
| Course Code | : ULT301 |
| Course Type | : Required |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
The primary objective of this course is to equip students with the ability to mathematically model and formulate real-world decision-making problems, and to generate numerical solutions for these models. To this end, the course aims to foster a deep understanding of the fundamental assumptions and concepts of Linear Programming. Students will learn various solution techniques, ranging from the graphical method to the Simplex algorithm, enabling them to address optimization problems at both theoretical and practical levels. Furthermore, by modeling and solving special problem types like transportation and assignment problems, and by conducting sensitivity analyses, students will gain the skill to interpret how obtained solutions behave in response to parameter changes. Finally, the course will provide students with practical skills to solve complex optimization problems in a computer environment, offering an opportunity to apply theoretical knowledge to real-world scenarios.
This course aims to equip students with the ability to mathematically model real-world optimization problems using linear programming, solve them with various methods, analyze the solutions, and implement these solutions in a computer environment.
| Lec. Kamil BİRCAN |
| 1. | Explain the basic concepts of operations research and its role in decision-making problems. |
| 2. | Formulate real-life decision problems as mathematical models using the linear programming approach. |
| 3. | Solve linear programming models using appropriate solution methods such as the graphical method and the simplex algorithm. |
| 4. | Interpret duality and sensitivity analysis results in linear programming models. |
| 5. | Model transportation, assignment, and similar optimization problems and solve them in a computer environment. |
| 1. | Winston, W. L., Operations Research: Applications and Algorithms, Thomson Learning, 2004. |
| 2. | Öztürk, A. (2021). Yöneylem araştırması (17. bs.). Ekin Yayınevi. |
| 3. | Özdemir, M. ve Okursoy, A. (2022). Doğrusal programlama ve simplex yöntemi. Nobel Akademik Yayıncılık. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Quiz | 2 | %10 |
| Midterm Examination | 1 | %30 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 13 | 0 | 3 | 39 |
| Individual Work | 13 | 0 | 4 | 52 |
| Quiz | 2 | 3 | 2 | 10 |
| Midterm Examination | 1 | 27 | 1 | 28 |
| Final Examination | 1 | 26 | 1 | 27 |
| TOTAL WORKLOAD (hours) | 156 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | |
OÇ-1 | 3 | 4 | 4 | 3 | 1 | 2 | 2 | |
OÇ-2 | 3 | 5 | 5 | 4 | 1 | 2 | 2 | |
OÇ-3 | 2 | 4 | 5 | 5 | 1 | 2 | 2 | |
OÇ-4 | 2 | 4 | 5 | 5 | 1 | 3 | 3 | |
OÇ-5 | 4 | 5 | 5 | 5 | 5 | 4 | 3 | |