Operations Research (3): Theory

Instructor: 孔令傑 (Ling-Chieh Kung)

What you'll learn

  •   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.
  • Skills you'll gain

  •   Applied Mathematics
  •   Network Model
  •   Mathematical Modeling
  •   Advanced Mathematics
  •   Process Optimization
  •   Operations Research
  •   Algorithms
  •   Statistical Machine Learning
  •   Linear Algebra
  •   Transportation Operations
  •   Machine Learning
  • There are 8 modules in this course

    The series of courses consists of three parts, we focus on deterministic optimization techniques, which is a major part of the field of OR. As the third part of the series, we study mathematical properties of linear programs, integer programs, and nonlinear programs. We also introduce applications of these theoretical properties: How they help us develop better ways to solve mathematical programs.

    Duality

    Sensitivity Analysis and Dual Simplex Method

    Network Flow

    Convex Analysis

    Lagrangian Duality and the KKT condition

    Case Study

    Course Summary and Future Learning Directions

    Explore more from Algorithms

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