Strategic planning of operating room session allocation using stability analysis

References

• Ackere, A. (1990). Conflicting interests in the timing of jobs. Management Science, 36(8), 970–984. https://doi.org/10.1287/mnsc.36.8.970
   Web of Science ®Google Scholar
• Agrawal, V., Elsaleiby, A., Zhang, Y., Sundararaghavan, P., & Casabianca, A. (2019). Minimax cth percentile of makespan in surgical scheduling. Health Systems, 10(2), 118–130. doi:10.20476965/20476965.2019.1700763
   Web of Science ®Google Scholar
• Arisha, A., Abo-Hamad, W., & Ismail, K. (2010). Integrating balanced scorecard and simulation modelling to improve emergency department performance in Irish hospitals. In: Proceedings of the 2010 Winter Simulation Conference, 2340–2351, Baltimore, MD, USA. doi:10.1109/WSC.2010.5678931
   Google Scholar
• Bacelar-Silva, G. M., Cox, J. F., III, & Rodrigues, P. P. (2020). Outcomes of managing healthcare services using the theory of constraints: A systematic review. Health Systems. https://doi.org/10.1080/20476965.2020
   Google Scholar
• Banzhaf, J. F., III. (1964). Weighted voting doesn’t work: A mathematical analysis. Rutgers L. Review, 19, 317.
   Google Scholar
• Beliën, J., & Demeulemeester, E. (2007). Building cyclic master surgery schedules with leveled resulting bed occupancy. European Journal of Operational Research, 176(2), 1185–1204. https://doi.org/10.1016/j.ejor.2005.06.063
   Web of Science ®Google Scholar
• Bertini, C., Gambarelli, G., Stach, I., & Zola, M. (2018). Power indices for finance. In: Collan M., Kacprzyk J. (eds) Soft computing applications for group decision-making and consensus modeling, vol 357, (pp. 45–69). Springer, Cham. https://doi.org/10.1007/978-3-319-60207-3_4
   Google Scholar
• Blake, J. T., & Carter, M. W. (1997). Surgical process scheduling: A structured review. Journal of the Society for Health Systems, 5(3), 17–30. PMID: 9035021
   PubMedGoogle Scholar
• Blake, J. T., & Carter, M. W. (2002). A goal programming approach to strategic resource allocation in acute care hospitals. European Journal of Operational Research, 140(3), 541–561. https://doi.org/10.1016/S0377-2217(01)00219-3
   Web of Science ®Google Scholar
• Blake, J. T., & Carter, M. W. (2003). Physician and hospital funding options in a public system with decreasing resources. Socio-Economic Planning Sciences, 37(1), 45–68. https://doi.org/10.1016/S0038-0121(02)00009-5
   Google Scholar
• Borkotokey, S., & Neog, R. (2012). Allocating profit among rational players in a fuzzy coalition: A game theoretic model. Group Decision and Negotiation, 21(4), 439–459. https://doi.org/10.1007/s10726-010-9217-3
   Web of Science ®Google Scholar
• Brailsford, S. C. (2008). System dynamics: What’s in it for healthcare simulation modelers. In 2008 Winter Simulation Conference, 1478–1483. IEEE, Miami, FL, USA. doi:10.1109/WSC.2008.4736227
   Google Scholar
• Brams, S. J. (2008). Mathematics and democracy: Designing better voting and fair-division procedures. Mathematical and Computer Modelling, 48(9–10), 1666–1670. https://doi.org/10.1016/j.mcm.2008.05.013
   Google Scholar
• Cardoen, B., Demeulemeester, E., & Beliën, J. (2010a). Operating room planning and scheduling: A literature review. European Journal of Operational Research, 201(3), 921–932. https://doi.org/10.1016/j.ejor.2009.04.011
   Web of Science ®Google Scholar
• Cardoen, B., Demeulemeester, E., & Van der Hoeven, J. (2010b). On the use of planning models in the operating theatre: Results of a survey in flanders. The International Journal of Health Planning and Management, 25(4), 400–414. https://doi.org/10.1002/hpm.1027
   PubMed Web of Science ®Google Scholar
• Coleman, J. S. (1971). Control of collectivities and the power of a collectivity to act. In: Lieberman, B. (ed.), Social Choice, 269–300. New York: Gordon and Breach
   Google Scholar
• Denton, B. T., Miller, A. J., Balasubramanian, H. J., & Huschka, T. R. (2010). Optimal allocation of surgery blocks to operating rooms under uncertainty. Operations Research, 58(4–part–1), 802–816. https://doi.org/10.1287/opre.1090.0791
   Web of Science ®Google Scholar
• Dexter, F., Blake, J. T., Penning, D. H., Sloan, B., Chung, P., & Lubarsky, D. A. (2002). Use of linear programming to estimate impact of changes in a hospital’s operating room time allocation on perioperative variable costs. The Journal of the American Society of Anesthesiologists, 96(3), 718–724. https://doi.org/10.1097/00000542-200203000-00031
   PubMed Web of Science ®Google Scholar
• Dexter, F., Ledolter, J., & Wachtel, R. E. (2005). Tactical decision making for selective expansion of operating room resources incorporating financial criteria and uncertainty in subspecialties’ future workloads. Anesthesia and Analgesia, 100(5), 1425–1432. https://doi.org/10.1213/01.ANE.0000149898.45044.3D
   PubMed Web of Science ®Google Scholar
• Dexter, F., & Macario, A. (2002). Changing allocations of operating room time from a system based on historical utilization to one where the aim is to schedule as many surgical cases as possible. Anesthesia and Analgesia, 94(5), 1272–1279. https://doi.org/10.1097/00000539-200205000-00042
   PubMed Web of Science ®Google Scholar
• Diez, K., & Lennerts, K. (2009). A process‐oriented analysis of facility management services in hospitals as a basis for strategic planning. Journal of Facilities Management, 7(1), 52–60. https://doi.org/10.1108/14725960910929565
   Google Scholar
• Dinar, A., & Howitt, R. E. (1997). Mechanisms for allocation of environmental control cost: Empirical tests of acceptability and stability. Journal of Environmental Management, 49(2), 183–203. https://doi.org/10.1006/jema.1995.0088
   Web of Science ®Google Scholar
• Dinar, A., & McKinney, D. (2010). Realizing conflict, negotiation, and cooperation concepts in the context of international water courses. Journal of Political Science Education, 6(2), 188–209. https://doi.org/10.1080/15512161003722997
   Google Scholar
• Glouberman, S., & Mintzberg, H. (2001). Managing the care of health and the cure of disease—part i: Differentiation. Health Care Management Review, 26(1), 56–69. https://doi.org/10.1097/00004010-200101000-00006
   PubMed Web of Science ®Google Scholar
• Guerriero, F., & Guido, R. (2011). Operational research in the management of the operating theatre: A survey. Health Care Management Science, 14(1), 89–114. https://doi.org/10.1007/s10729-010-9143-6
   PubMed Web of Science ®Google Scholar
• Gui, C., & Lou, Y. (1994). Uniqueness and nonuniqueness of coexistence states in the lotka-Volterra competition model. Communications on Pure and Applied Mathematics, 47(12), 1571–1594. https://doi.org/10.1002/cpa.3160471203
   Web of Science ®Google Scholar
• Guido, R., & Conforti, D. (2017). A hybrid genetic approach for solving an integrated multi-objective operating room planning and scheduling problem. Computers & Operations Research, 87, :270–282. https://doi.org/10.1016/j.cor.2016.11.009
   Google Scholar
• Harper, P. R. (2002). A framework for operational modelling of hospital resources. Health Care Management Science, 5(3), 165–173. https://doi.org/10.1023/A:1019767900627
   PubMedGoogle Scholar
• Hipel, K. W., & Obeidi, A. (2005). Trade versus the environment: Strategic settlement from a systems engineering perspective. Systems Engineering, 8(3), 211–233. https://doi.org/10.1002/sys.20031
   Google Scholar
• Holler, M. J. (1981). Party Power and Government Formation: A Case Study. In: Holler, M. J. (eds) Power, Voting, and Voting Power. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-00411-1_21
   Google Scholar
• Holm, L. B., & Dahl, F. A. (2009). Simulating the effect of physician triage in the emergency department of Akershus University hospital. In Proceedings of the 2009 winter simulation conference (WSC), 1896–1905, IEEE, Austin, TX, USA, doi:10.1109/WSC.2009.5429204
   Google Scholar
• Holmgren, J., & Persson, M. (2016). An optimization model for sequence dependent parallel operating room scheduling. In: Matta, A., Sahin. E., Li, J., Guinet, A., & Vandaele, N. (eds) Health Care Systems Engineering for Scientists and Practitioners. Springer Proceedings in Mathematics & Statistics, vol 169. (pp. 41–51). Springer, Cham. https://doi.org/10.1007/978-3-319-35132-2_5
   Google Scholar
• Hsu, V. N., De Matta, R., & Lee, C.-Y. (2003). Scheduling patients in an ambulatory surgical center. Naval Research Logistics (NRL), 50(3), 218–238. https://doi.org/10.1002/nav.10060
   Web of Science ®Google Scholar
• Hudak, P. L., & Wright, J. G. (2000). The characteristics of patient satisfaction measures. Spine, 25(24), 3167–3177. https://doi.org/10.1097/00007632-200012150-00012
   PubMed Web of Science ®Google Scholar
• InEK (2005). Institut für das Entgeltsystem im Krankenhaus GmbH, G-DRG Version 2005, Fallpauschalenkatalog; Datenbasis 2003; Final version of 15.09.2004; http://www.g-drg.de
   Google Scholar
• Johnson, R. D., & Levin, I. P. (1985). More than meets the eye: The effect of missing information on purchase evaluations. Journal of Consumer Research, 12(2), 169–177. https://doi.org/10.1086/208505
   Web of Science ®Google Scholar
• Johnston, R. J. (1977). National sovereignty and national power in European institutions. Environment & Planning A, 9(5), 569–577. https://doi.org/10.1068/a090569
   Google Scholar
• Kahil, M. T., Dinar, A., & Albiac, J. (2016). Cooperative water management and ecosystem protection under scarcity and drought in arid and semiarid regions. Water Resources and Economics, 13, :609–74. https://doi.org/10.1016/j.wre.2015.10.001
   Google Scholar
• Kheiri, A., Lewis, R., Thompson, J., & Harper, P. (2020). Constructing operating theatre schedules using partitioned graph colouring techniques. Health Systems, 1–12. https://doi.org/10.1080/20476965.2020.1796530
   Google Scholar
• Koppka, L., Wiesche, L., Schacht, M., & Werners, B. (2018). Optimal distribution of operating hours over operating rooms using probabilities. European Journal of Operational Research, 267(3), 1156–1171. https://doi.org/10.1016/j.ejor.2017.12.025
   Web of Science ®Google Scholar
• Loehman, E., Orlando, J., Tschirhart, J., & Whinston, A. (1979). Cost allocation for a regional wastewater treatment system. Water Resources Research, 15(2), 193–202. https://doi.org/10.1029/WR015i002p00193
   Web of Science ®Google Scholar
• Lu, Q., Zhu, X., & Zhang, R. (2020). A two-phase and integrated multi-objective approach for operating room schedules. In M. Li, M. Dresner, R. Zhang, G. Hua, & X. Shang (Eds.), IEIS2019 (pp. 623–638). Springer.
   Google Scholar
• Ma, G., Demeulemeester, E., & Wang, L. (2009). Solving the strategic case mix problem optimally by using branch-and-price algorithms. In: Proceedings of the 35th international conference on operational research applied to health services (ORAHS). Leuven, Belgium
   Google Scholar
• Macario, A., Dexter, F., & Traub, R. D. (2001). Hospital profitability per hour of operating room time can vary among surgeons. Anesthesia and Analgesia, 93(3), 669–675. https://doi.org/10.1097/00000539-200109000-00028
   PubMed Web of Science ®Google Scholar
• 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: The Journal of the American Society of Anesthesiologists, 83(6), 1138–1144. https://doi.org/10.1097/00000542-199512000-00002
   PubMed Web of Science ®Google Scholar
• Madani, K., & Dinar, A. (2012). Cooperative institutions for sustainable common pool resource management: Application to groundwater. Water Resources Research, 48(9), W09553. https://doi.org/10.1029/2011WR010849
   Google Scholar
• Marco, A. P. (2001). Game theory in the operating room environment. The American Surgeon, 67(1), 92–96. https://www.proquest.com/openview/6ede65c4702de8ef68958c04633aa0d3/1?pq-origsite=gscholar&cbl=36214
   Google Scholar
• Marques, I., Captivo, M. E., & Pato, M. V. (2012). An integer programming approach to elective surgery scheduling. OR Spectrum, 34(2), 407–427. https://doi.org/10.1007/s00291-011-0279-7
   Web of Science ®Google Scholar
• McFadden, D. W., Tsai, M., Kadry, B., & Souba, W. W. (2012). Game theory: Applications for surgeons and the operating room environment. Surgery, 152(5), 915–922. https://doi.org/10.1016/j.surg.2012.06.019
   PubMed Web of Science ®Google Scholar
• Meyer, R. J. (1981). A model of multiattribute judgments under attribute uncertainty and informational constraint. Journal of Marketing Research, 18(4), 428–441. https://doi.org/10.1177/002224378101800404
   Web of Science ®Google Scholar
• Nelson, S. E., Sandberg, W. S., Clifton, J. C., Cui, Y., Shotwell, M. S., & Wanderer, J. P. (2020). Holding some postoperative patients overnight in the post-anesthesia care unit as a tactic to deal with hospital congestion is associated with increased resource length of stay. Perioperative Care and Operating Room Management, 21(5), 100–111. https://doi.org/10.1016/j.pcorm.2020.100111
   Google Scholar
• Nelson, S. E., Sandberg, W. S., Clifton, J. C., Cui, Y., Shotwell, M. S., & Wanderer, J. P. (2020). Holding some postoperative patients overnight in the post-anesthesia care unit as a tactic to deal with hospital congestion is associated with increased resource length of stay. Perioperative Care and Operating Room Management, 21(5), 100–111. https://doi.org/10.1016/j.pcorm.2020.100111
   Google Scholar
• Ozkarahan, I. (2000). Allocation of surgeries to operating rooms by goal programing. Journal of Medical Systems, 24(6), 339–378. https://doi.org/10.1023/A:1005548727003
   PubMedGoogle Scholar
• Powell, A., Savin, S., & Savva, N. (2012). Physician workload and hospital reimbursement: Overworked physicians generate less revenue per patient. Manufacturing & Service Operations Management, 14(4), 512–528. https://doi.org/10.1287/msom.1120.0384
   Google Scholar
• Rohleder, T. R., Sabapathy, D., & Schorn, R. (2005). An operating room block allocation model to improve hospital patient flow. Clinical and Investigative Medicine. Medecine Clinique et Experimentale, 28(6), 353–355
   PubMed Web of Science ®Google Scholar
• Roland, B., Di Martinelly, C., & Riane, F. (2006). Operating theatre optimization: A resource-constrained based solving approach. In 2006 International conference on service systems and service management, 1, 443–448. Troyes, France. doi:10.1109/ICSSSM.2006.320503
   Google Scholar
• Rosenthal, R. W. (1973). A class of games possessing pure-strategy Nash equilibria. International Journal of Game Theory, 2(1), 65–67. https://doi.org/10.1007/BF01737559
   Google Scholar
• Samudra, M., Van Riet, C., Demeulemeester, E., Cardoen, B., Vansteenkiste, N., & Rademakers, F. E. (2016). Scheduling operating rooms: Achievements, challenges and pitfalls. Journal of Scheduling, 19(5), 493–525. https://doi.org/10.1007/s10951-016-0489-6
   Web of Science ®Google Scholar
• Shapley, L. S. (1953). A value for n-person games. In Tucker, A. W. & Kuhn, H. W. (Eds) Contributions to the Theory of Games, Vol. 2(28), 307–317. Princeton: Princeton University Press
   Google Scholar
• Slack, N. (1999). The blackwell encyclopedia of management and encyclopedic dictionaries, the blackwell encyclopedic dictionary of operations management. Wiley–Blackwell.
   Google Scholar
• Stepaniak, P. S., & Pouwels, S. (2017). Balancing demand and supply in the operating room: A study for the cardiothoracic department in a large teaching hospital. Journal of Clinical Anesthesia, 42, 7–8. https://doi.org/10.1016/j.jclinane.2017.07.005
   PubMed Web of Science ®Google Scholar
• Strike, K., El Emam, K., & Madhavji, N. (2001). Software cost estimation with incomplete data. IEEE Transactions on Software Engineering, 27(10), 890–908. https://doi.org/10.1109/32.962560
   Web of Science ®Google Scholar
• Strum, D. P., May, J. H., & Vargas, L. G. (2000). Modeling the uncertainty of surgical procedure times: Comparison of log-normal and normal models. The Journal of the American Society of Anesthesiologists, 92(4), 1160–1167. https://doi.org/10.1097/00000542-200004000-00035
   PubMed Web of Science ®Google Scholar
• Tap, H. J., & Schut, F. T. (1987). Escaping from the dual organization: Physician self-governance. The International Journal of Health Planning and Management, 2(3), 229–242. https://doi.org/10.1002/hpm.4740020307
   PubMedGoogle Scholar
• Teasley, R. L., & McKinney, D. C. (2011). Calculating the benefits of transboundary river basin cooperation: Syr Darya Basin. Journal of Water Resources Planning and Management, 137(6), 481–490. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000141
   Web of Science ®Google Scholar
• Tecle, A., Shrestha, B. P., & Duckstein, L. (1998). A multiobjective decision support system for multiresource forest management. Group Decision and Negotiation, 7(1), 23–40. https://doi.org/10.1023/A:1008671129325
   Web of Science ®Google Scholar
• Testi, A., & Tànfani, E. (2009). Tactical and operational decisions for operating room planning: Efficiency and welfare implications. Health Care Management Science, 12(4), 363. https://doi.org/10.1007/s10729-008-9093-4
   PubMed Web of Science ®Google Scholar
• Testi, A., Tanfani, E., & Torre, G. (2007). A three-phase approach for operating theatre schedules. Health Care Management Science, 10(2), 163–172. https://doi.org/10.1007/s10729-007-9011-1
   PubMedGoogle Scholar
• Timuçin, T., & Biroğul, S. (2019). Effect the number of reservations on implementation of operating room scheduling with genetic algorithm. In D. Hemanth & U. Kose (Eds.), Artificial intelligence and applied mathematics in engineering problems. ICAIAME 2019 Lecture Notes on Data Engineering and Communications Technologies (Vol. 43, pp. 252–265). Springer
   Google Scholar
• Van Riet, C., & Demeulemeester, E. (2015). Trade-offs in operating room planning for electives and emergencies: A review. Operations Research for Health Care, 7, :52–69. https://doi.org/10.1016/j.orhc.2015.05.005
   Google Scholar
• Wang, G., Feng, X., & Chu, K. H. (2013). A novel approach for stability analysis of industrial symbiosis systems. Journal of Cleaner Production, 39, 9–16. https://doi.org/10.1016/j.jclepro.2012.08.031
   Web of Science ®Google Scholar
• Zhang, B., Murali, P., Dessouky, M., & Belson, D. (2009). A mixed integer programming approach for allocating operating room capacity. Journal of the Operational Research Society, 60(5), 663–673. https://doi.org/10.1057/palgrave.jors.2602596
   Web of Science ®Google Scholar
• Zhu, S., Fan, W., Yang, S., Pei, J., & Pardalos, P. M. (2019). Operating room planning and surgical case scheduling: A review of literature. Journal of Combinatorial Optimization, 37(3), 757–805. https://doi.org/10.1007/s10878-018-0322-6
   Web of Science ®Google Scholar