| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| ISM5490 | Operations Research | Fall | 3 | 0 | 3 | 12 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | Tr |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Instructor ÖZLEM KANGA |
| Course Objectives: | To introduce students the main concepts of operations research by modeling real-world problems and solving them with computational techniques. Students are expected to achieve the following objectives. Understand common and important business problems Develop the skills to model a problem as a linear programming problem Learn problem solution techniques such as graphical solution approach and simplex algorithm Model transportation problems and solve them using specialized optimization algorithms Learn how to make business decisions from the point of view of optimization |
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The students who have succeeded in this course; Define and explain the concepts of operations research by modeling business problems as Linear Programming (LP) problems Explain the mathematical analysis of the theory of LPs Solve LPs by Simplex method Understand the logic behind the steps in the Simplex method Solve LPs using solver (software) and conduct sensitivity analysis Formulate and solve the transportation and assignment problems Built integer programming models Built Goal programming models |
| Introduction to Operations research LP modeling and graphical solution Selected LP applications Simplex method LINDO solver and Sensitivity Analysis Transportation model and its variants Integer programming Models Goal Programming Models |
| Week | Subject | Related Preparation | |
| 1) | Introduction to OR | ||
| 2) | LP modeling and graphical solution | ||
| 3) | Selected LP applications | ||
| 4) | Selected LP applications | ||
| 5) | Simplex method | ||
| 6) | LINDO solver and Sensitivity Analysis | ||
| 7) | Problem session | ||
| 8) | Midterm exam | ||
| 9) | Transportation model and it variants | ||
| 10) | Integer programming models | ||
| 11) | Integer programming models | ||
| 12) | Goal Programming Models | ||
| 13) | Goal Programming Models | ||
| 14) | Problem session | ||
| Course Notes: | Hamdy A. Taha (2007) Yöneylem Araştırması 6. Basımdan Çeviri, Literetür Yayınları |
| References: | Hamdy A. Taha (2011) Operations Research, 9th Ed. Pearson |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | 0 | % 0 |
| Laboratory | 0 | % 0 |
| Application | 0 | % 0 |
| Field Work | 0 | % 0 |
| Special Course Internship (Work Placement) | 0 | % 0 |
| Quizzes | 0 | % 0 |
| Homework Assignments | 0 | % 0 |
| Presentation | 0 | % 0 |
| Project | 1 | % 30 |
| Seminar | 0 | % 0 |
| Midterms | 1 | % 30 |
| Preliminary Jury | 0 | % 0 |
| Final | 1 | % 40 |
| Paper Submission | 0 | % 0 |
| Jury | 0 | % 0 |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 30 | |
| PERCENTAGE OF FINAL WORK | % 70 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 15 | 10 | 150 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 0 | 0 | 0 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | ||
| Midterms | 1 | 2 | 2 |
| Paper Submission | 0 | ||
| Jury | 0 | ||
| Final | 1 | 2 | 2 |
| Total Workload | 196 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |