Duality: Economic InterpretationExplores duality in linear programming, strong duality, complementary slackness, and the economic interpretation of dual variables as prices.
Duality in Linear ProgrammingExplores the concept of duality in linear programming, discussing the relationship between primal and dual problems.
Linear Programming DualityExplores Linear Programming Duality, covering weak duality, strong duality, Lagrange multipliers interpretation, and optimization constraints.
Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Proof of Strong DualityCovers the proof of strong duality in optimization problems and provides examples of Rayleigh quotient optimization.
Optimal Decision AnalysisExplores strong duality, complementary slackness, economic interpretation, and stochastic problem scenarios in linear programming.
Weak and Strong DualityCovers weak and strong duality in optimization problems, focusing on Lagrange multipliers and KKT conditions.
Optimization PrinciplesCovers optimization principles, including linear optimization, networks, and concrete research examples in transportation.
