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This course introduces students to the theory, algorithms, and applications of optimization.

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English

English [CC]

FREE

Description

The optimization methodologies include linear programming, network optimization, integer programming, and decision trees. Applications to logistics, manufacturing, transportation, marketing, project management, and finance. Includes a team project in which students select and solve a problem in practice

Course content

  • Introduction Unlimited
  • Formulations of linear and non-linear programs Unlimited
  • Geometry and visualizations of linear programs Unlimited
  • The simplex method 1 Unlimited
  • The simplex method 2 Unlimited
  • Sensitivity analysis and shadow prices Unlimited
  • Game theory 1: 2-person 0-sum, or constant sum Unlimited
  • Game theory 2 Unlimited
  • Discussion of projects; slack variables vs. artificial variables Unlimited
  • Introduction to integer programming Unlimited
  • Integer programming formulations Unlimited
  • Integer programming techniques 1: branch and bound Unlimited
  • Integer programming techniques 2: cutting planes Unlimited
  • Integer programming formulations, again Unlimited
  • Networks 1: Shortest path problem Unlimited
  • Networks 2: Network flows Unlimited
  • Networks 3: Traveling salesman problem Unlimited
  • Decision trees 1 Unlimited
  • Decision trees 2: the value of information Unlimited
  • Behavioral economics Unlimited

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Instructor

Massachusetts Institute of Technology
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