Simplex Algorithm: Tableau

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Integer Programs: Optimization and Constraints

Explores integer programs, nonconvex optimization, constraints, and geometric aspects of linear programming for optimal solutions.

Solving Parity Games in Practice

Explores practical aspects of solving parity games, including winning strategies, algorithms, complexity, determinism, and heuristic approaches.

Simplex Algorithm: Solution on a Vertex

Explores the simplex algorithm and how optimal solutions can be found on vertices of constraint polyhedra.

Network Flows and LP Formulations

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

Linear Algebra Complexity

Explores the complexity of linear algebra operations and optimization methods, including Gaussian elimination and the simplex method.

Duality: Economic Interpretation

Explores duality in linear programming, strong duality, complementary slackness, and the economic interpretation of dual variables as prices.

Discrete Optimization: Relaxation

Explores solving discrete optimization problems by relaxing integrality constraints.

Discrete Optimization: The Curse of Dimensionality

Delves into the curse of dimensionality in discrete optimization, highlighting the challenges of exponential computational time growth with problem size.

Linear Programming: Optimization and Duality

Introduces linear programming, optimization, and duality concepts with a focus on the simplex method and practical examples.

Energy System Modelling: Overview and Optimization Problems

Covers energy system modelling, optimization, scenarios, predictions, complexities, and controversies in energy models.