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20242026
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math.OC2026

Efficient Graph Partitioning under Resource Constraints: A Cutting-Plane Framework for Distribution Grids

Duong Thuy Anh Nguyen, Harsha Nagarajan, Robert Ferrando +2

This paper presents an optimal network topology control framework using cutting-plane methods for efficient network partitioning with controllable edges. The objective is to enable…

math.OC2026

A Hybrid Decomposition Approach for Stochastic Unit Commitment with Combined-Cycle Generators

Rosemary Barrass, Harsha Nagarajan, Mathieu Tanneau +2

The U.S. power grid is undergoing a major paradigm shift with the increased development of renewable generators, electric vehicles, and data centers. In response to this growing ne…

math.OC2025

Reconfiguration and Real-Time Operation of Networked Microgrids Under Load Uncertainty

Hannah Moring, Bala Kameshwar Poolla, Harsha Nagarajan +3

Distribution networks are increasingly exposed to threats such as extreme weather, aging infrastructure, and cyber risks--resulting in more frequent contingencies and outages, a tr…

math.OC2025

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-…

math.OC2025

Optimal Trajectory Planning for Space Object Tracking with Collision-Avoidance Constraints

Saif R. Kazi, Harsha Nagarajan, Hassan Hijazi +1

A control optimization approach is presented for a chaser spacecraft tasked with maintaining proximity to a target space object while avoiding collisions. The target object traject…

math.OC2025

Tightening Quadratic Convex Relaxations for the AC Optimal Transmission Switching Problem

Cheng Guo, Harsha Nagarajan, Merve Bodur

The Alternating Current Optimal Transmission Switching (ACOTS) problem incorporates line switching decisions into the AC Optimal Power Flow (ACOPF) framework, offering well-known b…