MULTI-OBJECTIVE TWO-STAGE STOCHASTIC PROGRAMMING FOR ADAPTIVE INTERDISCIPLINARY PAIN MANAGEMENT WITH PIECE-WISE LINEAR NETWORK TRANSITION MODELS

Author

Gazi Md Daud Iqbal

Graduation Semester and Year

2017

Language

English

Document Type

Dissertation

Degree Name

Doctor of Philosophy in Industrial Engineering

Department

Industrial and Manufacturing Systems Engineering

First Advisor

Jay M Rosenberger

Abstract

Pain is the most common symptom when a patient visits a physician. People experience pain throughout their lifetime at different degrees. If short term pain is not treated properly, then it can become long term pain, which is also known as chronic pain. The Eugene McDermott Center for pain management at UT Southwestern Medical Center conducts a two-stage pain management program for chronic pain. This research uses a two-stage stochastic programming approach to optimize personal adaptive treatment strategies for pain management. The goal is to generate adaptive treatment strategies using statistics based optimization approaches that can be used by physicians to prescribe treatment to the patients. Transition models predict how a patient with certain characteristics will react to treatments. This research uses Piece-wise Linear Networks (PLN) to represent transition models. A mixed integer linear program is developed to integrate those PLN transition models into an optimization problem. In this research we have considered five pain outcomes. To balance between different pain outcomes in the objective, we developed a survey for physicians, which is actually a pairwise comparison of different levels of different pain outcomes. Survey inputs are subjective and vary from physician to physician. In other words, inputs from multiple surveys are not entirely consistent. To get consistent weights for different levels of different pain outcomes in the two-stage stochastic program, we developed a convex quadratic programming model. To speed up the solution process, we developed additional constraints based upon 3-way treatment interactions. These 3-way treatment interaction constraints are totally consistent with two-way treatment interaction constraints. These additional constraints do not eliminate real integer solutions, but they may eliminate fractional solutions in the branch-and-bound algorithm. We then solved the original MILP with these additional logical style constraints to see the improvement in MILP.

Keywords

Two-stage stochastic programming, Pain management, Convex quadratic programming, Mixed integer linear program, Piecewise linear network model, Odd's ratio

Disciplines

Engineering | Operations Research, Systems Engineering and Industrial Engineering

License

This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.

Comments

Degree granted by The University of Texas at Arlington

Recommended Citation

Iqbal, Gazi Md Daud, "MULTI-OBJECTIVE TWO-STAGE STOCHASTIC PROGRAMMING FOR ADAPTIVE INTERDISCIPLINARY PAIN MANAGEMENT WITH PIECE-WISE LINEAR NETWORK TRANSITION MODELS" (2017). Industrial, Manufacturing, and Systems Engineering Dissertations. 161.
https://mavmatrix.uta.edu/industrialmanusys_dissertations/161