My 130th certificate from Coursera
Operations Research (3): Theory National Taiwan University What a long journey, but totally worth it! The theory taught...
Operations Research: The Theory for Regression and SVM
The theory of Operations Research has been used to develop models in many fields like statistics and machine...
Lagrangian Duality and KKT Condition
In the case of unconstrained non-linear programs, we may determine whether the objective function is convex and then...
Convex Analysis
Compared with linear programs, non-linear programs (NLPs) are much more difficult to solve. In an NLP, a local...
Minimum Cost Network Flow
Network flow models are one specific format of mathematical programs. These are used to study operations that are...
Sensitivity Analysis and Dual Simplex Method
Previously, we mentioned that an sensitivity analysis tool called Shadow Price is helpful to evaluate the impact of...
Linear Programming Duality
When you are given a linear program, in many cases we call it a primal linear program. It...
Matrix Presentation of Simplex Method
When it comes to Operations Research, we are mainly talking about optimization problems, so the theories are mainly...
My #82 course certificate from Coursera
Operations Research (2): Optimization AlgorithmsNational Taiwan University You probably have used some solver / optimizer software to solve...
Heuristic Algorithms: A Case Study
The objectives for any research is that we want to build a mathematical model to formulate the given problem. The...
Non-Linear Programming: Gradient Descent and Newton’s Method
Non-Linear Programs When visualizing a linear program, its feasible region looks like a polygon. Because the objective function...
Branch-and-Bound & Heuristic Algorithms
In some cases, variables must take integer values, or binary values. Formulating and solving the models with integer...
The Simplex Method
The simplex method is the most fundamental tool in linear programming, it is a single algorithm that is...
Linear Algebra in Operations Research
There are 2 perspectives to look at linear equation systems, row view and column view. Both are equivalent,...
My #73 course certificate from Coursera
Operations Research (1): Models and ApplicationsNational Taiwan University This is an amazing beginner-level course about Operations Research (abbr....