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.