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Simulation-based approximate policy iteration for dynamic patient scheduling for radiation therapy

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Abstract

We study radiation therapy scheduling problem where dynamically and stochastically arriving patients of different types are scheduled to future days. Unlike similar models in the literature, we consider cancellation of treatments. We formulate this dynamic multi-appointment patient scheduling problem as a Markov Decision Process (MDP). Since the MDP is intractable due to large state and action spaces, we employ a simulation-based approximate dynamic programming (ADP) approach to approximately solve our model. In particular, we develop Least-square based approximate policy iteration for solving our model. The performance of the ADP approach is compared with that of a myopic heuristic decision rule.

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References

  1. Astaraky D, Patrick J (2015) A simulation based approximate dynamic programming approach to multi-class, multi-resource surgica lscheduling. European Journal of Operational Research 245:309–319

    Article  Google Scholar 

  2. Astaraky D (2013).A simulation based approximate dynamic programming approach to multi-class, multi-resource surgical scheduling. Master’s thesis, University of Ottawa

  3. Conforti D, Guerriero F, Guido R, Veltri M (2011) An optimal decision-making approach for the management of radiotherapy patients. OR Spectrum 33:123–148

    Article  Google Scholar 

  4. Conforti D, Guerriero F, Guido R (2010) Non-block scheduling with priority for radiotherapy treatments. European Journal of Operational Research 201:289–296

    Article  Google Scholar 

  5. Crop F, Lacornerie T, Mirabel X, Lartigau E (2015) Workflow optimization for robotic stereotactic radiotherapy treatments: application of constant work in progress workflow. Operations Research for Healthcare 6:18–22

    Article  Google Scholar 

  6. Erdely A, Topaloglu H (2010) Approximate dynamic programming for dynamic capacity allocation with multiple priority levels. IIE Transactions 43:129–142

    Article  Google Scholar 

  7. Gocgun Y, Ghate A (2012) Lagrangian relaxation and constraint generation for allocation and advance scheduling. Computers Operations Research 39:2323–2336

    Article  Google Scholar 

  8. Gocgun Y, Puterman ML (2014) Dynamic scheduling with due dates and time windows: an application to chemotherapy patient appointment booking. Health Care Management Science 17:60–76

    Article  Google Scholar 

  9. Gupta D, Denton B (2008) Appointment scheduling in health care: challenges and opportunities. IIE Transactions 40:800–819

    Article  Google Scholar 

  10. Herring WL, Herrmann JW (2011) Stochastic dynamic program for the single-day surgery scheduling problem. IIE Transactions on Healthcare Systems Engineering 1:213–225

    Article  Google Scholar 

  11. National Cancer Institute (2016) Radiation therapy for cancer. http://www.cancer.gov/about-cancer/treatment/types/radiation-therapy/radiation-fact-sheet

  12. Kim M, Ghate A, Phillips MH (2012) A stochastic control formalism for dynamic biologically conformal radiation therapy. European Journal of Operational Research 219:541–556

    Article  Google Scholar 

  13. Lam SW, Lee LH, Tang LC (2007) An approximate dynamic programming approach for the empty container allocation problem. Transportation Research Part C 15:265–277

    Article  Google Scholar 

  14. Lim GJ, Cao W (2012) A two-phase method for selecting imrt treatment beam angles: branch-and-prune and local neighborhood search. European Journal of Operational Research 217:609–618

    Article  Google Scholar 

  15. Liu N, Ziya S, Kulkarni VG (2010) Dynamic scheduling of outpatient appointments under patient no-shows and cancellation. Manufacturing and Service Operations Management 12:347–364

    Article  Google Scholar 

  16. Misic V, Aleman D, Sharpe M (2010) Neighborhood search approaches to noncoplanar beam orientation optimization for total marrow irradiation using imrt. European Journal of Operational Research 205:522–527

    Article  Google Scholar 

  17. Nelson R (2008) Delay in radiation therapy affects outcomes in breast cancer. Medscape Medical News

    Google Scholar 

  18. Novoa C, Storer R (2009) An approximate dynamic programming approach for the vehicle routing problem with stochastic demands. European Journal of Operational Research 196:509–515

    Article  Google Scholar 

  19. Parizi MS, Ghate A (2016) Multi-class, multi-resource advance scheduling with no-shows, cancellations and overbooking. Computers Operations Research 67:90–101

    Article  Google Scholar 

  20. Patrick J, Puterman ML, Queyranne M (2008) Dynamic multi-priority patient scheduling for a diagnostic resource. Operations Research 56:1507–1525

    Article  Google Scholar 

  21. Patrick J (2012) A markov decision model for determining optimal outpatient scheduling. Health Care Management Science 15:91–102

    Article  Google Scholar 

  22. Peroni CV, Kaisare NS, Lee JH (2005) Optimal control of a fed-batch bioreactor using simulation-based approximate dynamic programming. IEEE Transactions on Control Systems Technology 13:786–790

    Article  Google Scholar 

  23. Petrovic S, Castro E (2011) A genetic algorithm for radiotherapy pre-treatment scheduling. Applications of Evolutionary Computation 6625:454–463

    Article  Google Scholar 

  24. Petrovic S and Leite-Rocha P (2008) Constructive and grasp approaches to radiotherapy treatment scheduling. Proceedings of the Advances in Electrical and Electronics Engineering, pages 192–200

  25. Saure A, Patrick J, Tyldesley S, Puterman ML (2012) Dynamic multi-appointment patient scheduling for radiation therapy. European Journal of Operational Research 223:573–584

  26. Truong VA (2014) Optimal advanced scheduling with expediting. http://www.columbia.edu/ vt2196/AdvanceSchedulingMSRevision2.pdf

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Correspondence to Yasin Gocgun.

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Gocgun, Y. Simulation-based approximate policy iteration for dynamic patient scheduling for radiation therapy. Health Care Manag Sci 21, 317–325 (2018). https://doi.org/10.1007/s10729-016-9388-9

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  • DOI: https://doi.org/10.1007/s10729-016-9388-9

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