# Introduction to Linear Programming | Get Started Now!

COURSE AUTHOR –
Krunal Patel

Last Updated on October 18, 2023 by GeeksGod

# Course : Linear Programming basics

Linear programming is a widely used optimization tool in various applications (data science, engineering, transportation, supply chain, etc.). Linear programming also makes the basic foundation behind complex optimization tools like Mixed Integer Linear Programming (MILP) and Column generation. In this course, we will study the basic theoretical concepts related to linear programming.

## Introduction to Linear Programming

The course is organized as follows. In the first section, we will introduce linear programming, and we will explore the convexity and types of optimalities. Then, in the second section, we will build up on the basics to learn ways to solve the linear program using the simplex method.

Linear programming is a widely used optimization tool in various applications (data science, engineering, transportation, supply chain, etc.). Linear programming also makes the basic foundation behind complex optimization tools like Mixed Integer Linear Programming (MILP) and Column generation. In this course, we will study the basic theoretical concepts related to linear programming.

### Linear Programming Convexity and Optimalities

We will then explore the concept of linear programming duality. We will also go through some of the hardest-to-understand concepts like strong duality, complementary slackness, and Farkas’ lemma. Furthermore, we try to understand these concepts in an easy-to-follow way.

This course will provide a thorough understanding of linear programming concepts and techniques. The goal is to equip students with the knowledge and skills needed to solve optimization problems using linear programming.

#### Linear Programming Duality

At the end of each section, there are assignments to help you evaluate your knowledge. These assignments will test your understanding of the concepts covered in the lectures.

##### Sensitivity Analysis in Linear Programming

As you would have noticed, this course doesn’t explore modeling optimization problems as a linear program much. That is a separate topic and deserves an entire course on it.

###### Background in Linear Algebra

A background in basic linear algebra is needed to understand the proofs. In case you face trouble with any of the lectures or assignments, feel free to reach out to me. I am always eager to help students. You can also schedule office hours from my website once a week (first come, first served) to clear your doubts.

## Conclusion

In conclusion, this course on linear programming basics provides a solid foundation in the theoretical concepts and techniques used in linear programming. By understanding the fundamentals, students will be able to solve optimization problems and make informed decisions in various fields.

With a focus on Free Udemy Coupon, linear programming basics, this course offers valuable knowledge and skills that can enhance your understanding and application of linear programming. Enroll now and take advantage of the opportunity to deepen your understanding of linear programming and its practical applications.

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## What you will learn :

1. Describe what a linear program is.
2. Solve a linear program using graphical and simplex methods.
3. Compute the dual of the given linear program.
4. Use the primal and dual values to prove optimality or infeasibility of the given linear program..
5. Compute how the solution value changes under minor modification of the given linear program.