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Lecture
Introduction to Optimization and Operations Research
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Linear Optimization Techniques: Problem Solving Approaches
Provides an overview of linear optimization techniques, focusing on problem-solving methods and the importance of constraints and objective functions.
Optimal Control: Hydropower Management
Covers the optimization of hydropower systems and control strategies for maximizing energy production.
Energy Systems Optimization
Explores energy systems modeling, optimization, and cost analysis for efficient operations.
Optimization Programs: Piecewise Linear Cost Functions
Covers the formulation of optimization programs for minimizing piecewise linear cost functions.
Linear Optimization: Finding Initial BFS
Explains the process of finding an initial Basic Feasible Solution for linear optimization problems using the Simplex Algorithm.
Approximation Algorithms
Covers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Simulation & Optimization: Poisson Process & Random Numbers
Explores simulation pitfalls, random numbers, discrete & continuous distributions, and Monte-Carlo integration.
Simplex Algorithm: Basics
Introduces the Simplex algorithm for solving flow problems and handling negative cost cycles.
Simplex Algorithm: Solution on a Vertex
Explores the simplex algorithm and how optimal solutions can be found on vertices of constraint polyhedra.
Linear Programming: Solving LPs
Covers the process of solving Linear Programs (LPs) using the simplex method.