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Lecture
Simplex Algorithm: Exercises & Interpretation
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Solving Linear Programs: SIMPLEX Method
Explains the SIMPLEX method for solving linear programs and optimizing the solution through basis variable manipulation.
Initial BFS
Explores finding the initial Basic Feasible Solution (BFS) in a linear program.
Discrete Optimization: Relaxation
Explores solving discrete optimization problems by relaxing integrality constraints.
Linear Programming: Extreme Points
Explores extreme points in linear programming and the role of constraints in finding optimal solutions.
Relations Between Events
Explores relations between events, disjunctive constraints, and modeling with binary variables in optimization problems.
Two-phase Simplex Algorithm: Introduction and Duality
Introduces the two-phase simplex algorithm and explores duality in linear programming.
Linear Programming: Two-phase Simplex Algorithm
Covers the application of the two-phase Simplex algorithm to solve linear programming problems.
Simplex Algorithm: Tableau
Covers the main idea behind the Simplex algorithm and explains the Tableau method for solving linear programming problems.
Introduction to Optimization
Covers the basics of optimization, including historical perspectives, mathematical formulations, and practical applications in decision-making problems.
Optimisation Problem: Solving by FM
Covers the modelling and optimization of energy systems, focusing on solving optimization problems with constraints and variables.