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Sequential clinical scheduling with service criteria

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  • Turkcan, Ayten
  • Zeng, Bo
  • Muthuraman, Kumar
  • Lawley, Mark

Abstract

This study investigates sequential appointment scheduling with service criteria. It uses a constraint-based approach with service criteria bounded in a constraint set in contrast to the more typical weighted linear objective function. Properties are derived and a sequential scheduling algorithm is developed. Fairness properties of generated schedules are considered in detail, where fairness is the uniformity of performance across patients. New unfairness measures are proposed and used to capture the inequity among patients assigned to different slots. Other criteria such as expectation and variance of patient waiting time, queue length, and overtime are also considered. The fairness/revenue tradeoff is investigated as is the flexibility of the constraint-based approach in handling unavailable time periods.

Suggested Citation

  • Turkcan, Ayten & Zeng, Bo & Muthuraman, Kumar & Lawley, Mark, 2011. "Sequential clinical scheduling with service criteria," European Journal of Operational Research, Elsevier, vol. 214(3), pages 780-795, November.
    • Handle: RePEc:eee:ejores:v:214:y:2011:i:3:p:780-795
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    References listed on IDEAS

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    1. Chrwan-Jyh Ho & Hon-Shiang Lau, 1992. "Minimizing Total Cost in Scheduling Outpatient Appointments," Management Science, INFORMS, vol. 38(12), pages 1750-1764, December.
    2. Santanu Chakraborty & Kumar Muthuraman & Mark Lawley, 2010. "Sequential clinical scheduling with patient no-shows and general service time distributions," IISE Transactions, Taylor & Francis Journals, vol. 42(5), pages 354-366.
    3. Sergei Savin, 2006. "Managing Patient Appointments in Primary Care," International Series in Operations Research & Management Science, in: Randolph W. Hall (ed.), Patient Flow: Reducing Delay in Healthcare Delivery, chapter 0, pages 123-150, Springer.
    4. Refael Hassin & Sharon Mendel, 2008. "Scheduling Arrivals to Queues: A Single-Server Model with No-Shows," Management Science, INFORMS, vol. 54(3), pages 565-572, March.
    5. Linda V. Green & Sergei Savin, 2008. "Reducing Delays for Medical Appointments: A Queueing Approach," Operations Research, INFORMS, vol. 56(6), pages 1526-1538, December.
    6. Guido Kaandorp & Ger Koole, 2007. "Optimal outpatient appointment scheduling," Health Care Management Science, Springer, vol. 10(3), pages 217-229, September.
    7. Bo Zeng & Ayten Turkcan & Ji Lin & Mark Lawley, 2010. "Clinic scheduling models with overbooking for patients with heterogeneous no-show probabilities," Annals of Operations Research, Springer, vol. 178(1), pages 121-144, July.
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    Cited by:

    1. Karsu, Özlem & Morton, Alec, 2015. "Inequity averse optimization in operational research," European Journal of Operational Research, Elsevier, vol. 245(2), pages 343-359.
    2. William P. Millhiser & Emre A. Veral, 2019. "A decision support system for real-time scheduling of multiple patient classes in outpatient services," Health Care Management Science, Springer, vol. 22(1), pages 180-195, March.
    3. Akoluk, Damla & Karsu, Özlem, 2022. "Ensuring multidimensional equality in public service," Socio-Economic Planning Sciences, Elsevier, vol. 80(C).
    4. Vink, Wouter & Kuiper, Alex & Kemper, Benjamin & Bhulai, Sandjai, 2015. "Optimal appointment scheduling in continuous time: The lag order approximation method," European Journal of Operational Research, Elsevier, vol. 240(1), pages 213-219.
    5. Argyris, Nikolaos & Karsu, Özlem & Yavuz, Mirel, 2022. "Fair resource allocation: Using welfare-based dominance constraints," European Journal of Operational Research, Elsevier, vol. 297(2), pages 560-578.
    6. Shen, Zuo-Jun Max & Xie, Jingui & Zheng, Zhichao & Zhou, Han, 2023. "Dynamic scheduling with uncertain job types," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1047-1060.
    7. Pan, Xingwei & Geng, Na & Xie, Xiaolan & Wen, Jing, 2020. "Managing appointments with waiting time targets and random walk-ins," Omega, Elsevier, vol. 95(C).
    8. De Vuyst, Stijn & Bruneel, Herwig & Fiems, Dieter, 2014. "Computationally efficient evaluation of appointment schedules in health care," European Journal of Operational Research, Elsevier, vol. 237(3), pages 1142-1154.
    9. Ahmadi-Javid, Amir & Jalali, Zahra & Klassen, Kenneth J, 2017. "Outpatient appointment systems in healthcare: A review of optimization studies," European Journal of Operational Research, Elsevier, vol. 258(1), pages 3-34.
    10. Kong, Qingxia & Lee, Chung-Yee & Teo, Chung-Piaw & Zheng, Zhichao, 2016. "Appointment sequencing: Why the Smallest-Variance-First rule may not be optimal," European Journal of Operational Research, Elsevier, vol. 255(3), pages 809-821.
    11. Diego Noceda-Davila & Silvia Lorenzo-Freire & Luisa Carpente, 2022. "Two-Stage Optimization Methods to Solve the DNA-Sample Allocation Problem," Mathematics, MDPI, vol. 10(22), pages 1-31, November.
    12. Soltani, Mohamad & Samorani, Michele & Kolfal, Bora, 2019. "Appointment scheduling with multiple providers and stochastic service times," European Journal of Operational Research, Elsevier, vol. 277(2), pages 667-683.

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