![Certificate Operations Research (3): Theory](https://kzhu.ai/wp-content/uploads/2023/04/Coursera-LMELS564HLDY.jpg)
My 130th certificate from Coursera
Operations Research (3): Theory National Taiwan University What a long journey, but totally worth it! The theory taught...
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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...
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Lagrangian Duality and KKT Condition
In the case of unconstrained non-linear programs, we may determine whether the objective function is convex and then...
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Convex Analysis
Compared with linear programs, non-linear programs (NLPs) are much more difficult to solve. In an NLP, a local...
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Minimum Cost Network Flow
Network flow models are one specific format of mathematical programs. These are used to study operations that are...
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Sensitivity Analysis and Dual Simplex Method
Previously, we mentioned that an sensitivity analysis tool called Shadow Price is helpful to evaluate the impact of...
![](https://kzhu.ai/wp-content/uploads/2023/01/vincent-van-zalinge-4Mu2bXIsn5Y-unsplash.jpg)
Linear Programming Duality
When you are given a linear program, in many cases we call it a primal linear program. It...
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Matrix Presentation of Simplex Method
When it comes to Operations Research, we are mainly talking about optimization problems, so the theories are mainly...
![Certificate Operations Research (2): Optimization Algorithms](https://kzhu.ai/wp-content/uploads/2022/01/Coursera-97WBKFBSGNM8-1024x791.jpg)
My #82 course certificate from Coursera
Operations Research (2): Optimization AlgorithmsNational Taiwan University You probably have used some solver / optimizer software to solve...
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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...
![Gradient and Hessian](https://kzhu.ai/wp-content/uploads/2021/12/Operations-Research-2-6-724x1024.jpg)
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...
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Branch-and-Bound & Heuristic Algorithms
In some cases, variables must take integer values, or binary values. Formulating and solving the models with integer...
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The Simplex Method
The simplex method is the most fundamental tool in linear programming, it is a single algorithm that is...
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Linear Algebra in Operations Research
There are 2 perspectives to look at linear equation systems, row view and column view. Both are equivalent,...
![Certificate Operations Research (1): Models and Applications](https://kzhu.ai/wp-content/uploads/2021/10/Coursera-CLZ757QTFKFA-1024x791.jpg)
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....