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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…
The value of storage in electricity distribution: The role of markets
Dirk Lauinger, Deepjyoti Deka, Sungho Shin
Electricity distribution companies deploy battery storage to defer grid upgrades by reducing peak demand. In deregulated jurisdictions, such storage often sits idle because regulat…
Strong Partitioning and a Machine Learning Approximation for Accelerating the Global Optimization of Nonconvex QCQPs
Rohit Kannan, Harsha Nagarajan, Deepjyoti Deka
We learn optimal instance-specific heuristics for the global minimization of nonconvex quadratically-constrained quadratic programs (QCQPs). Specifically, we consider partitioning-…
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…