Teaching notes OR 2019
This page is under construction (September 30, 2019).Here you can find the Teaching Notes of the OR-Fall2018 (English) course.The Italian version (2015-16) is available here.
- MATERIAL LECTURE 1: Slide 1st lecture, Chap1-2 of Hillier, Lieberman - Introduction to Operations Research, McGraw-Hill Education (2015), Dantzig's memory, George Dantzig in the development of economic analysis (by k. J. Arrow, Discrete Optimization, 5 (2), 2008)
- MATERIAL LECTURE 2: slide 2nd lecture. description of the production problem.
- MATERIAL LECTURE 3: Teaching notes Chapter 1 (basic definitions optimization problems)
- MATERIAL LECTURE 4-5-6: Teaching notes Chapter 2:convex analysis; Appendix B of D. Bertsekas, Nonlinear Programming- 2nd ed.
The chapters might be updated during the course. The notes do not include any in-depth topics. For more details, you can consider additional references that you find listed in the Lectures list.
- Chapter 1 basic definitions optimization problems
- Chapter 2:convex analysis
- Chapter 3: optimality conditions - generalities, unconstrained case
- Chapter 4: optimality over a convex set
- Chapter 5: optimality over a polyhedron (1st part)
- Chapter 6: alternative theorems and KKT conditions
- Chapter 7: duality in LP
- Chapter 8: Theory of LP
- Chapter 9: Basic of the simplex method
- Chapter 10: Basics of ILP
