1. IE 631 Integer Programming Fall 2013 1

2. Course Objectives  Modeling techniques (Which formulation is good or bad?)  Algorithms and theoretical backgrounds  Computational Complexity  Softwares (Xpress MP, CPLEX) Integer Programming 2013 2

3. 3  Instructor  Sungsoo Park (room 4112, sspark@kaist.ac.kr, tel:3121)sspark@kaist.ac.krtel:3121  Office hour: Tue., Thr. 14:30 – 17:00 or by appointment  Classroom: E2 room 1120  Class hour: Tue., Thr. 13:00 – 14:30  Homepage: http://solab.kaist.ac.krhttp://solab.kaist.ac.kr  TA:  Kiho Seo (room 4113, emffp1410@ kaist.ac.kr, tel:3161)tel:3161  Office hour: Mon., Wed. 14:30 – 17:00 or by appointment  Grading: Midterm 30-40%, Final 40-60%, HW 10-20% (including Software)

4.  Text: "Integer and Combinatorial Optimization" by G. Nemhauser and L. Wolsey, 1988, Wiley  Supplementary sources  "Optimization over Integers" by D. Bertsimas and R. Weismantel, 2005, Dynamic Ideas.  "Integer Programming" by L. Wolsey, 1998, Wiley  "Computers and Intractability: A Guide to the Theory of NP-completeness" by M. Garey and D. Johnson, 1979, Freeman  Prerequisites: IE 531 Linear Programming or consent of instructor Integer Programming 2013 4

5.  Topics  Formulations  Polyhedral theory  Computational complexity  Branch-and-bound algorithm  Strong valid inequalities, cutting plane algorithms  Duality and relaxation, Lagrangian duality, Benders' decomposition  Branch-and-price algorithm, Branch-and-price-and-cut algorithm  (Robust optimization) Integer Programming 2013 5