A Data-Driven Model of an Appointment-Generated Arrival Process at an Outpatient Clinic

We develop a high-fidelity simulation model of the patient arrival process to an endocrinology clinic by carefully examining appointment and arrival data from that clinic. The data include the time that the appointment was originally made as well as the time that the patient actually arrived, as well as if the patient did not arrive at all, in addition to the scheduled appointment time. We take a data-based approach, specifying the schedule for each day by its value at the end of the previous day. This data-based approach shows that the schedule for a given day evolves randomly over time. Indeed, in addition to three recognized sources of variability—(i) no-shows, (ii) extra unscheduled arrivals, and (iii) deviations in the actual arrival times from the scheduled times—we find that the primary source of variability in the arrival process is variability in the daily schedule itself. Even though service systems with arrivals by appointment can differ in many ways, we think that our data-based approach to mo...

[1]  Peter W. Glynn,et al.  Fractional Brownian Motion with H < 1/2 as a Limit of Scheduled Traffic , 2012, J. Appl. Probab..

[2]  N. V. Rajeswari,et al.  Coping with Time , 2004 .

[3]  Amy R. Ward,et al.  On Transitory Queueing , 2014, ArXiv.

[4]  N. Bailey A Study of Queues and Appointment Systems in Hospital Out‐Patient Departments, with Special Reference to Waiting‐Times , 1952 .

[5]  Oualid Jouini,et al.  Queueing Systems with Appointment-Driven Arrivals, Non-Punctual Customers, and No-Shows , 2005 .

[6]  Jim Freeman,et al.  Stochastic Processes (Second Edition) , 1996 .

[7]  Ward Whitt,et al.  Poisson and non-Poisson properties in appointment-generated arrival processes: The case of an endocrinology clinic , 2015, Oper. Res. Lett..

[8]  Ward Whitt,et al.  Are Call Center and Hospital Arrivals Well Modeled by Nonhomogeneous Poisson Processes? , 2014, Manuf. Serv. Oper. Manag..

[9]  C. G. Moore,et al.  Time and money: effects of no-shows at a family practice residency clinic. , 2001, Family medicine.

[10]  Herbert Moskowitz,et al.  Improving patient flow at an outpatient clinic: study of sources of variability and improvement factors , 2009, Health care management science.

[11]  W. Whitt,et al.  Choosing arrival process models for service systems: Tests of a nonhomogeneous Poisson process , 2014 .

[12]  V Allgar,et al.  Missed appointments in general practice: retrospective data analysis from four practices. , 2001, The British journal of general practice : the journal of the Royal College of General Practitioners.

[13]  Nan Liu,et al.  Panel Size and Overbooking Decisions for Appointment-Based Services under Patient No-Shows , 2014 .

[14]  Nan Liu,et al.  Managing Appointment Booking Under Customer Choices , 2016, Manag. Sci..

[15]  Ward Whitt,et al.  Approximating a Point Process by a Renewal Process, I: Two Basic Methods , 1982, Oper. Res..

[16]  Emre A. Veral,et al.  OUTPATIENT SCHEDULING IN HEALTH CARE: A REVIEW OF LITERATURE , 2003 .

[17]  Sheldon M. Ross,et al.  Stochastic Processes , 2018, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics.

[18]  Michael Pinedo,et al.  Appointment scheduling with no-shows and overbooking , 2014 .

[19]  Kumar Muthuraman,et al.  Sequential clinical scheduling with patient no-shows and general service time distributions , 2010 .

[20]  Vidyadhar G. Kulkarni,et al.  Appointment Scheduling Under Patient No-Shows and Service Interruptions , 2012, Manuf. Serv. Oper. Manag..

[21]  Nan Liu,et al.  Managing Appointment Scheduling under Patient Choices , 2016 .

[22]  Diwakar Gupta,et al.  A Sequential Bounding Approach for Optimal Appointment Scheduling , 2003 .

[23]  R. Hall Patient flow : reducing delay in healthcare delivery , 2006 .

[24]  Oualid Jouini,et al.  Service Systems with Finite and Heterogeneous Customer Arrivals , 2014, Manuf. Serv. Oper. Manag..

[25]  Ming Guo,et al.  Outpatient clinic scheduling - a simulation approach , 2004, Proceedings of the 2004 Winter Simulation Conference, 2004..

[26]  Randolph W. Hall,et al.  Handbook of healthcare system scheduling , 2012 .

[27]  Ward Whitt,et al.  A Queueing Network Analyzer for Manufacturing , 1989 .

[28]  Refael Hassin,et al.  Scheduling Arrivals to Queues: A Single-Server Model with No-Shows , 2008, Manag. Sci..

[29]  Nan Liu,et al.  Dynamic Scheduling of Outpatient Appointments Under Patient No-Shows and Cancellations , 2010, Manuf. Serv. Oper. Manag..

[30]  R. B. Fetter,et al.  The Simulation of Hospital Systems , 1965 .

[31]  R. Hall,et al.  Patient flow : reducing delay in healthcare delivery , 2006 .

[32]  G. Swartzman,et al.  The patient arrival process in hospitals: statistical analysis. , 1970, Health services research.

[33]  W. Whitt,et al.  The Queueing Network Analyzer , 1983, The Bell System Technical Journal.

[34]  Γπλακηθή δξνκνιόγεζε,et al.  Dynamic Scheduling , 2008 .

[35]  Sheldon Howard Jacobson,et al.  Application of discrete-event simulation in health care clinics: A survey , 1999, J. Oper. Res. Soc..

[36]  Richard J. Boucherie,et al.  Queuing Networks in Healthcare Systems , 2012 .

[37]  Norman T. J. Baii A STUDY OF QUEUES AND APPOINTMENT SYSTEMS IN HOSPITAL OUT-PATIENT DEPARTMENTS, WITH SPECIAL REFERENCE TO WAITING-TIMES , 1952 .

[38]  Ger Koole,et al.  Optimal outpatient appointment scheduling , 2007, Health care management science.

[39]  J. D. Welch,et al.  Appointment systems in hospital outpatient departments. , 1952, Lancet.

[40]  L. Green,et al.  Providing timely access to care: what is the right patient panel size? , 2007, Joint Commission journal on quality and patient safety.

[41]  Matthew Rosenshine,et al.  Scheduling arrivals to queues , 1990, Comput. Oper. Res..

[42]  Christos Zacharias,et al.  Joint Panel Sizing and Appointment Scheduling in Outpatient Care , 2017, Manag. Sci..

[43]  Shane N. Hall,et al.  Discrete-event simulation of health care systems , 2013 .

[44]  Diwakar Gupta,et al.  Appointment scheduling in health care: Challenges and opportunities , 2008 .

[45]  Ward Whitt,et al.  Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System , 2007 .

[46]  Susan L. Albin,et al.  Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues , 1984, Oper. Res..

[47]  B. D. Spencer,et al.  APPOINTMENT SYSTEMS IN HOSPITAL OUTPATIENT DEPARTMENTS , 1952 .

[48]  Paul R. Harper,et al.  Reduced outpatient waiting times with improved appointment scheduling: a simulation modelling approach , 2003, OR Spectr..

[49]  Nan Liu,et al.  Appointment Scheduling Under Patient Preference and No-Show Behavior , 2014, Oper. Res..

[50]  Amy R. Ward,et al.  A queueing model with independent arrivals, and its fluid and diffusion limits , 2015, Queueing Syst. Theory Appl..

[51]  Osman Balci,et al.  Modeling and analyzing a physician clinic environment using discrete-event (visual) simulation , 2001, Comput. Oper. Res..