My research focuses on using simulation modeling (primarily discrete-event simulation (DES)), operations research methods-including including probability and statistics and advanced modeling techniqes such as machine learning algotithms to understand and improve complex service systems. I am especially interested in real-time decision-making in healthcare and in planning routing operations.
1. Healthcare Operations & Delivery Modeling
a. Organ Allocation Simulation
I am working/have worked on the following broad objectives:
- Develop a DES model of the heart allocation process from the donors to the recipients.
- Develop statistical (logistic-regression) and machine-learning (ML) frameworks for predicting heart transplant offer acceptances.
- Evaluate counterfactual kidney allocation policies using an existing allocation simulator.
I use probability and statistical tools to summarize results from the organ allocation simulators, and I am currently integrating trained ML models directly within the simulator environment.
b. Patient Diversion Across Healthcare Facility Networks
I am working/have worked on the following broad objectives:
- Derive analytical predictiors using queueing theory and probability distributions to estimate patient wait time.
- Design patient diversion algorithms (from one hospital to another) to balance patient load and overall hospital network utilization
- Develop a hybrid simulation-driven machine learning (Hybrid Sim-ML) approach to predict overall length of stay of patients across healthcare facilities
The performce of these objectives were demonstrated within a DES-based hospital network.
c. Statistical Modeling of Healthcare-Seeking Behaviour & Referral Pathways
I am working/have worked on the following broad objectives:
- Develop cross-sectional surveys for healthcare providers and patients to gather insights into hospital experiences and potential referral mechanisms.
- Use logistic regression (binomial and multinomial) to examine healhcare-seeking behaviour of patients and analyze how patients and providers navigate referral systems.
Dynamic route planning
I am working/have worked on the following broad objectives:
- Develop least cost routes for aircrafts operating in adversarial or uncertain environments.
- Apply graph-based network optimization algorithms such as A* and Dijkstra’s algorithm to generate routes in 2-D and 3-D that account for threats (mountains) and radar emplacements.
