Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Quasi-newton optimizationCovers gradient line search methods and optimization techniques with an emphasis on Wolfe conditions and positive definiteness.
Introduction to OptimizationCovers the basics of optimization, including historical perspectives, mathematical formulations, and practical applications in decision-making problems.
Optimization PrinciplesCovers optimization principles, including linear optimization, networks, and concrete research examples in transportation.
Initial BFSExplores finding the initial Basic Feasible Solution (BFS) in a linear program.
Proof of Strong DualityCovers the proof of strong duality in optimization problems and provides examples of Rayleigh quotient optimization.
Optimisation in Energy SystemsExplores optimization in energy system modeling, covering decision variables, objective functions, and different strategies with their pros and cons.