| 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 |
| MAT5015 | Mathematical Programming and Modelling | 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 : | Dr. GENCO FAS |
| Course Objectives: | The course will provide an introduction to optimization and consider required fundamental concepts on industry, planning and logistics. |
|
The students who have succeeded in this course; Students will learn mathematical modelling and exact and heuristic solution methods about real life problems. |
| Introduction to optimization and mathematical modelling, 2-dimentional linear programming, Integer programming, Simplex Method, Quadratic Assignment, Trasportation, Location-Allocation Problems. |
| Week | Subject | Related Preparation | |
| 1) | Introduction to Linear Programming | ||
| 2) | Real life problems on two-dimentional linear programming | ||
| 3) | Simplex Method: Definitions and basic operations | ||
| 4) | Simplex Method (cont.) | ||
| 5) | Big-M and Two-Phase Methods | ||
| 6) | Revised Simplex Method and Duality | ||
| 7) | Karush Kuhn Tucker Conditions | ||
| 8) | Integer Programming | ||
| 9) | Travelling Salesman and Location - Allocation Models | ||
| 10) | Quadratic Assignment Problem | ||
| 11) | Some Heuristic Methods such as Simulated Annealing and Genetic Algorithm. | ||
| 12) | Branch and Bound Method | ||
| 13) | Applications and Review | ||
| 14) | Review | ||
| Course Notes: | - Operations research: An Introduction, Hamdy A. Taha, Prentice Hall |
| References: | - Facilities Design, Sunderesh S. Heragu, CRC Press |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | 14 | % 10 |
| Laboratory | % 0 | |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | % 0 | |
| Homework Assignments | 2 | % 10 |
| Presentation | % 0 | |
| Project | % 0 | |
| Seminar | % 0 | |
| Midterms | 1 | % 30 |
| Preliminary Jury | % 0 | |
| Final | 1 | % 50 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| 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 | 14 | 8 | 112 |
| Presentations / Seminar | 2 | 2 | 4 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 2 | 10 | 20 |
| Quizzes | 2 | 2 | 4 |
| Preliminary Jury | 0 | ||
| Midterms | 2 | 2 | 4 |
| Paper Submission | 0 | ||
| Jury | 0 | ||
| Final | 1 | 14 | 14 |
| Total Workload | 200 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |