in industry

Amazon, airlines, communication systems use critically use optimization models

“large scale” is between thousands and millions of variables

dodging local extrema to find the global extrema

linear vs non-linear problems

most interesting engineering problems are non-linear

simplex method

if you have a linear problem, the intersections of all your linear constraints is where the optimal solutions will exist

types

LP = linear programming, single objective

NLP = non linear programming, single objective

MOLP = multiple objective, linear programming

MONLP = multiple objective, non linear programming

Mean variance optimization