Asymptotically Optimal Appointment Schedules

Published Online:https://doi.org/10.1287/moor.2018.0973

References

  • [1] Araman VF, Glynn PW (2012) Fractional Brownian motion with H \lt 1/2 as a limit of scheduled traffic. J. Appl. Prob. 49(3):710–718.CrossrefGoogle Scholar
  • [2] Avriel M, Williams A (1970) The value of information and stochastic programming. Oper. Res. 18(5):947–954.LinkGoogle Scholar
  • [3] Benjaafar S, Jouini O (2011) Queueing systems with appointment-driven arrivals, non-punctual customers, and no-shows. Technical report, University of Minnesota, Minneapolis.Google Scholar
  • [4] Billingsley P (1968) Convergence of Probability Measures (John Wiley & Sons, New York).Google Scholar
  • [5] Birge JR (1982) The value of the stochastic solution in stochastic linear programs with fixed recourse. Math. Programming 24(1):314–325.CrossrefGoogle Scholar
  • [6] Brown DB, Haugh MB (2017) Information relaxation bounds for infinite horizon Markov decision processes. Oper. Res. 65(5):1355–1379.LinkGoogle Scholar
  • [7] Brown DB, Smith JE, Sun P (2010) Information relaxations and duality in stochastic dynamic programs. Oper. Res. 58(4-part-1):785–801.LinkGoogle Scholar
  • [8] Cayirli T, Veral E (2003) Outpatient scheduling in health care: A review of literature. Production Oper. Management 12(4):519–549.CrossrefGoogle Scholar
  • [9] Cayirli T, Veral E, Rosen H (2006) Designing appointment scheduling systems for ambulatory care services. Healthcare Management Sci. 9(1):47–58.CrossrefGoogle Scholar
  • [10] Chen H, Yao DD (2001) Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization (Springer-Verlag, New York).CrossrefGoogle Scholar
  • [11] Dempster MAH (1981) The expected value of perfect information in the optimal evolution of stochastic systems. Arató M, Vermes D, Balakrishnan AV, eds. Stochastic Differential Systems, Lecture Notes in Control and Information Sciences, vol. 36 (Springer, Berlin, Heidelberg), 25–40.CrossrefGoogle Scholar
  • [12] Durrett R (2010) Probability: Theory and Examples (Cambridge University Press, Cambridge, UK).CrossrefGoogle Scholar
  • [13] Ethier SN, Kurtz TG (2009) Markov Processes: Characterization and Convergence, vol. 282 (John Wiley & Sons, New York).Google Scholar
  • [14] Gupta D, Denton B (2008) Appointment scheduling in health care: Challenges and opportunities. IIE Trans. 40(9):800–819.CrossrefGoogle Scholar
  • [15] Hall RW (2012) Handbook of Healthcare System Scheduling (Springer, New York).CrossrefGoogle Scholar
  • [16] Harrison JM (1985) Brownian Motion and Stochastic Flow Systems (John Wiley & Sons, New York).Google Scholar
  • [17] Hassin R, Mendel S (2008) Scheduling arrivals to queues: A single-server model with no-shows. Management Sci. 54(3):565–572.LinkGoogle Scholar
  • [18] Honnappa H, Jain R, Ward AR (2015) A queueing model with independent arrivals, and its fluid and diffusion limits. Queueing Systems 80(1–2):71–103.CrossrefGoogle Scholar
  • [19] Honnappa H, Jain R, Ward AR (2016) On transitory queueing. Preprint arXiv:1412.2321, submitted December 7, https://arxiv.org/abs/1412.2321.Google Scholar
  • [20] Kim SH, Whitt W, Cha WC (2018) A data-driven model of an appointment-generated arrival process at an outpatient clinic. INFORMS J. Comput. 30(1):181–199.LinkGoogle Scholar
  • [21] Krichagina EV, Taksar MI (1992) Diffusion approximation for GI/G/1 controlled queues. Queueing Systems 12(3):333–367.CrossrefGoogle Scholar
  • [22] Kuiper A, Mandjes M, de Mast J (2017) Optimal stationary appointment schedules. Oper. Res. Lett. 45(6):549–555.CrossrefGoogle Scholar
  • [23] LaGanga LR, Lawrence SR (2012) Appointment overbooking in health care clinics to improve patient service and clinic performance. Production Oper. Management 21(5):874–888.CrossrefGoogle Scholar
  • [24] Mitter SK (2008) Convex optimization in infinite dimensional spaces. Blondel VD, Boyd SP, Kimura H, eds. Recent Advances in Learning and Control, Lecture Notes in Control and Information Sciences, vol. 371 (Springer, London), 161–179.CrossrefGoogle Scholar
  • [25] Shapiro A, Dentcheva D, Ruszczyński A (2009) Lectures on Stochastic Programming: Modeling and Theory (SIAM, Philadelphia).CrossrefGoogle Scholar
  • [26] Zacharias C, Pinedo M (2014) Appointment scheduling with no-shows and overbooking. Production Oper. Management 23(5):788–801.CrossrefGoogle Scholar
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