Two-stage stochastic programming for interdisciplinary pain management

Na Wang, Jay Rosenberger, Gazi Md Daud Iqbal, Victoria Chen, Robert Joseph Gatchel, Carl Noe, Aera Kim LeBoulluec

Research output: Contribution to journalArticle

Abstract

The goal of this research is to find an optimal adaptive treatment strategy to assist physicians in prescribing treatments for patients with chronic pain. This research proposes a two-stage stochastic programming (2SP) method to optimize a treatment procedure for interdisciplinary pain management. The 2SP model incorporates non-convex nonlinear mixed integer constraints, which are constructed based on data from a real pain management program. We derive a piecewise linear approximation method to approximate the non-convex nonlinear constraints in the 2SP model. Consequently, we formulate an equivalent mixed integer linear programming (MILP) model and then solve it using a commercial mixed-integer programming solver. A comparison of the policies generated by the MILP model with the policies generated by the original nonlinear 2SP model shows that, given limited CPU time, the policies generated by the MILP model outperform those of the original nonlinear 2SP model.

Original languageEnglish
Pages (from-to)131-145
Number of pages15
JournalIISE Transactions on Healthcare Systems Engineering
Volume9
Issue number2
DOIs
StatePublished - 3 Apr 2019

Keywords

  • Linear approximation
  • MILP
  • MINLP
  • pain management
  • regression
  • two-stage stochastic programming

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  • Cite this

    Wang, N., Rosenberger, J., Iqbal, G. M. D., Chen, V., Gatchel, R. J., Noe, C., & LeBoulluec, A. K. (2019). Two-stage stochastic programming for interdisciplinary pain management. IISE Transactions on Healthcare Systems Engineering, 9(2), 131-145. https://doi.org/10.1080/24725579.2019.1610528