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A Family of Convex Models to Achieve Fairness through Dispersion Control
Abhay Singh Bhadoriya, Deepjyoti Deka, Kaarthik Sundar
Controlling the dispersion of a subset of decision variables in an optimization problem is crucial for enforcing fairness or load-balancing across a wide range of applications. Bui…
Stability-Constrained AC Optimal Power Flow--A Gaussian Process-Based Approach
Vincenzo Di Vito, Kaarthik Sundar, Ferdinando Fioretto +1
The Alternating Current Optimal Power Flow (ACOPF) problem is a core task in power system operations, aimed at determining cost-effective generation dispatch while satisfying physi…
Equitable Routing--Rethinking the Multiple Traveling Salesman Problem
Abhay Singh Bhadoriya, Deepjyoti Deka, Kaarthik Sundar
The Multiple Traveling Salesman Problem (MTSP) extends the traveling salesman problem by assigning multiple salesmen to visit a set of targets from a common depot, with each target…
Global Optimization Algorithm for Mixed-Integer Nonlinear Programs with Trigonometric Functions
Christopher Montez, Sujeevraja Sanjeevi, Kaarthik Sundar
This article presents the first mixed-integer linear programming (MILP)-based iterative algorithm to solve factorable mixed-integer nonlinear programs (MINLPs) with bounded, differ…
for Graphs of Convex Sets
Kaarthik Sundar, Sivakumar Rathinam
We present a novel algorithm that fuses the existing convex-programming based approach with heuristic information to find optimality guarantees and near-optimal paths for the Short…
A Parametric, Second-Order Cone Representable Model of Fairness for Decision-Making Problems
Kaarthik Sundar, Deepjyoti Deka, Russell Bent
The article develops a parametric model of fairness called "-fairness" that can be represented using a single second-order cone constraint and incorporated into existi…