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The required text for this course is the prepublication edition of Bertsimas, Dimitris, and Robert Weismantel. Optimization over Integers. Belmont, MA: Dynamic Ideas, December 2004. ISBN: 0975914626.
The following schedule outlines due dates for reading completion.
Title for Table Goes Here
| 1 |
Formulations |
Chapter 1 |
| 2 |
Methods to Enhance Formulations |
Appendix A, Chapter 2 |
| 3 |
Methods to Enhance Formulations (cont.) |
Chapter 2 |
| 4 |
Ideal Formulations I |
Chapter 3 |
| 5 |
Ideal Formulations II |
Chapter 3 |
| 6 |
Duality Theory I |
Chapter 4 |
| 7 |
Duality Theory II |
Chapter 4 |
| 8 |
Algorithms for Solving Relaxations |
Chapter 5 |
| 9 |
Lattices I |
Chapter 6 |
| 10 |
Lattices II |
Chapter 6 |
| 11 |
Algebraic Geometry I |
Chapter 7 |
|
Midterm Exam |
Lecture 1-11 |
| 12 |
Algebraic Geometry II |
Chapter 7 |
| 13 |
Geometry I |
Chapter 8 |
| 14 |
Geometry II |
Chapter 8 |
| 15 |
Cutting Plane Methods I |
Chapter 9 |
| 16 |
Cutting Plane Methods II |
Chapter 9 |
| 17 |
The Integral Basis Method I |
Chapter 10 |
| 18 |
The Integral Basis Method II |
Chapter 10 |
| 19 |
Enumerative Methods |
Chapter 11 |
| 20 |
Heuristic Methods |
Chapter 11 |
| 21 |
Complexity and Approximation Algorithms I |
Appendix B, Chapter 12 |
| 22 |
Approximation Algorithms II |
Chapter 12 |
| 23 |
Mixed Integer Optimization I |
Chapter 13 |
| 24 |
Mixed Integer Optimization II |
Chapter 13 |
| 25 |
Robust Discrete Optimization |
Chapter 14 |
|
Final Exam |
|