The transhipment problem, The maximum flow problem

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Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.

Explains network flows, LP formulations, simplex method, duality, and practical applications.

Explores optimization methods, including unconstrained problems, linear programming, and heuristic approaches.

Covers semi-definite programming and optimization over positive semidefinite cones.

Explores energy systems modeling, optimization, and cost analysis for efficient operations.

Introduces the Simplex algorithm for solving flow problems and handling negative cost cycles.

Explores solving strategies for energy system optimization problems and different types of optimization approaches.

Covers the optimization with constraints, focusing on the Karush-Kuhn-Tucker (KKT) conditions.

Covers brainstorming options for smart operation changes, heat recovery, and PV panel performance.

Discusses MILP model, typical days, clustering, and extreme periods analysis in energy systems optimization.