National Taiwan University
Operations Research (2): Optimization Algorithms
National Taiwan University

Operations Research (2): Optimization Algorithms

Taught in English

Some content may not be translated

14,028 already enrolled

Course

Gain insight into a topic and learn the fundamentals

4.9

(114 reviews)

Intermediate level

Recommended experience

12 hours to complete
3 weeks at 4 hours a week
Flexible schedule
Learn at your own pace

What you'll learn

  • Learn how to use algorithms to solve different types of optimization programs.

  • Learn how to use Gurobi solver with Python to solve these problems efficiently.

Details to know

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Assessments

6 quizzes

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There are 6 modules in this course

In the first lecture, we briefly introduce the course and give a quick review about some basic knowledge of linear algebra, including Gaussian elimination, Gauss-Jordan elimination, and definition of linear independence.

What's included

7 videos1 reading1 quiz

Complicated linear programs were difficult to solve until Dr. George Dantzig developed the simplex method. In this week, we first introduce the standard form and the basic solutions of a linear program. With the above ideas, we focus on the simplex method and study how it efficiently solves a linear program. Finally, we discuss some properties of unbounded and infeasible problems, which can help us identify whether a problem has optimal solution.

What's included

25 videos1 quiz

Integer programming is a special case of linear programming, with some of the variables must only take integer values. In this week, we introduce the concept of linear relaxation and the Branch-and-Bound algorithm for solving integer programs.

What's included

16 videos1 quiz

In the past two weeks, we discuss the algorithms of solving linear and integer programs, while now we focus on nonlinear programs. In this week, we first review some necessary knowledge such as gradients and Hessians. Second, we introduce gradient descent and Newton’s method to solve nonlinear programs. We also compare these two methods in the end of the lesson.

What's included

13 videos1 quiz

As the last lesson of this course, we introduce a case of NEC Taiwan, which provides IT and network solutions including cloud computing, AI, IoT etc. Since maintaining all its service hubs is too costly, they plan to rearrange the locations of the hubs and reallocate the number of employees in each hub. An algorithm is included to solve the facility location problem faced by NEC Taiwan.

What's included

12 videos1 quiz

In the final week, we review the topics that we have learned and give students a summary. Besides, we briefly preview the advanced course to provide future direction of studying.

What's included

3 videos1 quiz

Instructor

Instructor ratings
4.8 (35 ratings)
孔令傑 (Ling-Chieh Kung)
National Taiwan University
8 Courses88,411 learners

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Recommended if you're interested in Algorithms

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4.9

114 reviews

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5

Reviewed on Nov 4, 2023

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5

Reviewed on Feb 11, 2023

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Reviewed on Sep 15, 2021

New to Algorithms? Start here.

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