| Course Type | Elective Course |
| Course Level | Master's Degree Without Thesis |
| Year of Study | - |
| Semester | - |
| ECTS | 10 |
| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- will have an ability to design a system, component, or process to meet desired needs within realistic constraints.
- will have an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.
- will have an ability to solve linear decisions models.
|
| Mode of Delivery | Face to face |
| Prerequisites | No |
| Recommended Optional Programme Components | None |
| Course Description | Origins of Operations Research. Systems approach, interdisciplinary research and the scientific method. Fundamentals and the theory of linear programming. The Simplex algorithm, big-M and two-phase Simplex method. Duality and sensitivity analysis. Transportation and assignment problems; shortest path, minimum spanning tree and minimum cost flow models. Integer programming. Dynamic programming. |
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Methods of Operations Research |
|
2nd Week |
Examples for Linear Programming |
|
3rd Week |
The Generic Form of a Linear Program and Basic Definitions |
|
4th Week |
The Basics of Linear Programming and Solution Approaches |
|
5th Week |
Simplex Algorithm |
|
6th Week |
Variations of the Simplex algorithm |
|
7th Week |
Duality in Linear programming |
|
8th Week |
Midterm exam |
|
9th Week |
Sensitivity Analysis |
|
10th Week |
Transportation and Assignment Models |
|
11th Week |
Shortest path, maximal flows and minimal spanning tree problems |
|
12th Week |
Integer Programming |
|
13th Week |
Goal programming |
|
14th Week |
Computer applications |
|
| Recommended or Required Reading | (1) Kara, İ. (2000) Doğrusal Programlama, Bilim Teknik Yayınevi.
(2) Winston, W.L. (1994) Operations Research: Applications and Algorithms, Duxbury Press.
|
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
35 |
| Quiz |
3 |
20 |
| Attendance |
1 |
5 |
| Total(%) |
|
60 |
| Contribution of In-term Studies to Overall Grade(%) |
|
60 |
| Contribution of Final Examination to Overall Grade(%) |
|
40 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
3 |
4 |
12 |
| Individual or group work |
14 |
14 |
196 |
| Preparation for Final exam |
1 |
20 |
20 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
20 |
20 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
|
|
|
| Total Work Load | 294 |
| Total Work Load / 30 (h) | 9.8 |
| ECTS Credit of the Course | 10 |
|
| Language of Instruction | Turkish |
| Work Placement(s) | No |