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Mathematical Programming

Mathematical programming is a method to find the most optimized solution for mathematical model.

We find the most optimized solution in other fields. For example,
Design of Experiments : To find the most preferred plan of experiment.
Quality Engineering : To find the most stable condition of quality.
Regression Analysis : To find the most likely function.

So, you may have the question, "What is Mathematical Programming?"

I think "Mathematical Programming" is that

"Problems" in Mathematical Programming

There are some "problems". Mathematical programming tries to solve those problems. Popular method is Linear Programming

Linear Programming

If there are several inequality, the range of solution is limited. Linear Programming is the method to find the optimized solution of linear inequalities.

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