Two-Stage Chance-Constrained Telemedicine Assignment Model with No-Show Behavior and Uncertain Service Duration

  • Conference paper
  • First Online:
AI and Analytics for Public Health (INFORMS-CSS 2020)

Part of the book series: Springer Proceedings in Business and Economics ((SPBE))

Included in the following conference series:

Abstract

The current global pandemic of COVID-19 has caused significant strain on the medical resources of the healthcare providers, so more and more hospitals use telemedicine and virtual care for remote treatment (i.e. consulting, remote diagnosis, treatment, monitoring and follow-ups and so on) in response to COVID-19 pandemic, which is expected to deliver timely care while minimizing exposure to protect medical practitioners and patients. In this study, we study the telemedicine assignment between the patients and telemedical specialists by considering different sources of uncertainty, i.e. uncertain service duration and the no-show behavior of the doctors that is caused by the unexpected situations (i.e. emergency events). We propose a two-stage chance-constrained model with the assignment decisions in the recourse problem and employ an uncertainty set to capture the behavior of telemedical doctors, which finally gives rise to a two-stage binary integer program with binary variables in the recourse problem. We propose an enumeration-based column-and-constraint generation solution method to solve the resulting problem. A simple numerical study is done to illustrate our proposed framework. To the best of our knowledge, this is the first attempt to incorporate the behavior of doctors and uncertain service duration for the telemedicine assignment problem in the literature. We expect that this work could open an avenue for the research of telemedicine by incorporating different sources of uncertainty from an operations management viewpoint, especially in the context of a data-driven optimization framework.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
EUR 29.95
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 181.89
Price includes VAT (Germany)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
EUR 235.39
Price includes VAT (Germany)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info
Hardcover Book
EUR 235.39
Price includes VAT (Germany)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  • Ahmadi-Javid, A., Jalali, Z., & Klassen, K. J. (2017). Outpatient appointment systems in healthcare: A review of optimization studies. European Journal of Operational Research, 258(1), 3–34.

    Google Scholar 

  • Ahmed, S., & Shapiro, A. (2008). Solving chance-constrained stochastic programs via sampling and integer programming. In: INFORMS TutORials in operations research: State-of-the-art decision-making tools in the information-intensive age. Informs (pp. 261–269).

    Google Scholar 

  • Birge, J. R., & Louveaux, F. (2011). Introduction to stochastic programming. Springer Science & Business Media.

    Google Scholar 

  • Charnes, A., & Cooper, W. W. (1959). Chance-constrained programming. Management Science, 6(1), 73–79.

    Google Scholar 

  • Dai, T., & Tayur, S. (2020). Om forum—healthcare operations management: A snapshot of emerging research. Manufacturing & Service Operations Management, 22.

    Google Scholar 

  • Deng, Y., Shen, S., & Denton, B. (2019). Chance-constrained surgery planning under conditions of limited and ambiguous data. INFORMS Journal on Computing, 31(3), 559–575.

    Google Scholar 

  • Erdogan, S. A., Krupski, T. L., & Lobo, J. M. (2018). Optimization of telemedicine appointments in rural areas. Service Science, 10(3), 261–276.

    Google Scholar 

  • Jebali, A., & Diabat, A. (2017). A chance-constrained operating room planning with elective and emergency cases under downstream capacity constraints. Computers & Industrial Engineering, 114(DEC.), 329–344.

    Google Scholar 

  • Jetty, A., Moore, M. A., Coffman, M., Petterson, S., & Bazemore, A. (2017). Rural family physicians are twice as likely to use telehealth as urban family physicians. Telemedicine & E Health, 24(4), 268–276. https://doi.org/10.1089/tmj.2017.0161.

  • Jnr, B. A. (2020). Use of telemedicine and virtual care for remote treatment in response to covid-19 pandemic. Journal of Medical Systems, 44(7), 1–9.

    Google Scholar 

  • Kamran, M. A., Karimi, B., & Dellaert, N. (2018). Uncertainty in advance scheduling problem in operating room planning. Computers & Industrial Engineering, 126(DEC.), 252–268.

    Google Scholar 

  • Latifi, R., & Doarn, C. R. (2020). Perspective on covid-19: Finally, telemedicine at center stage. Telemedicine and e-Health, 26(9), 1106–1109.

    Google Scholar 

  • Loeb, A. E., Rao, S. S., Ficke, J. R., Morris, C. D., Riley III, L. H., & Levin, A. S. (2020). Departmental experience and lessons learned with accelerated introduction of telemedicine during the covid-19 crisis. The Journal of the American Academy of Orthopaedic Surgeons, 28(11), e469–e476.

    Google Scholar 

  • Myers, M. R. (2003). Telemedicine: an emerging health care technology. Health Care Management, 22(3), 219–223.

    Google Scholar 

  • Noorizadegan, M., & Seifi, A. (2018). An efficient computational method for large scale surgery scheduling problems with chance constraints. Computational Optimization & Applications, 69(2), 535–561.

    Google Scholar 

  • Qiao, Y., Ran, L., & Li, J. (2020). Optimization of teleconsultation using discrete-event simulation from a data-driven perspective. Telemedicine & e-Health, 26(1), 112–123.

    Google Scholar 

  • Rajan, B., Tezcan, T., & Seidmann, A. (2018). Service systems with heterogeneous customers: Investigating the effect of telemedicine on chronic care. Management Science, 65(3), 955–1453.

    Google Scholar 

  • Rajan, B., Tezcan, T., & Seidmann, A. (2019). Service systems with heterogeneous customers: investigating the effect of telemedicine on chronic care. Management Science, 65(3), 1236–1267.

    Google Scholar 

  • Saghafian, S., Hopp, W. J., Iravani, S. M., Cheng, Y., & Diermeier, D. (2018). Workload management in telemedical physician triage and other knowledge-based service systems. Management Science, 64(11), 5180–5197.

    Google Scholar 

  • Wang, S., Li, J., & Peng, C. (2017). Distributionally robust chance-constrained program surgery planning with downstream resource. In 2017 international conference on service systems and service management (pp. 1–6). IEEE.

    Google Scholar 

  • Wang, S., Li, J., & Mehrotra, S. (2019). A solution approach to distributionally robust chance-constrained assignment problems. INFORMS Journal on Optimization. http://www.optimization-online.org/DB_FILE/2019/05/7207.pdf.

  • Wang, X., Zhang, Z., Yang, L., & Zhao, J. (2020). Price and capacity decisions in a telemedicine service system under government subsidy policy. International Journal of Production Research, 1–14.

    Google Scholar 

  • Wang, S., Li, J., & Mehrotra, S. (2021). Chance-constrained bin packing problem with an application to operating room planning. INFORMS Journal on Computing. https://doi.org/10.1287/ijoc.2020.1010.

  • Ward, M. M., Jaana, M., & Natafgi, N. (2015). Systematic review of telemedicine applications in emergency rooms. International Journal of Medical Informatics, 84(9), 601–616.

    Google Scholar 

  • Zanaboni, P., Scalvini, S., Bernocchi, P., Borghi, G., Tridico, C., & Masella, C. (2009). Teleconsultation service to improve healthcare in rural areas: acceptance, organizational impact and appropriateness. BMC Health Services Research, 9(1), 238.

    Google Scholar 

  • Zeng, B., & Zhao, L. (2013). Solving two-stage robust optimization problems using a column-and-constraint generation method. Operations Research Letters, 41(5), 457–461.

    Google Scholar 

  • Zhang, Y., Jiang, R., & Shen, S. (2018). Ambiguous chance-constrained binary programs under mean-covariance information. SIAM Journal on Optimization, 28(4), 2922–2944.

    Google Scholar 

  • Zhang, Z., Denton, B. T., & **e, X. (2020). Branch and price for chance-constrained bin packing. INFORMS Journal on Computing, 32, 547–564.

    Google Scholar 

  • Zhu, S., Fan, W., Yang, S., Pei, J., & Pardalos, P. M. (2019). Operating room planning and surgical case scheduling: a review of literature. Journal of Combinatorial Optimization, 37(3), 757–805.

    Google Scholar 

Download references

Acknowledgements

This study is fully supported by the project of “Scheduling and Optimization of Telemedicine Resource from a Data-Driven Perspective” from Natural Science Foundation of China [grant 71972012]. We thank this grant support very much.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chun Peng .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ji, M., Li, J., Peng, C. (2022). Two-Stage Chance-Constrained Telemedicine Assignment Model with No-Show Behavior and Uncertain Service Duration. In: Yang, H., Qiu, R., Chen, W. (eds) AI and Analytics for Public Health. INFORMS-CSS 2020. Springer Proceedings in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-75166-1_32

Download citation

Publish with us

Policies and ethics

Navigation