Abstract
Outpatient appointment system design is a complex problem because it involves multiple stakeholders, sequential booking process, random arrivals, no-shows, varying degrees of urgency of different patients’ needs, service time variability, and patient and provider preferences. Clinics use a two-step process to manage appointments. In the first step, which we refer to as the clinic profile setup problem, service providers’ daily clinic time is divided into appointment slots. In the second step, which we refer to as the appointment booking problem, physicians’ offices decide which available slots to book for each incoming request for an appointment. In this chapter, we present formulations of mathematical models of key problems in the area of appointment system design. We also discuss the challenges and complexities of solving such problems. In addition, summaries of prior research, particularly advanced models related to the examples shown in this chapter are also presented.
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Notes
- 1.
Patients seeking the services of these and surgical specialists usually need a referral for their first appointment. In contrast, patients may book appointments with physicians belonging to the primary-care category without a referral.
- 2.
Percent of visits to solo practices declined from about 39% in 1997 to about 31% in 2007.
- 3.
Note that the current period is indexed 1.
- 4.
This is the national average visit rate.
- 5.
Note that no-shows can be modeled in this setup by assigning a non-zero probability (equal to no-show probability) to the event that the service time is zero (in case of a no-show) while ensuring that patients who do not show up do not incur a waiting cost.
References
Barron W (1980) Failed appointments. Who misses them, why they are missed, and what can be done. Prim Care 7(4):563–574
Bean AG, Talaga G (1992) Appointment breaking: causes and solutions. J Health Care Mark 12(4):14–25
Begen MA, Queyranne M (2009) Appointment scheduling with discrete random durations. In: Proceedings of the twentieth annual ACM-SIAM symposium on discrete algorithms, Society for Industrial and Applied Mathematics, Philadelphia, SODA ’09, pp 845–854
Begen MA, Levi R, Queyranne M (2011) A Sampling-Based Approach to Appointment Scheduling. http://www.ivey.uwo.ca/faculty/MBegen/
Birge JR, Louveaux F (1997) Introduction to stochastic programming. Springer Series in Operations Research and Financial Engineering, New York
Buzacott JA, Shanthikumar JG (1993) Stochastic models of manufacturing systems. Prentice Hall, Englewood Cliffs
Campbell JR, Szilagyi PG, Rodewald LE, Doane C, Roghmann KJ (1994) Patient-specific reminder letters and pediatric well-child-care show rates. Clin Pediatr 33(5):268–272
Carlson B (2002) Same-day appointments promise increased productivity. Manag Care 11(12):43–44
Cashman SB, Savageau JA, Lemay CA, Ferguson W (2004) Patient health status and appointment keeping in an urban community health center. J Health Care Poor Underserved 15(3):474–488
Cayirli T, Veral E (2003) Outpatient scheduling in health care: A review of literature. Prod Oper Manag 12(4):519–549
Chen RR, Robinson LW (2011) Sequencing and scheduling appointments with potential call-in patients (Working Paper). http://ssrn.com/abstract=1871125
Cheraghi-Sohi S, Hole A, Mead N, McDonald R, Whalley D, Bower P, Roland M (2008) What patients want from primary care consultations: a discrete choice experiment to identify patients’ priorities. Ann Fam Med 6(2):107–115
Clague JE, Reed PG, Barlow J, Rada R, Clarke M, Edwards RH (1997) Improving outpatient clinic efficiency using computer simulation. Int J Health Care Qual Assur Inc Leadersh Health Serv 10(4-5):197–201
Denton B, Gupta D (2003) A sequential bounding approach for optimal appointment scheduling. IIE Trans 35(11):1003–1016
Dervin JV, Stone DL, Beck CH (1978) The no-show patient in the model family practice unit. J Fam Pract 7(6):1177–1180
Deyo RA, Inui TS (1980) Dropouts and broken appointments: a literature review and agenda for future research. Med Care 18(11):1146–1157
Dobson G, Hasija S, Pinker EJ (2011) Reserving capacity for urgent patients in primary care. Prod Oper Manag 20:456–473
Doescher MP, Saver BG, Fiscella K, Franks P (2004) Preventive care: does continuity count. J Gen Intern Med 19(6):632–637
Elkhuizen SG, Das SF, Bakker PJM, Hontelez JAM (2007) Using computer simulation to reduce access time for outpatient departments. Qual Saf Health Care 16(5):382–386
Fosarelli P, DeAngelis C, Kaszuba A (1985) Compliance with follow-up appointments generated in a pediatric emergency room. Am J Prev Med 1(3):23–29
Foster EM, Hosking MR, Ziya S (2010) A spoonful of math helps the medicine go down:an illustration of how health care can benefit frommathematical modeling and analysis. BMC Med Res Methodol 10:60–70
Gallucci G, Swartz W, Hackerman F (2005) Brief reparts: impact of the wait for an initial appointment on the rate of kept appointments at a mental health center. Psychiatr Serv 56:344–346
Gerchak Y, Gupta D, Henig M (1996) Reservation planning for elective surgery under uncertain demand for emergency surgery. Manag Sci 42(3):321–334
Goldman L, Freidin R, Cook EF, Eigner J, Grich P (1982) A multivariate approach to the prediction of no-show behavior in a primary care center. Arch Intern Med 142(3):563–567
Green LV, Savin S (2008) Reducing delays for medical appointments: a queueing approach. Oper Res 56(6):1526–1538
Green LV, Savin S, Wang B (2006) Managing patient service in a diagnostic medical facility. Oper Res 54(1):11–25
Green LV, Savin S, Murray M (2007) Providing timely access to care: what is the right patient panel size. Jt Comm J Qual Patient Saf 33(4):211–218
Gruzd DC, Shear CL, Rodney WM (1986) Determinants of no-show appointment behavior: the utility of multivariate analysis. Fam Med (18):4
Gul S, Denton B, Fowler J, Huschka T (2011) Bi-criteria scheduling of surgical services for an outpatient procedure center. Prod Oper Manag doi:10.1111/j.1937-5956.2011.01232.x. http://dx.doi.org/10.1111/j.1937-5956.2011.01232.x
Gupta D, Denton B (2008) Appointment scheduling in health care: challenges and opportunities. IIE Trans 40:800–819
Gupta D, Wang L (2008) Revenue management for a primary care clinic in the presence of patient choice. Oper Res 56(3):576–592
Gupta D, Potthoff S, Blowers D, Corlett J (2006) Performance metrics for advanced access. J Health care Manag 51(4):246–259
Guse CE, Richardson L, Carle M, Schmidt K (2003) The effect of exit-interview patient education on no-show rates at a family practice residency clinic. J Am Board Fam Pract 16:399–404
Ho CJ, Lau HS (1992) Minimizing total cost in scheduling outpatient appointments. Manag Sci 38(12):1750–764
Hsiao CJ, Cherry DK, Beatty PC, Rechtsteiner EA (2010) National ambulatory medical survey report: 2007 summary. National health statistics reports, Number 27 Available on the web at http://www.cdc.gov/nchs/data/nhsr/nhsr027.pdf, Cited March 7, 2011
Irwin CE Jr, Millstein SG, Shafer MAB (1981) Appointment-keeping behavior in adolescents. J Pediatr 99(5):799–802
Jennings BM, Loan LA, Heiner SL, Hemman EA, Swanson KM (2005) Soldiers’ experiences with military health care. Mil Med 170(12):999–1004
Johnson SE, Newton WP (2002) Resource-based relative value units: a primer for academic family physicians. Fam Med 34(3):172–176
Kaandorp GC, Koole G (2007) Optimal outpatient appointment scheduling. Health Care Manag Sci 10:217–229
Kaplan EH, Johri M (2000) Treatment on demand: an operational model. Health Care Manag Sci 3(3):171–83
Kim S, Giachetti R (2006) A stochastic mathematical appointment overbooking model for health care providers to improve profits. IEEE Trans Syst, Man Cybern—Part A: Syst 36(6):1211–19
Kong Q, Lee CY, C-P T, Zheng Z (2010) Scheduling arrivals to a stochastic service delivery system using copositive cones (Working paper)
Lacy NL, Paulman A, Reuter MD, Lovejoy B (2004) Why we don’t come: patient perceptions on no-shows. Ann Fam Med 2:541–545
LaGanga LR, Lawrence SR (2007) Clinic overbooking to improve patient access and increase provider productivity. Decis Sci 38(2):251–276
Lee CS, McCormick PA (2003) Telephone reminders to reduce non-attendance rate for endoscopy. J R Soc Med 96(11):547–548
Lee V, Earnest A, Chen M, Krishnan B (2005) Predictors of failed attendances in a multi-specialty outpatient centre using electronic databases. BMC Health Serv Res 5(1):51
Liu N, Ziya S, Kulkarni VG (2010) Dynamic scheduling of outpatient appointments under patient no-shows and cancellations. Manuf Serv Oper Manag 12(2):347–364
Mandel D, Zimlichman E, Wartenfeld R, Vinker S, Mimouni FB, Kreiss Y (2003) Primary care clinic size and patient satisfaction in a military setting. Am J Med Qual 18(6):251–255 November/December
Melnikow J, Kiefe C (1994) Patient compliance and medical research. J Gen Intern Med 9(2):96–105
Mitchell AJ, Selmes T (2007) Why don’t patients attend their appointments? Maintaining engagement with psychiatric services. Adv Psychiatr Treat 13:423–434
Mitchell V (2008) Same-day booking. Can Fam Phys 54(3):379–383
Murray M, Davies M, Boushon B (2007) Panel size: how many patients can one doctor manage?. Fam Pract Manag 14(4):44–51
Muthuraman K, Lawley M (2008) A stochastic overbooking model for outpatient clinical scheduling with no-shows. IIE Trans 40:820–837
Neal R, Hussain-Gambles M, Allgar V, Lawlor D, Dempsey O (2005) Reasons for and consequences of missed appointments in general practice in the UK: questionnaire survey and prospective review of medical records. BMC Fam Pract 6(1):47 doi:10.1186/1471-2296-6-47
Neinstein LS (1982) Lowering broken appointment rates at a teenage health center. J Adolesc Health Care 3(2):110–113
O’Hare CD, Corlett J (2004) The outcomes of open-access scheduling. Fam Pract Manag 11(1):35–38
Olowokure B, Caswell M, Duggal H (2006) What women want: convenient appointment times for cervical screening tests. Eur J Cancer Care 15:489–492
Patrick J, Puterman ML, Queyranne M (2008) Dynamic multipriority patient scheduling for a diagnostic resource. Oper Res 56(6):1507–1525
Plantinga LC, Fink NE, Finkelstein FO, Powe NR, Jaar BG (2009) Association of peritoneal dialysis clinic size with clinical outcomes. Perit Dial Int 29(3):285–291
Puterman ML (1994) Markov decision processes: discrete stochastic dynamic programming. Wiley, New York
Robinson LW, Chen RR (2003) Scheduling doctors’ appointments: optimal and empirically-based heuristic policies. IIE Trans 35(3):295–307
Robinson LW, Chen RR (2010) A comparison of traditional and open-access policies for appointment scheduling. Manuf Serv Oper Manag 12:330–346
Robinson LW, Chen RR (2010) Estimating the implied value of the customer’s waiting time. Manuf Serv Oper Manag 13:53–57
Roth JP, Kula TJ, Jr, Glaros A, Kula K (2004) Effect of a computer-generated telephone reminder system on appointment attendance. Seminars in orthodontics 10(3):190–193, doi:10.1053/j.sodo.2004.05.001, technology in the Orthodontic Office
Schoenmeyr T, Dunn PF, Gamarnik D, Levi R, Berger DL, Daily BJ, Levine WC, Sandberg WS (2009) A model for understanding the impacts of demand and capacity on waiting time to enter a congested recovery room. Anesthesiology 110(6):1293–304
Smith CM, Yawn BP (1994) Factors associated with appointment keeping in a family practice residency clinic. J Fam Pract 38(1):25–29
Starkenburg RJ, Rosner F, Crowley K (1988) Missed appointments among patients new to a general medical clinic. N Y State J Med 88(9):437–435
Wang WY, Gupta D (2011) Adaptive appointment systems with patient preferences. Manuf Serv Oper Manag 13(3):53–57
Weiss EN (1990) Models for determining estimated start times and case orderings in hospital operating rooms. IIE Trans 22(2):143–150
Whittle J, Schectman G, Lu N, Baar B, Mayo-Smith MF (2008) Relationship of scheduling interval to missed and cancelled clinic appointments. J Ambul Care Manag 31(4):290–302
Zeng B, Turkcan A, Lin J, Lawley M (2010) Clinic scheduling models with overbooking for patients with heterogeneous no-show probabilities. Ann Oper Res 178(1):121–144
Acknowledgments
The authors are grateful to Dr. Brian Hertz, Internal Medicine, Hines VA Medical Center and Associate Professor of Internal Medicine, Loyola University, Chicago, for his comments and suggestions for improving an earlier version of this chapter.
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Gupta, D., Wang, WY. (2012). Patient Appointments in Ambulatory Care. In: Hall, R. (eds) Handbook of Healthcare System Scheduling. International Series in Operations Research & Management Science, vol 168. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-1734-7_4
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