Operations Research (OR) is a field in which people use mathematical and engineering methods to study optimization problems in Business and Management, Economics, Computer Science, Civil Engineering, Electrical Engineering, etc.
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Operations Research (2): Optimization Algorithms
Université nationale de TaïwanÀ propos de ce cours
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100 % en ligne
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Niveau intermédiaire
For learners who have already taken basic operations research courses. Experience with calculus, linear algebra, and probability is suggested.
Approx. 12 heures pour terminer
Anglais
Sous-titres : Anglais
Ce que vous allez apprendre
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.
Compétences que vous acquerrez
- Algorithms
- Business Analytics
- Mathematical Optimization
Dates limites flexibles
Réinitialisez les dates limites selon votre disponibilité.
Certificat partageable
Obtenez un Certificat lorsque vous terminez
100 % en ligne
Commencez dès maintenant et apprenez aux horaires qui vous conviennent.
Niveau intermédiaire
For learners who have already taken basic operations research courses. Experience with calculus, linear algebra, and probability is suggested.
Approx. 12 heures pour terminer
Anglais
Sous-titres : Anglais
Offert par
Université nationale de Taïwan
We firmly believe that open access to learning is a powerful socioeconomic equalizer. NTU is especially delighted to join other world-class universities on Coursera and to offer quality university courses to the Chinese-speaking population. We hope to transform the rich rewards of learning from a limited commodity to an experience available to all.
Programme de cours : ce que vous apprendrez dans ce cours
2 heures pour terminer
Course Overview
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.
2 heures pour terminer
7 vidéos (Total 73 min), 1 lecture, 1 quiz
3 heures pour terminer
The Simplex Method
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.
3 heures pour terminer
25 vidéos (Total 168 min)
2 heures pour terminer
The Branch-and-Bound Algorithm
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.
2 heures pour terminer
16 vidéos (Total 121 min)
2 heures pour terminer
Gradient Descent and Newton’s Method
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.
2 heures pour terminer
13 vidéos (Total 102 min)
Avis
- 5 stars89,13 %
- 4 stars6,52 %
- 2 stars2,17 %
- 1 star2,17 %
Meilleurs avis pour OPERATIONS RESEARCH (2): OPTIMIZATION ALGORITHMS
par HP15 sept. 2021
The Course was done earlier, hence, there was no one to answer the forums or questions, otherwise a very good course to learn about applying Python.
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