Dynamic Programming: Steinitz Sequence

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Page 3 of 4

Covers the basics of optimization, including historical perspectives, mathematical formulations, and practical applications in decision-making problems.

Cutset Formulation: MST Problem

Explores the cutset formulation for the MST Problem and Gomory Cutting Planes method.

Branch & Bound: Optimization

Covers the Branch & Bound algorithm for efficient exploration of feasible solutions and discusses LP relaxation, portfolio optimization, Nonlinear Programming, and various optimization problems.

Solving Linear Programs: SIMPLEX Method

Explains the SIMPLEX method for solving linear programs and optimizing the solution through basis variable manipulation.

Hedging for LPs

Covers the concept of hedging for Linear Programs and the simplex method, focusing on minimizing costs and finding optimal solutions.

Juice Bottling Process Optimization

Covers the optimization of a juice bottling process to reduce costs and enhance integration through non-linear programming.

Energy Conversion Systems Optimization

Explores energy conversion systems optimization through heat recovery and mixed integer linear programming.

Simplex Algorithm: Solution on a Vertex

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

Relations Between Events

Explores relations between events, disjunctive constraints, and modeling with binary variables in optimization problems.

Network Flows and LP Formulations

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