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Strengthening the formulation

Part II of the course. Ideal formulations, valid inequalities and cover inequalities: how to strengthen a formulation.

Lecture notes, volume 1 (PDF)

  • 3. Ideal formulations


    The convex hull · Formulations and ideal formulations · Comparing formulations · Existence of ideal formulations · …

    Read the chapter · Exercises

  • 4. Valid inequalities


    Valid inequalities · Deriving valid inequalities by rounding · Improving a valid inequality · Families of valid inequalities and cuts · …

    Read the chapter · Exercises

  • 5. Cover inequalities


    A constraint with positive coefficients and its LP relaxation · Covers and cover inequalities · Geometric interpretation · Separation of cover inequalities · …

    Read the chapter · Exercises