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Lecture
Optimisation Problems: Methods and Constraints
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Optimization Methods: Theory Discussion
Explores optimization methods, including unconstrained problems, linear programming, and heuristic approaches.
Optimisation Problem: Solving by FM
Covers the modelling and optimization of energy systems, focusing on solving optimization problems with constraints and variables.
Optimization in Engineering
Explores optimization methods in engineering, covering decision variables, constraints, and various solving techniques.
Optimisation in Energy Systems
Explores optimization in energy system modeling, covering decision variables, objective functions, and different strategies with their pros and cons.
Linear Programming: Weighted Bipartite Matching
Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.
Cutset Formulation: MST Problem
Explores the cutset formulation for the MST Problem and Gomory Cutting Planes method.
Optimization with Constraints: KKT Conditions
Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.
Integer Programs: Optimization and Constraints
Explores integer programs, nonconvex optimization, constraints, and geometric aspects of linear programming for optimal solutions.
Linear Programming Basics
Introduces linear programming basics, including optimization problems, cost functions, simplex algorithm, geometry of linear programs, extreme points, and degeneracy.
Optimization Problems: Path Finding and Portfolio Allocation
Covers optimization problems in path finding and portfolio allocation.