Abstract
Scheduling elective surgeries is a dynamic, sequential decision-making process that must balance the costs of deferring waiting cases and blocking higher-priority cases. Although other surgery scheduling problems have received extensive treatment in the literature, this paper presents the first single-day scheduling problem formulation to capture this aspect of the scheduling process while also incorporating surgical block schedules, block release policies, and waiting lists. Theoretical results for the special case in which all cases have the same duration motivate a range of threshold-based heuristics for the general problem with multiple case durations. Our computational results demonstrate the effectiveness of the proposed heuristics and show how block release dates affect the quality of the scheduling decisions. Based on these results, we propose a new approach to surgery scheduling. In particular, to make more equitable waiting list decisions, operating room (OR) managers should gradually release unused OR time over the course of several days leading up to the day of surgery.
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References
Beliën J, Demeulemeester E (2007) Building cyclic master surgery schedules with leveled resulting bed occupancy. Eur J Oper Res 176: 1185–1204
Beliën J, Demeulemeester E, Cardoen B (2009) A decision support system for cyclic master surgery scheduling with multiple objectives. J Sched 12(2): 147–161
Blake J, Carter M (2002) A goal programming approach to strategic resource allocation in acute care hospitals. Eur J Oper Res 140: 541–561
Blake J, Donald J (2002) Mount Sinai Hospital uses integer programming to allocate operating room time. Interfaces 32(2): 63–73
Brumelle S, Walczak D (2003) Dynamic airline revenue management with multiple semi–Markov demand. Oper Res 51: 137–148
Cardoen B, Demeulemeester E, Beliën J (2009) Sequencing surgical cases in a day-care environment: an exact branch-and-price approach. Comput Oper Res 36(9): 2660–2669
Cardoen B, Demeulemeester E, Beliën J (2010) Operating room planning and scheduling: a literature review. Eur J Oper Res 201: 921–932
Denton B, Viapiano J, Vogl A (2007) Optimization of surgery sequencing and scheduling decisions under uncertainty. Health Care Manag Sci 10: 13–24
Dexter F, Macario A, Traub RD (1999) Which algorithm for scheduling elective add-on cases maximizes operating room utilization? Use of bin packing algorithms and fuzzy constraints in operating room management. Anesthesiology 91: 1491–1500
Dexter F, Traub R (2002) How to schedule elective surgical cases into specific operating rooms to maximize the efficiency of use of operating room time. Anesth Analg 94: 933–942
Dexter F, Traub R, Macario A (2003) How to release allocated operating room time to increase efficiency: predicting which surgical service will have the most under-utilized operating room time. Anesth Analg 96: 507–512
Dexter F, Macario A (2004) When to release allocated operating room time to increase operating room efficiency. Anesth Analg 98: 758–762
Gerchak Y, Gupta D, Henig M (1996) Reservation planning for elective surgery under uncertain demand for emergency surgery. Management Science. 42(3): 321–334
Guinet A, Chaabane S (2003) Operating theatre planning. Int J Prod Econ 85: 69–81
Gupta D (2007) Surgical suites’ operations management. Prod Oper Manag 16(6): 689–700
Hans E, Wullink G, van Houdenhoven M, Kazemier G (2008) Robust surgery loading. Eur J Oper Res 185: 1038–1050
Herring WL (2010) A stochastic dynamic program for the single-day surgery scheduling problem.In: Proceedings of the 2010 IIE Society for Health Systems Annual Conference, Atlanta, 25–28 Feb 2010
Herring WL (2011) Prioritizing patients: stochastic dynamic programming for surgery scheduling and mass casualty incident triage. Ph.D. Dissertation, University of Maryland, College Park, MD. Available at http://hdl.handle.net/1903/11689
Lee TC, Hersh M (1993) A model for dynamic airline seat inventory control with multiple seat bookings. Transp Sci 27(3): 252–265
Macario A, Vitez T, Dunn B, McDonald T (1995) Where are the costs in perioperative care? Analysis of hospital costs and charges for inpatient surgical care. Anesthesiology 83(6): 1138–1144
McManus M, Long M, Cooper A, Mandell J, Berwick D, Pagano M, Litvak E (2003) Variability in surgical caseload and access to intensive care services. Anesthesiology 98(6): 1491–1496
Ozkarahan I (2000) Allocation of surgeries to operating rooms by goal programing. J Med Syst 24(6): 339–378
Pham D, Klinkert A (2008) Surgical case scheduling as a generalized job shop scheduling problem. Eur J Oper Res 185: 1011–1025
Santibañez P, Begen M, Atkins D (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 Manag Sci 10: 269–282
Schütz H-J, Kolisch R (2010a) Approximate dynamic programming for capacity allocation in the service industry. Working paper, available at SSRN: http://ssrn.com/abstract=1618315
Schütz H-J, Kolisch R (2010b) Capacity allocation for demand of different customer–product–combinations with cancellation, no–shows, and overbooking when there is a sequential delivery of service. Working paper, available at SSRN: http://ssrn.com/abstract=1618313
Subramanian J, Stidham S Jr, Lautenbacher CJ (1999) Airline yield management with overbooking, cancellations, and no-shows. Transp Sci 33(2): 147–167
Testi A, Tanfani E, Torre G (2007) A three-phase approach for operating theatre schedules. Health Care Manag Sci 10: 163–172
van Oostrum JM, van Houdenhoven M, Hurink JL, Hans EW, Wullink G, Kazemier G (2008) A master surgical scheduling approach for cyclic scheduling in operating room departments. OR Spectr 30(2): 355–374
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Herring, W.L., Herrmann, J.W. The single-day surgery scheduling problem: sequential decision-making and threshold-based heuristics. OR Spectrum 34, 429–459 (2012). https://doi.org/10.1007/s00291-011-0270-3
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DOI: https://doi.org/10.1007/s00291-011-0270-3