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Duality Course

Duality Course
4 to 360h flexible workload
certificate valid in your country

What will I learn?

This course provides a practical guide from primal linear programming formulation to dual interpretation. Learners will represent models in matrix form, construct primal-dual pairs, and link dual variables to shadow prices. Using targeted examples, participants solve small systems, confirm strong duality and complementary slackness, and apply dual theory to real-world problem-solving.

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Develop skills

  • Model linear programs in matrix notation by extracting A, b, c from constraints.
  • Construct dual problems from primal forms using sign conventions and shadow price meanings.
  • Interpret dual spaces with rows of A as linear functionals and pricing mechanisms.
  • Hand-solve compact primal-dual systems and validate strong duality plus slackness.
  • Apply duality concepts to production planning and optimization in multidimensional spaces.

Suggested summary

Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.
Workload: between 4 and 360 hours

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