# Tag: Ling-Chieh Kung

## 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....