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Lecture
Formulation, Problem Definition
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Related lectures (32)
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Simplex Algorithm: Initial Tableau & General Case
Covers the simplex algorithm, from initial tableau to general case.
Optimization with Constraints: Theory and Applications
Covers the theory and applications of optimization with constraints, including key concepts and numerical methods.
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.
Approximation Algorithms
Covers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Optimization: Constrained Volume Problems
Explores constrained volume problems using Lagrange multipliers to find extrema under constraints in various examples.
Multi-Objective Optimization: Methods & Solutions
Explores key performance indicators, multi-objective optimization, and heuristic methods for reaching optimum solutions.
Equality and Inequality Constraints: Optimization Conditions
Covers necessary optimality conditions for optimization with constraints and discusses cones and polar sets.
Simplex algorithm: From vertex to vertex
Explains the simplex algorithm process of finding the next vertex and selecting variables.
Quadratic Penalty Methods: Sound Problems
Explores Quadratic Penalty Methods for optimization with enforced constraints using penalty functions.
Optimization Problems: Path Finding and Portfolio Allocation
Covers optimization problems in path finding and portfolio allocation.