Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Linear Programming BasicsIntroduces linear programming basics, including optimization problems, cost functions, simplex algorithm, geometry of linear programs, extreme points, and degeneracy.
Hedging for LPsCovers the concept of hedging for Linear Programs and the simplex method, focusing on minimizing costs and finding optimal solutions.
Linear Programming DualityExplores Linear Programming Duality, covering weak duality, strong duality, Lagrange multipliers interpretation, and optimization constraints.
Relations Between EventsExplores relations between events, disjunctive constraints, and modeling with binary variables in optimization problems.
Optimisation in Energy SystemsExplores optimization in energy system modeling, covering decision variables, objective functions, and different strategies with their pros and cons.
Duality in Linear ProgrammingExplores the concept of duality in linear programming, discussing the relationship between primal and dual problems.
Introduction to OptimizationCovers the basics of optimization, including historical perspectives, mathematical formulations, and practical applications in decision-making problems.