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Scheduling of elective operations with coordinated utilization of hospital beds and operating rooms

Author

Listed:
  • Zhaohui Li

    (University of Electronic Science and Technology of China)

  • Haiyue Yu

    (Shanghai University of Traditional Chinese Medicine)

  • Zhaowei Zhou

    (Fudan University)

Abstract

The problem studied in this paper is elective surgery scheduling, with resource constraints in each of the three following stages: preoperative, perioperative, and postoperative stages. With the integrated availability of hospital beds in wards and operating rooms, the aim is to determine operation start times of surgeries and allocate the hospital beds to patients while getting patients treated as soon as possible. This task is crucial in providing timely treatments for the patients while ensuring the hospital’s resource utilization balance. For the problem, we first formulate it as mixed-integer programming, which is NP-complete. Then, we propose several heuristics to overcome the long computation time. To make the solution better, we also propose improved algorithms. Finally, we conduct a series of numerical studies to illustrate the efficiency of our proposed algorithms and examine the impact of the number of jobs, beds, and surgery blocks on the performance measure. Computational experiments showed the superior performance of our heuristics in makespan.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:jcomop:v:47:y:2024:i:5:d:10.1007_s10878-024-01167-1
    DOI: 10.1007/s10878-024-01167-1
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    1. Sebastian Hof & Andreas Fügener & Jan Schoenfelder & Jens O. Brunner, 2017. "Case mix planning in hospitals: a review and future agenda," Health Care Management Science, Springer, vol. 20(2), pages 207-220, June.
    2. Liwei Zhong & Shoucheng Luo & Lidong Wu & Lin Xu & Jinghui Yang & Guochun Tang, 2014. "A two-stage approach for surgery scheduling," Journal of Combinatorial Optimization, Springer, vol. 27(3), pages 545-556, April.
    3. S. Ayca Erdogan & Alexander Gose & Brian T. Denton, 2015. "Online appointment sequencing and scheduling," IISE Transactions, Taylor & Francis Journals, vol. 47(11), pages 1267-1286, November.
    4. Christiane Barz & Kumar Rajaram, 2015. "Elective Patient Admission and Scheduling under Multiple Resource Constraints," Production and Operations Management, Production and Operations Management Society, vol. 24(12), pages 1907-1930, December.
    5. Angela Testi & Elena Tànfani, 2009. "Tactical and operational decisions for operating room planning: Efficiency and welfare implications," Health Care Management Science, Springer, vol. 12(4), pages 363-373, December.
    6. P T Vanberkel & R J Boucherie & E W Hans & J L Hurink & W A M van Lent & W H van Harten, 2011. "An exact approach for relating recovering surgical patient workload to the master surgical schedule," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1851-1860, October.
    7. 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.
    8. Shan Wang & Huiqiao Su & Guohua Wan, 2015. "Resource-constrained machine scheduling with machine eligibility restriction and its applications to surgical operations scheduling," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 982-995, November.
    9. Mohammad Mahdi Nasiri & Meysam Rahvar, 2017. "A two-step multi-objective mathematical model for nurse scheduling problem considering nurse preferences and consecutive shifts," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 27(1), pages 83-101.
    10. 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.
    11. 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.
    12. Ari P. J. Vepsalainen & Thomas E. Morton, 1987. "Priority Rules for Job Shops with Weighted Tardiness Costs," Management Science, INFORMS, vol. 33(8), pages 1035-1047, August.
    13. 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.
    14. 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.
    15. Santos, Daniel & Marques, Inês, 2022. "Designing master surgery schedules with downstream unit integration via stochastic programming," European Journal of Operational Research, Elsevier, vol. 299(3), pages 834-852.
    16. Huiqiao Su & Michael Pinedo & Guohua Wan, 2017. "Parallel machine scheduling with eligibility constraints: A composite dispatching rule to minimize total weighted tardiness," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(3), pages 249-267, April.
    17. D C Lane & C Monefeldt & J V Rosenhead, 2000. "Looking in the wrong place for healthcare improvements: A system dynamics study of an accident and emergency department," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(5), pages 518-531, May.
    18. Bastos, Leonardo S.L. & Marchesi, Janaina F. & Hamacher, Silvio & Fleck, Julia L., 2019. "A mixed integer programming approach to the patient admission scheduling problem," European Journal of Operational Research, Elsevier, vol. 273(3), pages 831-840.
    19. Roshanaei, Vahid & Booth, Kyle E.C. & Aleman, Dionne M. & Urbach, David R. & Beck, J. Christopher, 2020. "Branch-and-check methods for multi-level operating room planning and scheduling," International Journal of Production Economics, Elsevier, vol. 220(C).
    20. Peter J H Hulshof & Nikky Kortbeek & Richard J Boucherie & Erwin W Hans & Piet J M Bakker, 2012. "Taxonomic classification of planning decisions in health care: a structured review of the state of the art in OR/MS," Health Systems, Taylor & Francis Journals, vol. 1(2), pages 129-175, December.
    21. P T Vanberkel & R J Boucherie & E W Hans & J L Hurink & W A M van Lent & W H van Harten, 2011. "An exact approach for relating recovering surgical patient workload to the master surgical schedule," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1851-1860, October.
    22. Saremi, Alireza & Jula, Payman & ElMekkawy, Tarek & Wang, G. Gary, 2013. "Appointment scheduling of outpatient surgical services in a multistage operating room department," International Journal of Production Economics, Elsevier, vol. 141(2), pages 646-658.
    23. Jebali, AIda & Hadj Alouane, Atidel B. & Ladet, Pierre, 2006. "Operating rooms scheduling," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 52-62, February.
    24. 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.
    25. Narges Hosseini & Kevin Taaffe, 2015. "Allocating operating room block time using historical caseload variability," Health Care Management Science, Springer, vol. 18(4), pages 419-430, December.
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