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Related lectures (30)
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Convex Sets: Theory and Applications
Explores convex sets, their properties, and applications in optimization.
Linear Programming: Weighted Bipartite Matching
Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.
Initial BFS
Explores finding the initial Basic Feasible Solution (BFS) in a linear program.
The transhipment problem: Total unimodularity
Covers the transhipment problem, optimal solutions, and total unimodularity in matrices.
Optimal Decision Making: Sensitivity Analysis
Covers sensitivity analysis in linear programming, focusing on optimal solutions and their sensitivities to changes.
Optimization Methods: Theory Discussion
Explores optimization methods, including unconstrained problems, linear programming, and heuristic approaches.
Linear Programming Basics
Introduces linear programming basics, including optimization problems, cost functions, simplex algorithm, geometry of linear programs, extreme points, and degeneracy.
Linear Programming Duality
Covers linear programming duality and complementary slackness condition.
Dual Translations in Linear Programming
Explores dual translations in linear programming, emphasizing primal and dual formulations and the significance of invertible submatrices.
Relations Between Events
Explores relations between events, disjunctive constraints, and modeling with binary variables in optimization problems.