Compared with linear programs, non-linear programs (NLPs) are much more difficult to solve. In an NLP, a local...

Network flow models are one specific format of mathematical programs. These are used to study operations that are...

Previously, we mentioned that an sensitivity analysis tool called Shadow Price is helpful to evaluate the impact of...

When you are given a linear program, in many cases we call it a primal linear program. It...

When it comes to Operations Research, we are mainly talking about optimization problems, so the theories are mainly...

Operations Research (2): Optimization AlgorithmsNational Taiwan University You probably have used some solver / optimizer software to solve...

The objectives for any research is that we want to build a mathematical model to formulate the given problem. The...

Non-Linear Programs When visualizing a linear program, its feasible region looks like a polygon. Because the objective function...

In some cases, variables must take integer values, or binary values. Formulating and solving the models with integer...

The simplex method is the most fundamental tool in linear programming, it is a single algorithm that is...

There are 2 perspectives to look at linear equation systems, row view and column view. Both are equivalent,...

Operations Research (1): Models and ApplicationsNational Taiwan University This is an amazing beginner-level course about Operations Research (abbr....

In many cases, we need to deal with nonlinear situations, e.g.: product pricing decision, inventory, portfolio optimization. Above...

Integer programming is generally from linear programming but allowing you to have integer variables, which means you may...

Almost all of problems that Linear Programming is able to solve is about resource allocation, for example: product...

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