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.