Stochastic Optimization Approaches for an Operating Room and Anesthesiologist Scheduling Problem

Published Online:https://doi.org/10.1287/opre.2022.0258

References

  • Abdalkareem ZA, Amir A, Al-Betar MA, Ekhan P, Hammouri AI (2021) Healthcare scheduling in optimization context: A review. Health Technol. (Berl.) 11:445–469.CrossrefGoogle Scholar
  • Addis B, Carello G, Tànfani E (2014) A robust optimization approach for the operating room planning problem with uncertain surgery duration. Proc. Internat.l Conf. Healthcare Systems Engrg. (Springer, Berlin, Heidelberg), 175–189.Google Scholar
  • Ahmadi-Javid A, Jalali Z, Klassen KJ (2017) Outpatient appointment systems in healthcare: A review of optimization studies. Eur. J. Oper. Res. 258(1):3–34.CrossrefGoogle Scholar
  • Aringhieri R, Landa P, Soriano P, Tanfani E, Testi A (2015) A two level metaheuristic for the operating room scheduling and assignment problem. Comput. Oper. Res. 54:21–34.CrossrefGoogle Scholar
  • Baker KR, Trietsch D (2013) Principles of Sequencing and Scheduling (John Wiley & Sons, Hoboken, NJ).Google Scholar
  • Bansal A, Berg B, Huang YL (2021a) A distributionally robust optimization approach for coordinating clinical and surgical appointments. IISE Trans. 53:1–83.Google Scholar
  • Bansal A, Berg BP, Huang YL (2021b) A value function-based approach for robust surgery planning. Comput. Oper. Res. 132:105313.CrossrefGoogle Scholar
  • Batun S, Denton BT, Huschka TR, Schaefer AJ (2011) Operating room pooling and parallel surgery processing under uncertainty. INFORMS J. Comput. 23(2):220–237.LinkGoogle Scholar
  • Becker T, Steenweg PM, Werners B (2019) Cyclic shift scheduling with on-call duties for emergency medical services. Health Care Management Sci. 22:676–690.CrossrefGoogle Scholar
  • Berg BP, Denton BT, Erdogan SA, Rohleder T, Huschka T (2014) Optimal booking and scheduling in outpatient procedure centers. Comput. Oper. Res. 50:24–37.CrossrefGoogle Scholar
  • Bertsimas D, Sim M (2004) The price of robustness. Oper. Res. 52(1):35–53.LinkGoogle Scholar
  • Birge JR, Louveaux F (2011) Introduction to Stochastic Programming (Springer Science & Business Media, New York).CrossrefGoogle Scholar
  • Bovim TR, Christiansen M, Gullhav AN, Range TM, Hellemo L (2020) Stochastic master surgery scheduling. Eur. J. Oper. Res. 285(2):695–711.CrossrefGoogle Scholar
  • Breuer DJ, Lahrichi N, Clark DE, Benneyan JC (2020) Robust combined operating room planning and personnel scheduling under uncertainty. Oper. Res. Health Care. 27:100276.CrossrefGoogle Scholar
  • Cardoen B, Demeulemeester E, Beliën J (2010) Operating room planning and scheduling: A literature review. Eur. J. Oper. Res. 201(3):921–932.CrossrefGoogle Scholar
  • Cayirli T, Veral E, Rosen H (2006) Designing appointment scheduling systems for ambulatory care services. Health Care Management Sci. 9:47–58.CrossrefGoogle Scholar
  • Celik B, Gul S, Çelik M (2023) A stochastic programming approach to surgery scheduling under parallel processing principle. Omega 115:102799.CrossrefGoogle Scholar
  • De Simone S, Vargas M, Servillo G (2021) Organizational strategies to reduce physician burnout: A systematic review and meta-analysis. Aging Clin. Exp. Res. 33(4):883–894.CrossrefGoogle Scholar
  • Dean A, Meisami A, Lam H, Van Oyen MP, Stromblad C, Kastango N (2022) Quantile regression forests for individualized surgery scheduling. Health Care Management Sci. 25:1–28.CrossrefGoogle Scholar
  • Delage E, Ye Y (2010) Distributionally robust optimization under moment uncertainty with application to data-driven problems. Oper. Res. 58(3):595–612.LinkGoogle Scholar
  • Deng Y, Shen S, Denton B (2019) Chance-constrained surgery planning under conditions of limited and ambiguous data. INFORMS J. Comput. 31(3):559–575.LinkGoogle Scholar
  • Denton B, Gupta D (2003) A sequential bounding approach for optimal appointment scheduling. IIE Trans. 35(11):1003–1016.CrossrefGoogle Scholar
  • Denton B, Viapiano J, Vogl A (2007) Optimization of surgery sequencing and scheduling decisions under uncertainty. Health Care Management Sci. 10(1):13–24.CrossrefGoogle Scholar
  • Denton BT, Miller AJ, Balasubramanian HJ, Huschka TR (2010) Optimal allocation of surgery blocks to operating rooms under uncertainty. Oper. Res. 58(4-part-1):802–816.LinkGoogle Scholar
  • Deshpande V, Mundru N, Rath S, Knowles M, Rowe D, Wood BC (2023) Data-driven surgical tray optimization to improve operating room efficiency. Oper. Res., ePub ahead of print March 16, https://doi.org/10.1287/opre.2022.2426.LinkGoogle Scholar
  • Diamant A, Milner J, Quereshy F, Xu B (2018) Inventory management of reusable surgical supplies. Health Care Management Sci. 21:439–459.CrossrefGoogle Scholar
  • Doulabi SHH, Rousseau LM, Pesant G (2014) A constraint programming-based column generation approach for operating room planning and scheduling. Internat. Conf. Integration Constraint Programming, Artificial Intelligence Oper. Res. (Springer, Berlin, Heidelberg), 455–463.Google Scholar
  • Eliaz K, Ortoleva P (2016) Multidimensional Ellsberg. Management Sci. 62(8):2179–2197.LinkGoogle Scholar
  • Erhard M, Schoenfelder J, Fügener A, Brunner JO (2018) State of the art in physician scheduling. Eur. J. Oper. Res. 265(1):1–18.CrossrefGoogle Scholar
  • Filippi C, Guastaroba G, Speranza MG (2020) Conditional value-at-risk beyond finance: A survey. Int. Trans. Oper. Res. 27(3):1277–1319.CrossrefGoogle Scholar
  • Freeman NK, Melouk SH, Mittenthal J (2016) A scenario-based approach for operating theater scheduling under uncertainty. Manufacturing Service Oper. Management 18(2):245–261.LinkGoogle Scholar
  • Fügener A, Hans EW, Kolisch R, Kortbeek N, Vanberkel PT (2014) Master surgery scheduling with consideration of multiple downstream units. Eur. J. Oper. Res. 239(1):227–236.CrossrefGoogle Scholar
  • Georghiou A, Kuhn D, Wiesemann W (2019) The decision rule approach to optimization under uncertainty: Methodology and applications. Comput. Management Sci. 16(4):545–576.CrossrefGoogle Scholar
  • Goh J, Sim M (2010) Distributionally robust optimization and its tractable approximations. Oper. Res. 58(4-part-1):902–917.LinkGoogle Scholar
  • Guerriero F, Guido R (2011) Operational research in the management of the operating theatre: A survey. Health Care Management Sci. 14(1):89–114.CrossrefGoogle Scholar
  • Guo M, Wu S, Li B, Rong Y (2014) Maximizing the efficiency of use of nurses under uncertain surgery durations: A case study. Comput. Ind. Eng. 78:313–319.CrossrefGoogle Scholar
  • Gupta D (2007) Surgical suites’ operations management. Production Oper. Management 16(6):689–700.CrossrefGoogle Scholar
  • Gupta D, Denton B (2008) Appointment scheduling in healthcare: Challenges and opportunities. IIE Trans. 40(9):800–819.CrossrefGoogle Scholar
  • Halevy Y (2007) Ellsberg revisited: An experimental study. Econometrica 75(2):503–536.CrossrefGoogle Scholar
  • Hashemi Doulabi H, Khalilpourazari S (2022) Stochastic weekly operating room planning with an exponential number of scenarios. Ann. Oper. Res. 328:643–664.Google Scholar
  • He F, Chaussalet T, Qu R (2019) Controlling understaffing with conditional value-at-risk constraint for an integrated nurse scheduling problem under patient demand uncertainty. Oper. Res. Perspect. 6:100119.CrossrefGoogle Scholar
  • Hoefnagel AL, McLeod C, Mongan PD (2020) Daily anesthesia assignment schedule automation: Utilizing an electronic scheduling system to export daily assignments into the electronic health record. Perioper. Care Oper. Room Manag. 21:100135.CrossrefGoogle Scholar
  • Huang W, Zheng W, Hill DJ (2020) Distributionally robust optimal power flow in multi-microgrids with decomposition and guaranteed convergence. IEEE Trans. Smart Grid. 12(1):43–55.CrossrefGoogle Scholar
  • Joseph TT, Wax DB, Goldstein R, Huang J, McCormick PJ, Levin MA (2020) A web-based perioperative dashboard as a platform for anesthesia informatics innovation. Anesth. Analg. 131(5):1640–1645.CrossrefGoogle Scholar
  • Jung KS, Pinedo M, Sriskandarajah C, Tiwari V (2019) Scheduling elective surgeries with emergency patients at shared operating rooms. Production Oper. Management 28(6):1407–1430.CrossrefGoogle Scholar
  • Kang Z, Li X, Li Z, Zhu S (2019) Data-driven robust mean-cvar portfolio selection under distribution ambiguity. Quant. Finance 19(1):105–121.CrossrefGoogle Scholar
  • Kayiş E, Khaniyev TT, Suermondt J, Sylvester K (2015) A robust estimation model for surgery durations with temporal, operational, and surgery team effects. Healthcare Management Sci. 18:222–233.CrossrefGoogle Scholar
  • Kayis E, Wang H, Patel M, Gonzalez T, Jain S, Ramamurthi R, Santos C, Singhal S, Suermondt J, Sylvester K (2012) Improving prediction of surgery duration using operational and temporal factors. AMIA Annu. Symp. Proc., vol. 2012 (American Medical Informatics Association, Bethesda, MD), 456.Google Scholar
  • Keyvanshokooh E, Kazemian P, Fattahi M, Van Oyen MP (2022) Coordinated and priority-based surgical care: An integrated distributionally robust stochastic optimization approach. Production Oper. Management 31(4):1510–1535.CrossrefGoogle Scholar
  • Khaniyev T, Kay iş E, Güllü R (2020) Next-day operating room scheduling with uncertain surgery durations: Exact analysis and heuristics. Eur. J. Oper. Res. 286(1):49–62.CrossrefGoogle Scholar
  • Kishimoto S, Yamashita M (2018) A successive LP approach with C-VaR type constraints for IMRT optimization. Oper. Res. Health Care 17:55–64.CrossrefGoogle Scholar
  • Kleywegt AJ, Shapiro A, Homem-de Mello T (2002) The sample average approximation method for stochastic discrete optimization. SIAM J. Optim. 12(2):479–502.CrossrefGoogle Scholar
  • Kuhn D, Mohajerin Esfahani P, Nguyen VA, Shafieezadeh-Abadeh S (2019) Wasserstein distributionally robust optimization: Theory and applications in machine learning. Operations Research & Management Science in the Age of Analytics (INFORMS, Catonsville, MD), 130–166.Google Scholar
  • Lamiri M, Grimaud F, Xie X (2009) Optimization methods for a stochastic surgery planning problem. Internat. J. Production Econom. 120(2):400–410.CrossrefGoogle Scholar
  • Latorre-Núñez G, Lüer-Villagra A, Marianov V, Obreque C, Ramis F, Neriz L (2016) Scheduling operating rooms with consideration of all resources, post anesthesia beds and emergency surgeries. Comput. Ind. Eng. 97:248–257.CrossrefGoogle Scholar
  • Lim GJ, Kardar L, Ebrahimi S, Cao W (2020) A risk-based modeling approach for radiation therapy treatment planning under tumor shrinkage uncertainty. Eur. J. Oper. Res. 280(1):266–278.CrossrefGoogle Scholar
  • Linz D, Zabinsky ZB, Heim J, Fishman P (2019) A multi-objective model for optimizing staffing across geographically distributed patient-centered medical homes. IISE Trans. Healthc. Syst. Eng. 9(1):55–70.CrossrefGoogle Scholar
  • Liu K, Li Q, Zhang ZH (2019) Distributionally robust optimization of an emergency medical service station location and sizing problem with joint chance constraints. Transportation Res. Part B: Methodological 119:79–101.CrossrefGoogle Scholar
  • Liu H, Zhang T, Luo S, Xu D (2018) Operating room scheduling and surgeon assignment problem under surgery durations uncertainty. Technol. Health Care. 26(2):297–304.CrossrefGoogle Scholar
  • Makboul S, Kharraja S, Abbassi A, Alaoui AEH (2022) A two-stage robust optimization approach for the master surgical schedule problem under uncertainty considering downstream resources. Health Care Management Sci. 25(1):63–88.CrossrefGoogle Scholar
  • Mancilla C, Storer R (2012) A sample average approximation approach to stochastic appointment sequencing and scheduling. IIE Trans. 44(8):655–670.CrossrefGoogle Scholar
  • Mannino C, Nilssen E, Nordlander T (2010) SINTEF ICT: MSS-Adjusts Surgery data. Accessed April 18, 2022, https://www.sintef.no/Projectweb/Health-care-optimization/Testbed/.Google Scholar
  • Marques I, Captivo ME (2015) Bicriteria elective surgery scheduling using an evolutionary algorithm. Oper. Res. Health Care. 7:14–26.CrossrefGoogle Scholar
  • Marques I, Captivo ME (2017) Different stakeholders’ perspectives for a surgical case assignment problem: Deterministic and robust approaches. Eur. J. Oper. Res. 261(1):260–278.CrossrefGoogle Scholar
  • Marques I, Captivo ME, Pato MV (2014) Scheduling elective surgeries in a Portuguese hospital using a genetic heuristic. Oper. Res. Health Care. 3(2):59–72.CrossrefGoogle Scholar
  • Mazloumian M, Baki MF, Ahmadi M (2022) A robust multiobjective integrated master surgery schedule and surgical case assignment model at a publicly funded hospital. Comput. Ind. Eng. 163:107826.CrossrefGoogle Scholar
  • M’Hallah R, Visintin F (2019) A stochastic model for scheduling elective surgeries in a cyclic master surgical schedule. Comput. Ind. Eng. 129:156–168.CrossrefGoogle Scholar
  • Min D, Yih Y (2010) Scheduling elective surgery under uncertainty and downstream capacity constraints. Eur. J. Oper. Res. 206(3):642–652.CrossrefGoogle Scholar
  • Moosavi A, Ebrahimnejad S (2020) Robust operating room planning considering upstream and downstream units: A new two-stage heuristic algorithm. Comput. Ind. Eng. 143:106387.CrossrefGoogle Scholar
  • Najjarbashi A, Lim GJ (2019) A variability reduction method for the operating room scheduling problem under uncertainty using CVaR. Oper. Res. Health Care 20:25–32.CrossrefGoogle Scholar
  • Neyshabouri S, Berg BP (2017) Two-stage robust optimization approach to elective surgery and downstream capacity planning. Eur. J. Oper. Res. 260(1):21–40.CrossrefGoogle Scholar
  • Penn ML, Potts CN, Harper PR (2017) Multiple criteria mixed-integer programming for incorporating multiple factors into the development of master operating theatre timetables. Eur. J. Oper. Res. 262(1):194–206.CrossrefGoogle Scholar
  • Pessôa LAM, Lins MPE, Da Silva ACM, Fiszman R (2015) Integrating soft and hard operational research to improve surgical centre management at a university hospital. Eur. J. Oper. Res. 245(3):851–861.CrossrefGoogle Scholar
  • Pflug GC, Pohl M (2018) A review on ambiguity in stochastic portfolio optimization. Set-Valued Var. Anal. 26(4):733–757.CrossrefGoogle Scholar
  • Rahimian H, Mehrotra S (2022) Frameworks and results in distributionally robust optimization. Open J. Mathematical Optimiz. 3:1–85.CrossrefGoogle Scholar
  • Rath S, Rajaram K (2022) Staff planning for hospitals with implicit cost estimation and stochastic optimization. Production Oper. Management 31(3):1271–1289.CrossrefGoogle Scholar
  • Rath S, Rajaram K, Mahajan A (2017) Integrated anesthesiologist and room scheduling for surgeries: Methodology and application. Oper. Res. 65(6):1460–1478.LinkGoogle Scholar
  • Roos E, den Hertog D (2020) Reducing conservatism in robust optimization. INFORMS J. Comput. 32(4):1109–1127.AbstractGoogle Scholar
  • Roshanaei V, Luong C, Aleman DM, Urbach D (2017) Propagating logic-based benders’ decomposition approaches for distributed operating room scheduling. Eur. J. Oper. Res. 257(2):439–455.CrossrefGoogle Scholar
  • Samudra M, Van Riet C, Demeulemeester E, Cardoen B, Vansteenkiste N, Rademakers FE (2016) Scheduling operating rooms: Achievements, challenges and pitfalls. J. Sched. 19(5):493–525.CrossrefGoogle Scholar
  • Scarf H (1958) A min-max solution of an inventory problem. Studies in the Mathematical Theory of Inventory and Production (Stanford University Press, Stanford, CA).Google Scholar
  • Schneider AT, van Essen JT, Carlier M, Hans EW (2020) Scheduling surgery groups considering multiple downstream resources. Eur. J. Oper. Res. 282(2):741–752.CrossrefGoogle Scholar
  • Shanafelt TD, Mungo M, Schmitgen J, Storz KA, Reeves D, Hayes SN, Sloan JA, Swensen SJ, Buskirk SJ (2016) Longitudinal study evaluating the association between physician burnout and changes in professional work effort. Mayo Clin. Proc. 91(4):422–431.Google Scholar
  • Shang C, You F (2018) Distributionally robust optimization for planning and scheduling under uncertainty. Comput. Chem. Eng. 110:53–68.CrossrefGoogle Scholar
  • Shehadeh KS (2022) Data-driven distributionally robust surgery planning in flexible operating rooms over a Wasserstein ambiguity. Comput. Oper. Res. 146:105927.CrossrefGoogle Scholar
  • Shehadeh KS, Padman R (2021) A distributionally robust optimization approach for stochastic elective surgery scheduling with limited intensive care unit capacity. Eur. J. Oper. Res. 290(3):901–913.CrossrefGoogle Scholar
  • Shehadeh KS, Padman R (2022) Stochastic optimization approaches for elective surgery scheduling with downstream capacity constraints: Models, challenges, and opportunities. Comput. Oper. Res. 137:105523.CrossrefGoogle Scholar
  • Shehadeh KS, Cohn AE, Epelman MA (2019) Analysis of models for the stochastic outpatient procedure scheduling problem. Eur. J. Oper. Res. 279(3):721–731.CrossrefGoogle Scholar
  • Shehadeh KS, Cohn AE, Jiang R (2020) A distributionally robust optimization approach for outpatient colonoscopy scheduling. Eur. J. Oper. Res. 283(2):549–561.CrossrefGoogle Scholar
  • Smith JE, Winkler RL (2006) The optimizer’s curse: Skepticism and postdecision surprise in decision analysis. Management Sci. 52(3):311–322.LinkGoogle Scholar
  • Stepaniak PS, Heij C, Mannaerts GH, de Quelerij M, de Vries G (2009) Modeling procedure and surgical times for current procedural terminology-anesthesia-surgeon combinations and evaluation in terms of case-duration prediction and operating room efficiency: A multicenter study. Anesth. Analg. 109(4):1232–1245.CrossrefGoogle Scholar
  • Tsai SC, Yeh Y, Kuo CY (2021) Efficient optimization algorithms for surgical scheduling under uncertainty. Eur. J. Oper. Res. 293(2):579–593.CrossrefGoogle Scholar
  • Tsai MH, Cipri LA, O’Donnell SE, Fisher JM, Andritsos DA (2017) Scheduling non-operating room anesthesia cases in endoscopy: Using the sandbox analogy. J. Clin. Anesth. 40:1–6.CrossrefGoogle Scholar
  • Tsai MH, Hall MA, Cardinal MS, Breidenstein MW, Abajian MJ, Zubarik RS (2020) Changing anesthesia block allocations improves endoscopy suite efficiency. J. Med. Syst. 44:1–9.CrossrefGoogle Scholar
  • Tsang MY, Shehadeh KS, Curtis FE (2023) An inexact column-and-constraint generation method to solve two-stage robust optimization problems. Oper. Res. Lett. 51(1):92–98.CrossrefGoogle Scholar
  • Vali-Siar MM, Gholami S, Ramezanian R (2018) Multi-period and multi-resource operating room scheduling under uncertainty: A case study. Comput. Ind. Eng. 126:549–568.CrossrefGoogle Scholar
  • Van Parys BP, Mohajerin Esfahani P, Kuhn D (2021) From data to decisions: Distributionally robust optimization is optimal. Management Sci. 67(6):3387–3402.LinkGoogle Scholar
  • Wang S, Chen Z, Liu T (2020) Distributionally robust hub location. Transportation Sci. 54(5):1189–1210.LinkGoogle Scholar
  • Wang Y, Tang J, Fung RY (2014) A column-generation-based heuristic algorithm for solving operating theater planning problem under stochastic demand and surgery cancellation risk. Internat. J. Production Econom. 158:28–36.CrossrefGoogle Scholar
  • Wang Y, Zhang Y, Tang J (2019) A distributionally robust optimization approach for surgery block allocation. Eur. J. Oper. Res. 273(2):740–753.CrossrefGoogle Scholar
  • Wang Y, Zhang Y, Zhou M, Tang J (2023) Feature-driven robust surgery scheduling. Production Oper. Management 32(6):1921–1938.CrossrefGoogle Scholar
  • Zeng B, Zhao L (2013) Solving two-stage robust optimization problems using a column-and-constraint generation method. Oper. Res. Lett. 41(5):457–461.CrossrefGoogle Scholar
  • Zhu S, Fan W, Yang S, Pei J, Pardalos PM (2019) Operating room planning and surgical case scheduling: A review of literature. J. Comb. Optim. 37(3):757–805.CrossrefGoogle Scholar
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