ENME 741
Operations Research Models in Engineering
Approximate Schedule and Homeworks
FALL 2022
Note:
Linear algebra review will be done by the students independently of the lectures, materials to be given out
Lecture number format: module.lecture #
Module 1: Mostly devoted to linear programming problems, basic concepts, some more advanced modeling
Module 2: Nonlinear programming problems (integer linear, nonlinear programs, game theory)
Weeks |
Week starting |
Lecture subjecct (recorded video)/class time discussion | Homeworks |
1 |
Aug. 30 | Module 1 : Lecture 1.1 -Read Chapter 3, 3.1-3.3, a lot of this will be convered in the first lectures, skim 3.4-3.12 for interesting LP applications (some will be covered later) -LP, Duality, Sensitivity Analysis
|
Homework #1 assigned |
2 |
Sept. 6 | Module 1 : Lecture 1.2 -Read Chapter 3, 3.1-3.3, a lot of this will be convered in the first lectures, skim 3.4-3.12 for interesting LP applications (some will be covered later) -LP, Duality, Sensitivity Analysis |
Homework #2 assigned, homework #1 due |
3 |
Sept. 13 | Module 1 : Lecture 1.3 start of -Network Models (General) |
|
4 |
Sept. 20 | Module 1 : Lecture 1.4 |
Homework #4 assigned, homework #3 due |
5 |
Sept. 27 | Module 1 : Lecture 1.5 |
Homework #5 assigned, homework #4 due |
6 | Oct. 4 | Mid-term #1: during class time | |
7 |
Oct. 11 | Module 2 : Lecture 2.1
|
Homework #6 assigned, homework #5 due |
8 | Oct. 18 | Module 2 : Lecture 2.2 -Integer Programming, Branch and Bound method for solving integer programs -Nonlinear Programming Fundamentals |
Homework #7 assigned, homework #6 due |
9 |
Oct. 25 | Module 2 : Lecture 2.3
|
Homework #8 assigned, homework #7 due |
10 |
Nov. 1 | Module 2 : Lecture 2.4 [Sections 14.1-14.6+Gabriel et al. (2013)], natural gas and power networks with engineering considerations (Gabriel et al. Appendices + handouts)] Nonlinear Programming Fundamentals |
homework #8 due |
11 |
Nov. 8 | Module 2 : Lecture 2.5 [Sections 14.1-14.6+Gabriel et al. (2013)], natural gas and power networks with engineering considerations (Gabriel et al. Appendices + handouts)] |
work on projects |
12 |
Nov. 15 | Mid-term #2: during class time |
|
12 |
Nov. 22 | Module 2 : Lecture 2.6 [Sections 14.1-14.6+Gabriel et al. (2013)], natural gas and power networks with engineering considerations (Gabriel et al. Appendices + handouts)] |
work on projects
|
13 |
Nov. 29 | Module 2: Lecture 2.7 -Market Equilibria and Optimization [Sections 14.1-14.6+Gabriel et al. (2013)], natural gas and power networks with engineering considerations (Gabriel et al. Appendices + handouts)] |
work on projects |
14 | Dec. 6
|
Project Presentations (students)
|
project presentations (in class)+ project reports due |
Class Text
Operations Research Applications and Algorithms, W.L. Winston (4th edition)