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 (3): Theory
Universidad Nacional de TaiwánAcerca de este Curso
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Fechas límite flexibles
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Certificado para compartir
Obtén un certificado al finalizar
100 % en línea
Comienza de inmediato y aprende a tu propio ritmo.
Nivel avanzado
This course is appropriate for students with experience Calculus, Linear Algebra, and Probability.
Aprox. 14 horas para completar
Inglés (English)
Subtítulos: Inglés (English)
Qué aprenderás
Understand the theoretical properties of linear programs, integer programs, and nonlinear programs.
Apply the mathematical properties to reduce the complexity of real-world problems or to solve it.
Habilidades que obtendrás
- Theory
- Business Analytics
- Mathematical Optimization
Fechas límite flexibles
Restablece las fechas límite en función de tus horarios.
Certificado para compartir
Obtén un certificado al finalizar
100 % en línea
Comienza de inmediato y aprende a tu propio ritmo.
Nivel avanzado
This course is appropriate for students with experience Calculus, Linear Algebra, and Probability.
Aprox. 14 horas para completar
Inglés (English)
Subtítulos: Inglés (English)
ofrecido por
Universidad Nacional de Taiwán
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Programa - Qué aprenderás en este curso
1 hora para completar
Course Overview
In the first lecture, after introducing the course and the importance of mathematical properties, we study the matrix way to run the simplex method. Being more familiar with matrices will help us understand further lectures.
1 hora para completar
5 videos (Total 65 minutos), 1 lectura, 1 cuestionario
2 horas para completar
Duality
In this week, we study the theory and applications of linear programming duality. We introduce the properties possessed by primal-dual pairs, including weak duality, strong duality, complementary slackness, and how to construct a dual optimal solution given a primal optimal one. We also introduce one important application of linear programming duality: Using shadow prices to determine the most critical constraint in a linear program.
2 horas para completar
14 videos (Total 120 minutos)
1 hora para completar
Sensitivity Analysis and Dual Simplex Method
In the past two weeks, we study the simplex method and the duality. On top of them, the dual simplex method is discussed in this lecture. We apply it to one important issue in sensitivity analysis: evaluating a linear programming model with a new constraint. A linear programming model with a new variable is also discussed.
1 hora para completar
8 videos (Total 52 minutos)
2 horas para completar
Network Flow
In this lecture, we introduce network flow models, which are widely used for making decision regarding transportation, logistics, inventory, project management, etc. We first introduce the minimum cost network flow (MCNF) model and show hot it is the generalization of many famous models, including assignment, transportation, transshipment, maximum flow, and shortest path. We also prove a very special property of MCNF, total unimodularity, and how it connects linear programming and integer programming.
2 horas para completar
11 videos (Total 89 minutos)
Reseñas
- 5 stars97,61 %
- 4 stars2,38 %
Principales reseñas sobre OPERATIONS RESEARCH (3): THEORY
por SW17 de abr. de 2022
This is a good course. It provides necessary theoretical foundations.
por OG30 de oct. de 2021
Excellent intro into the vast world of optimization and operations research. Please make one on stochastic processes and programming next!
por AN21 de jul. de 2022
Very thorough and challenging for Operations Research candidates! Gives a very good foundation of Lagrangean decomposition and Duality theory!
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