Integer Programming Basics

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Linear Programming Basics

Covers the basics of linear programming, defining corners, extreme points, and feasible solutions within polyhedrons.

Optimization Principles

Covers optimization principles, including linear optimization, networks, and concrete research examples in transportation.

Linear Programming Basics

Introduces linear programming basics, including optimization problems, cost functions, simplex algorithm, geometry of linear programs, extreme points, and degeneracy.

Energy Conversion Systems Optimization

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

Linear Programming Basics

Covers deriving basic linear program representation, finding solutions, and exploring optimality.

Duality: Economic Interpretation

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

Linear Programming: Solving LPs

Covers the process of solving Linear Programs (LPs) using the simplex method.

Branch and Bound: Heuristic Maximization

Explains the Branch and Bound algorithm for heuristic maximization problems using LP relaxations and pruning techniques.

Simplex Algorithm: Exercises & Interpretation

Covers exercises on the Simplex Algorithm, optimizing solutions subject to linear constraints.

Dynamic Programming: Steinitz Sequence

Explores dynamic programming with the Steinitz sequence to optimize solutions efficiently.