Course Title | Code | Semester | L+U Hour | Credits | ECTS |
---|---|---|---|---|---|
Operation Research | AEM202 | 4. Semester | 3 + 0 | 3.0 | 3.0 |
Prerequisites | None |
Language of Instruction | Turkish |
Course Level | Undergraduate |
Course Type | |
Mode of delivery | Required |
Course Coordinator | |
Instructors |
Hasan Hüseyin CİRİTCİOĞLU |
Assistants | |
Goals | Learning operations research techniques. |
Course Content | To get the ability of modelling the linear programming problems To get the ability of solving the linear programming problems and the ability of interpreting the outputs To get the ability of investigating the effects of the changes in the model parameters on optimal solution. |
Learning Outcomes |
- To get the ability of modelling the linear programming problems - • To get the ability of solving the linear programming problems and the ability of interpreting the outputs - To get the ability of investigating the effects of the changes in the model parameters on optimal solution. |
Week | Topics | Learning Methods |
---|---|---|
1. Week | A brief history and development of operations research, definition of basic concepts in OR. | |
2. Week | Verbal definition of linear programming problems, construction of mathematical model of various decision problems. | |
3. Week | Matrices and determinants | |
4. Week | Plotting a linear programming problem with two variables on a two dimensional graph, denoting the feasible solution space. | |
5. Week | Graphical solution methods in Linear Programming. | |
6. Week | Graphical sensitivity analysis on the constraints’ right-hand-side constants. Graphical solution of problem situations that may arise in particular. | |
7. Week | Algebraic Method Simplex Method: Constraint creation of the standard form of the simultaneous equations and algebraic methods accordingly simplex method. | |
8. Week | Big-M and Two-Phase Methods | |
9. Week | 10 Primal-dual relationship. Forming dual forms when Primal models are given. Methods for finding Dual forms. | |
10. Week | Transportation model | |
11. Week | Assignment problem | |
12. Week | Network analysis (project planning technique) | |
13. Week | Critical Path Method (CPM) | |
14. Week | Modeling of various sectorial problems. |
Course Book / Notes • Taha, H., An Introduction to Operations Research, 9th Ed., Prentice Hall, (2010). |
• Winston, W.L., An Introduction to Operation Research: Applications and Algorithms, 4th Ed., 2003, |
Yöneylem Araştırması, Ahmet Öztürk, Ekin Kitapevi, Bursa, 2007. |
Program Requirements | Contribution Level | DK1 | DK2 | DK3 | Measurement Method |
---|
0 | 1 | 2 | 3 | 4 | 5 | |
---|---|---|---|---|---|---|
Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
Event | Quantity | Duration (Hour) | Total Workload (Hour) |
---|---|---|---|
Midterm 1 | 1 | 3 | 3 |
Homework 1 | 3 | 3 | 9 |
Homework 2 | 3 | 3 | 9 |
Final | 1 | 3 | 3 |
Practice | 3 | 4 | 12 |
Classroom Activities | 14 | 3 | 42 |
Total Workload | 78 | ||
ECTS Credit of the Course | 3.0 |