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Models and bounds

Part I of the course. What an integer linear programming problem is (MIP, ILP, BIP), its solutions and outcomes; primal and dual bounds, the gap and the LP relaxation.

Lecture notes, volume 1 (PDF)

  • 1. Integer linear programming


    Canonical maximization form · Possible outcomes · Complete enumeration · Typical mistakes · …

    Read the chapter · Exercises

  • 2. Primal and dual bounds


    Primal and dual bounds · Primal bounds: heuristic solutions · The LP relaxation · Rounding the solution of the LP relaxation · …

    Read the chapter · Exercises