Calendar
Week # | Day 1 | Day 2 |
---|---|---|
1 | Introduction Ch. 1 | |
2 | Polyhedra; Extreme Points Sec. 2.-2.2 HW 1 Due | Degeneracy; Existence and Optimality of BFSs Sec. 2.3-2.6 |
3 | Optimality Conditions; The Simplex Method Sec. 3.1-3.2 HW 2 Due | Simplex Method Implementations Sec. 3.2-3.3 |
4 | Anticycling, Phase I, Complexity Sec. 3.4-3.5, 3.7 | |
5 | Duality; Proof Based on Simplex Sec. 4.7 HW 3 Due | Interpretation of Duality; Dual Simplex Farkas Lemma Sec. 4.4-4.6 |
6 | Separating Hyperplanes and Duality Sec. 4.7 | Cones, Rays, Representation of Polyhedra Sec. 4.8-4.9 HW 4 Due |
7 | Sensitivity Analysis Sec. 5.1-5.2, 5.4 Evening Exam (covers up to Sec. 4.6) | |
8 | Parametric Programming; Delayed Column Generation; Cuttingplanes Sec. 5.5, 6.1-6.3 | Dantzig-Wolfe Decomposition Sec. 6.4 HW 5 Due |
9 | Interior Point Methods: Affine Scaling Sec. 9.1-9.2 | Other Interior Point Methods Sec. 9.3-9.4 |
10 | Network Problems and the Simplex Method Sec 7.1-7.3 HW 6 Due | Negative Cost Cycle Algorithm Maximum flow Problem Sec. 7.4-7.5 |
11 | Duality in Networks; Shortest Path Problem Sec. 7.6, 7.9 HW 7 Due | |
12 | In-Class Quiz (covers up to Sec. 7.5) | Auction Algorithm Sec. 7.8 |
13 | Integer Programming Formulations Sec. 101-10.2 HW 8 Due | Cutting Plane Methods Branch & Bound Sec. 11.1-11.2 |
14 | Integer Programming Duality; Lagrangean Relaxation Sec. 11.4 | Integer Programming Techniques Sec. 11.3, 11.5, 11.6 HW 9 Due |
15 | Introduction to NP-Completeness Sec. 11.8 | In-Class Quiz |