Abstract
A fundamental activity in hospital operations is patient assignment, which we define as the process of assigning hospital patients to specific physician services and clinical units based on their diagnosis. When the preferred assignment is not possible, typically due to capacity limits, hospitals often allow for overflow, which is the assignment of patients to other services and/or units. Overflow accelerates assignment, but can also reduce care quality and increase length of stay. This paper develops a discrete-event simulation model to evaluate different assignment strategies. Using a simulation-based optimization approach, we evaluate and heuristically optimize these strategies accounting for expected hospital and physician profit, care quality and patient waiting time. We apply the model using data from the University of Chicago Medical Center. We find that the strategies that use heuristically optimized designation of overflow services and units increase expected profit relative to the capacity-based strategy in which overflow patients are assigned to a service and unit with the most available capacity. We also find further improvement in the strategy that uses heuristically optimized overflow services and units as well as a holding unit that holds patients until a bed in their primary or secondary unit becomes available. Additionally, we demonstrate the effects of these strategies on other performance measures such as patient concentration, waiting time, and outcomes.
Similar content being viewed by others
References
Dai J, Shi P (2018) Inpatient overflow: an approximate dynamic programming approach. Manufacturing and Service Operations Management (MSOM). Available at SSRN: https://doi.org/10.2139/ssrn.2924208
Vissers JM (1998) Patient flow-based allocation of inpatient resources: a case study. Eur J Oper Res 105(2):356–370
Centers for Medicare and Medicaid Services (2015) CMS policy manual chapter 20.6.A outpatient observation services. Revision 215
American Hospital Association (2010) The state of America’s hospitals - taking the pulse. http://www.aha.org/content/00-10/100524-thschartpk.pdf. Accessed 6 March 2019
Best TJ, Sandıkçı B, Eisenstein DD, Meltzer DO (2015) Managing hospital inpatient bed capacity through partitioning care into focused wings. Manuf Serv Oper Manag 17(2):157–176
Wernz C, Zhang H, Phusavat K (2014) International study of technology investment decisions at hospitals. Ind Manag Data Syst 114(4):568–582
Eriksson CO, Stoner RC, Eden KB, Newgard CD, Guise JM (2017) The association between hospital capacity strain and inpatient outcomes in highly developed countries: a systematic review. J Gen Intern Med 32(6):686–696
Petersen LA et al (1994) Does housestaff discontinuity of care increase the risk for preventable adverse events? Ann Intern Med 121(11):866–872
Blecker S, Shine D, Park N, Goldfeld K, Scott Braithwaite R, Radford MJ, Gourevitch MN (2014) Association of weekend continuity of care with hospital length of stay. Int J Qual Health Care 26(5):530–537
Kc DS, Terwiesch C (2011) The effects of focus on performance: evidence from California hospitals. Manag Sci 57(11):1897–1912
Singh S, Fletcher KE (2014) A qualitative evaluation of geographical localization of hospitalists: how unintended consequences may impact quality. J Gen Intern Med 29(7):1009–1016
De Bruin AM et al (2007) Modeling the emergency cardiac in-patient flow: an application of queuing theory. Health Care Management Science 10(2):125–137
Thompson S, Nunez M, Garfinkel R, Dean MD (2009) OR practice—efficient short-term allocation and reallocation of patients to floors of a hospital during demand surges. Oper Res 57(2):261–273
Zhang H, Wernz C, Slonim AD (2016) Aligning incentives in health care: a multiscale decision theory approach. EURO Journal on Decision Processes 4(3–4):219–244
Zhang H, Wernz C, Hughes DR (2018) A stochastic game analysis of incentives and behavioral barriers in chronic disease management. Service Science 10(3):302–319
Jun J, Jacobson SH, Swisher J (1999) Application of discrete-event simulation in health care clinics: a survey. J Oper Res Soc 50(2):109–123
Eldabi T, Paul R, Young T (2007) Simulation modelling in healthcare: reviewing legacies and investigating futures. J Oper Res Soc 58(2):262–270
Lee EK, Atallah HY, Wright MD, Post ET, Thomas C IV, Wu DT, Haley LL Jr (2015) Transforming hospital emergency department workflow and patient care. Interfaces 45(1):58–82
Peck JS, Benneyan JC, Nightingale DJ, Gaehde SA (2014) Characterizing the value of predictive analytics in facilitating hospital patient flow. IIE Transactions on Healthcare Systems Engineering 4(3):135–143
Kusters RJ, Groot PM (1996) Modelling resource availability in general hospitals design and implementation of a decision support model. Eur J Oper Res 88(3):428–445
McClain JO (1976) Bed planning using queuing theory models of hospital occupancy: a sensitivity analysis. Inquiry 13(2):167–176
Lakshmi C, Iyer SA (2013) Application of queueing theory in health care: a literature review. Operations Research for Health Care 2(1):25–39
Helm JE, AhmadBeygi S, Van Oyen MP (2011) Design and analysis of hospital admission control for operational effectiveness. Prod Oper Manag 20(3):359–374
McManus ML, Long MC, Cooper A, Litvak E (2004) Queuing theory accurately models the need for critical care resources. Anesthesiology: The Journal of the American Society of Anesthesiologists 100(5):1271–1276
Bekker R, de Bruin AM (2010) Time-dependent analysis for refused admissions in clinical wards. Ann Oper Res 178(1):45–65
Gurvich I, Perry O (2012) Overflow networks: approximations and implications to call center outsourcing. Oper Res 60(4):996–1009
Litvak N, van Rijsbergen M, Boucherie RJ, van Houdenhoven M (2008) Managing the overflow of intensive care patients. Eur J Oper Res 185(3):998–1010
Asaduzzaman M, Chaussalet TJ, Robertson NJ (2010) A loss network model with overflow for capacity planning of a neonatal unit. Ann Oper Res 178(1):67–76
Mandelbaum A, Momčilović P, Tseytlin Y (2012) On fair routing from emergency departments to hospital wards: QED queues with heterogeneous servers. Manag Sci 58(7):1273–1291
Gans N, Koole G, Mandelbaum A (2003) Telephone call centers: tutorial, review, and research prospects. Manuf Serv Oper Manag 5(2):79–141
Willemain TR (1974) Approximate analysis of a hierarchical queuing network. Oper Res 22(3):522–544
Green L (1984) A queueing system with auxiliary servers. Manag Sci 30(10):1207–1216
Whitt W (1985) Blocking when service is required from several facilities simultaneously. AT&T Technical Journal 64(8):1807–1856
Choudhury GL, Leung KK, Whitt W (1995) An algorithm to compute blocking probabilities in multi-rate multi-class multi-resource loss models. Adv Appl Probab 27(04):1104–1143
Chan CW, Dong J, Green LV (2016) Queues with time-varying arrivals and inspections with applications to hospital discharge policies. Oper Res 65(2):469–495
Bapat V, Pruitte EB (1998) Using simulation in call centers. In: Proceedings of the 1998 Winter Simulation Conference (Cat. No. 98CH36274). IEEE, Washington, DC, vol 2, pp 1395–1399
Jahangirian M, Eldabi T, Naseer A, Stergioulas LK, Young T (2010) Simulation in manufacturing and business: a review. Eur J Oper Res 203(1):1–13
Günal MM, Pidd M (2010) Discrete event simulation for performance modelling in health care: a review of the literature. Journal of Simulation 4(1):42–51
Connelly LG, Bair AE (2004) Discrete event simulation of emergency department activity: a platform for system-level operations research. Acad Emerg Med 11(11):1177–1185
Jacobson SH, Hall SN, Swisher JR (2006) Discrete-event simulation of health care systems. In: Patient flow: reducing delay in healthcare delivery. Springer, Boston, pp 211–252
Dittus RS, Klein RW, DeBrota DJ, Dame MA, Fitzgerald JF (1996) Medical resident work schedules: design and evaluation by stimulation modeling. Manag Sci 42(6):891–906
Vasilakis C, Sobolev BG, Kuramoto L, Levy AR (2007) A simulation study of scheduling clinic appointments in surgical care: individual surgeon versus pooled lists. J Oper Res Soc 58(2):202–211
Arnolds I, et al (2012) Using simulation in hospital layout planning. In: Proceedings of the Winter Simulation Conference. Winter Simulation Conference
Griffin J, Xia S, Peng S, Keskinocak P (2012) Improving patient flow in an obstetric unit. Health Care Management Science 15(1):1–14
Zhu Z, Hoon Hen B, Liang Teow K (2012) Estimating ICU bed capacity using discrete event simulation. International Journal of Health Care Quality Assurance 25(2):134–144
Kim S-C, Horowitz I, Young KK, Buckley TA (1999) Analysis of capacity management of the intensive care unit in a hospital. Eur J Oper Res 115(1):36–46
Pehlivan C (2014) Design and flow control of stochastic health care networks without waiting rooms: A perinatal application. EMSE, Saint-Etienne
Health Facilities & Services Review Board (2015) Individual hospital profiles by hospital name, 2015: https://www.illinois.gov/sites/hfsrb/InventoriesData/FacilityProfiles/Documents/2015%20Hospital%20Profile%209-23-2016.pdf. Accessed 6 March 2019
Schencker L U. of C. trauma center gains final state approval, set to open May 1. 2018; Available from: http://www.chicagotribune.com/business/ct-biz-trauma-center-approval-0410-story.html. Accessed 6 March 2019
Nelson J (2010) Surge protection. [cited 9; Available from: http://www.the-hospitalist.org/hospitalist/article/124223/surge-protection. Accessed 6 March 2019
Meltzer DO, Ruhnke GW (2014) Redesigning care for patients at increased hospitalization risk: the comprehensive care physician model. Health Aff 33(5):770–777
Yi L, Seo H-B (2012) The effect of hospital unit layout on nurse walking behavior. HERD: Health Environments Research & Design Journal 6(1):66–82
Hendrich AL, Fay J, Sorrells AK (2004) Effects of acuity-adaptable rooms on flow of patients and delivery of care. Am J Crit Care 13(1):35–45
Clark JR, Huckman RS (2012) Broadening focus: spillovers, complementarities, and specialization in the hospital industry. Manag Sci 58(4):708–722
Kwoka JE Jr (1985) The Herfindahl index in theory and practice. Antitrust Bull 30:915
Hyer NL, Wemmerlöv U, Morris JA (2009) Performance analysis of a focused hospital unit: the case of an integrated trauma center. J Oper Manag 27(3):203–219
Centers for Medicare and Medicaid Services (2016) Details for title: FY 2016 Final Rule, Correction notice and consolidated appropriations act of 2016 tables
Centers for Medicare and Medicaid Services (2017) Hospital-Acquired Condition Reduction Program (HACRP)
O’Leary MB, Cummings JN (2007) The spatial, temporal, and configurational characteristics of geographic dispersion in teams. MIS Q 31:433–452
Chiam TC, Pelletier L, Forster R (2013) Geographic cohorting–an industrial engineering approach to reducing waste. Journal of the Society for Healthcare Improvement Professionals 2:1–12
Thao C, Luraschi M, Shigemitsu H, Schreiber M (2014) The impact of geographic location on patient outcomes within a single institution’s ICU system. Chest 146(4):497A
Yaesoubi R, Roberts SD (2010) A game-theoretic framework for estimating a health purchaser’s willingness-to-pay for health and for expansion. Health Care Management Science 13(4):358–377
Zhang H, Wernz C, Hughes DR (2018) Modeling and designing health care payment innovations for medical imaging. Health Care Management Science 21(1):37–51
de Bruin AM, Bekker R, van Zanten L, Koole GM (2010) Dimensioning hospital wards using the Erlang loss model. Ann Oper Res 178(1):23–43
Balintfy, Joseph L. (1962) Mathematical models and analysis of certain stochastic processes in general hospitals. Doctoral dissertation. Johns Hopkins University, Baltimore
Hilbe JM (2011) Negative binomial regression, 2nd edn. Cambridge University Press, Cambridge
McClean S, Millard P (1993) Patterns of length of stay after admission in geriatric medicine: an event history approach. Journal of the Royal Statistical Society: Series D (The Statistician) 42(3):263–274
Eskandari H, et al (2011) Performance analysis of comercial simulation-based optimization packages: OptQuest and Witness Optimizer. in Proceedings of the Winter Simulation Conference. Winter Simulation Conference
Rockwell Automation (2004) OptQuest for Arena User’s Guide. Rockwell Software Inc. https://karenrempel.com/wp-content/uploads/2009/11/arena-optquest-users-guide.pdf. Accessed 6 March 2019
Ho Y-C (1999) An explanation of ordinal optimization: soft computing for hard problems. Inf Sci 113(3–4):169–192
Altiok T, Melamed B (2010) Simulation modeling and analysis with Arena. Elsevier
Health Facilities & Services Review Board (2016) Individual hospital profiles by hospital name, 2016: https://www2.illinois.gov/sites/hfsrb/InventoriesData/FacilityProfiles/Documents/Individual%20Hospital%20Facility%20Profiles%20-%202016.pdf. Accessed 6 March 2019
Health Facilities & Services Review Board (2017) Individual hospital profiles by hospital name, 2017: https://www2.illinois.gov/sites/hfsrb/InventoriesData/FacilityProfiles/Documents/2017%20Individual%20Hospital%20Profiles%2012-7-2018.pdf. Accessed 6 March 2019
Green LV (2002) How many hospital beds? INQUIRY: The Journal of Health Care Organization, Provision, and Financing 39(4):400–412
Illinois Department of Public Health (2019) Illinois Hospital Report Card and Consumer Guide to Health Care, University of Chicago Medicine, Services, Emergency Department Services
Acknowledgements
The authors gratefully acknowledge the financial support from the University of Chicago Medical Center and Becker Friedman Institute Health Economics Initiative. The authors also thank the University of Chicago Medical Center and the University of Chicago Biological Sciences Division Center for Research Informatics for providing data and for discussing our model design, especially Julie Johnson, Vikas Ghayal, and George Einhorn.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Appendix
Appendix
Rights and permissions
About this article
Cite this article
Zhang, H., Best, T.J., Chivu, A. et al. Simulation-based optimization to improve hospital patient assignment to physicians and clinical units. Health Care Manag Sci 23, 117–141 (2020). https://doi.org/10.1007/s10729-019-09483-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10729-019-09483-3