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
Universidade Nacional de TaiwanInformações sobre o curso
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Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Certificados compartilháveis
Tenha o certificado após a conclusão
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Nível avançado
This course is appropriate for students with experience Calculus, Linear Algebra, and Probability.
Aprox. 14 horas para completar
Inglês
Legendas: Inglês
O que você vai aprender
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 você terá
TheoryBusiness AnalyticsMathematical Optimization
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Certificados compartilháveis
Tenha o certificado após a conclusão
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Nível avançado
This course is appropriate for students with experience Calculus, Linear Algebra, and Probability.
Aprox. 14 horas para completar
Inglês
Legendas: Inglês
oferecido por
Universidade Nacional de Taiwan
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.
Programa - O que você aprenderá com este curso
1 hora para concluir
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 concluir
5 vídeos (Total 65 mín.), 1 leitura, 1 teste
2 horas para concluir
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 concluir
14 vídeos (Total 120 mín.)
1 hora para concluir
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 concluir
8 vídeos (Total 52 mín.)
2 horas para concluir
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 concluir
10 vídeos (Total 80 mín.)
Perguntas Frequentes – FAQ
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