| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Operations Research I | ENM214 | Turkish | Compulsory | 4. Semester | 4 + 0 | 4.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Dr. Öğr. Üyesi Ahmet CİHAN |
| Instructor(s) | |
| Goals | Teaching the modeling, decision making, linear programming and solution methods used in Operations Research. |
| Course Content | Graphical method in linear programming, simplex method in linear programming, transportation and assignment problems. |
| # | Öğrenme Kazanımı |
| 1 | Learns mathematical modelling |
| 2 | Learns how to solve linear programming problems and how to interpret the solution |
| 3 | Learns the assignment and transportation problems and their solution algorithms |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Introduction of operations research and decision models | |
| 2. Week | Types of decision models, mathematical models, basics of linear models | |
| 3. Week | Graphical method in linear programming | |
| 4. Week | Sensitivity analysis of graphic method in linear programming | |
| 5. Week | Simplex method for linear programming | |
| 6. Week | Sensitivity analysis and solution difficulties in simplex method | |
| 7. Week | Duality, weak and strong duality, complementary slackness theorems for linear programming | |
| 8. Week | Duality, weak and strong duality, complementary slackness theorems for linear programming | |
| 9. Week | Transportation model | |
| 10. Week | Initial solution methods for the transportation model | |
| 11. Week | Solution improvement methods for the transportation model | |
| 12. Week | Assignment problem and its relationship with the transportation model | |
| 13. Week | Hungarian method for assignment problem | |
| 14. Week | Markov chains |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | To have theoretical and / or practical knowledge in the field of mathematics, science, social sciences, engineering and / or industrial engineering, and the ability to use this knowledge to model and solve engineering problems | ✔ | |||||
| 2 | Gaining the ability to work actively in projects and projects aimed at professional development in both individual and multidisciplinary groups and taking responsibility in situations that may arise in this process | ✔ | |||||
| 3 | Knowledge of at least one foreign language at a level that will enable communication with colleagues in the field and follow current developments; ability to write and understand written reports effectively, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | ✔ | |||||
| 4 | To be individuals who are sensitive to universal and social values, have knowledge of professional and ethical responsibilities and standards used in engineering practices. | ✔ | |||||
| 5 | The ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | ✔ | |||||
| 6 | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | ✔ | |||||
| 7 | Ability to select and use modern techniques and tools necessary for the identification, formulation, analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | ✔ | |||||
| 8 | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | ✔ | |||||
| 9 | Knowledge of the universal and societal impacts of engineering practices on health, environment and safety, and contemporary issues reflected in the field of engineering; awareness of the legal consequences of engineering solutions, the necessity of lifelong learning and the ability to continuously renew oneself. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 |
|---|---|---|---|
| PY1 | 5 | 5 | 5 |
| PY2 | 1 | 1 | 1 |
| PY3 | 1 | 1 | 1 |
| PY4 | 2 | 2 | 2 |
| PY5 | 5 | 5 | 5 |
| PY6 | 3 | 3 | 3 |
| PY7 | 4 | 4 | 4 |
| PY8 | 3 | 3 | 3 |
| PY9 | 2 | 2 | 2 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 4 | 56 |
|
Sınavlar |
Midterm 1 | 1 | 12 | 12 |
| Homework 1 | 7 | 4 | 28 | |
| Final | 1 | 15 | 15 | |
| Practice | 14 | 2 | 28 | |
| Practice End-Of-Term | 1 | 14 | 14 | |
| Total Workload | 153 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
