a Master Surgical Scheduling approach," Annals of Operations Research, Springer, vol. 178(1), pages 91-104, July.
    7. repec:ipg:wpaper:2013-014 is not listed on IDEAS
    8. 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.
    9. 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.
    10. Lamiri, Mehdi & Grimaud, Frédéric & Xie, Xiaolan, 2009. "Optimization methods for a stochastic surgery planning problem," International Journal of Production Economics, Elsevier, vol. 120(2), pages 400-410, August.
    11. 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.
    12. repec:ipg:wpaper:201414 is not listed on IDEAS
    13. Brittney Benchoff & Candace Arai Yano & Alexandra Newman, 2017. "Kaiser Permanente Oakland Medical Center Optimizes Operating Room Block Schedule for New Hospital," Interfaces, INFORMS, vol. 47(3), pages 214-229, June.
    14. Cheng Guo & Merve Bodur & Dionne M. Aleman & David R. Urbach, 2021. "Logic-Based Benders Decomposition and Binary Decision Diagram Based Approaches for Stochastic Distributed Operating Room Scheduling," INFORMS Journal on Computing, INFORMS, vol. 33(4), pages 1551-1569, October.
    15. McRae, Sebastian & Brunner, Jens O., 2020. "Assessing the impact of uncertainty and the level of aggregation in case mix planning," Omega, Elsevier, vol. 97(C).
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. repec:ipg:wpaper:14 is not listed on IDEAS
    21. Range, Troels Martin & Kozlowski, Dawid & Petersen, Niels Chr., 2019. "Dynamic job assignment: A column generation approach with an application to surgery allocation," European Journal of Operational Research, Elsevier, vol. 272(1), pages 78-93.
    22. 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.
    23. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pal:jorsoc:v:60:y:2009:i:5:d:10.1057_palgrave.jors.2602596. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.