The transhipment problem, The assignment problem

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

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

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

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

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

Explores the physics of propulsion by looping and the critical points for effective looping.

Covers optimization methods, focusing on gradient methods and line search techniques.

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

Explores the maximum flow and transhipment problems in network optimization.

Covers fundamental concepts of optimization and operations research, exploring real-world examples and key topics over a semester.