Search Results for author: Harsha Nagarajan

Found 6 papers, 5 papers with code

Sequence of Polyhedral Relaxations for Nonlinear Univariate Functions

1 code implementation27 May 2020 Kaarthik Sundar, Sujeevraja Sanjeevi, Harsha Nagarajan

Given a nonlinear, univariate, bounded, and differentiable function $f(x)$, this article develops a sequence of Mixed Integer Linear Programming (MILP) and Linear Programming (LP) relaxations that converge to the graph of $f(x)$ and its convex hull, respectively.

Optimization and Control

Juniper: An Open-Source Nonlinear Branch-and-Bound Solver in Julia

2 code implementations19 Apr 2018 Ole Kröger, Carleton Coffrin, Hassan Hijazi, Harsha Nagarajan

Nonconvex mixed-integer nonlinear programs (MINLPs) represent a challenging class of optimization problems that often arise in engineering and scientific applications.

Optimization and Control

An Adaptive, Multivariate Partitioning Algorithm for Global Optimization of Nonconvex Programs

1 code implementation9 Jul 2017 Harsha Nagarajan, Mowen Lu, Site Wang, Russell Bent, Kaarthik Sundar

In this work, we develop an adaptive, multivariate partitioning algorithm for solving mixed-integer nonlinear programs (MINLP) with multi-linear terms to global optimality.

Optimization and Control Systems and Control

Evaluating Ising Processing Units with Integer Programming

no code implementations2 Jul 2017 Carleton Coffrin, Harsha Nagarajan, Russell Bent

The recent emergence of novel computational devices, such as adiabatic quantum computers, CMOS annealers, and optical parametric oscillators, present new opportunities for hybrid-optimization algorithms that are hardware accelerated by these devices.

Probabilistic $N$-$k$ Failure-Identification for Power Systems

2 code implementations18 Apr 2017 Kaarthik Sundar, Carleton Coffrin, Harsha Nagarajan, Russell Bent

A general cutting-plane algorithm is proposed to solve the convex relaxation and linear approximations of the $N$-$k$ problem.

Systems and Control

A Modified Benders Decomposition for Chance-Constrained Unit Commitment with N-1 Security and Wind Uncertainty

1 code implementation15 Mar 2017 Kaarthik Sundar, Harsha Nagarajan, Line Roald, Sidhant Misra, Russell Bent, Daniel Bienstock

As renewable wind energy penetration rates continue to increase, one of the major challenges facing grid operators is the question of how to control transmission grids in a reliable and a cost-efficient manner.

Systems and Control

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