Discrete optimization: Knapsack

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Optimal Decision Making: Exercises & Solutions

Covers exercises and solutions in translating text problems into linear programming and optimizing decision-making processes.

Relations Between Events

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

Linear Optimization Techniques: Problem Solving Approaches

Provides an overview of linear optimization techniques, focusing on problem-solving methods and the importance of constraints and objective functions.

Optimisation Problem: Solving by FM

Covers the modelling and optimization of energy systems, focusing on solving optimization problems with constraints and variables.

Linear Programming Basics

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

Approximation Algorithms

Covers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.

Optimal Decision Making: Linear Programming for Project Scheduling

Covers linear programming for project scheduling to minimize completion time.

Integer Programs: Optimization and Constraints

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

Dynamic Programming: Steinitz Sequence

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

Energy Systems Modeling and Optimization

Explores energy system modeling, optimization, infrastructure development, and technology assessment for long-term energy planning.