| INDUSTRIAL ENGINEERING (ENGLISH, THESIS) | |||||
| Master | TR-NQF-HE: Level 7 | QF-EHEA: Second Cycle | EQF-LLL: Level 7 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| INE5111 | Mathematical Programming and Modelling | Fall | 3 | 0 | 3 | 8 |
| Language of instruction: | English |
| Type of course: | Must Course |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | |
| Course Lecturer(s): |
Assoc. Prof. SEROL BULKAN Dr. Öğr. Üyesi YÜCEL BATU SALMAN |
| Recommended Optional Program Components: | N.A. |
| Course Objectives: | This course aims to introduce students modeling of linear and integer programs, network flow problems and nonlinear programs; to use the simplex algorithm for solving liner programming problems, branch&bound for solving integer programming problems and some solution algorithms for network flow problems; to understand important modeling techniques and solution algorithms; to get insights about graph theory and its applications; and to identify the types of problems and their solution algorithms. |
|
The students who have succeeded in this course; I. Formulate large-scale problems as an LP, IP or NLP. II. Identify the type of problems such as linear, integer and nonlinear problems. III. Analyze the algorithms such as simplex and branch and bound. IV. Formulate network flow problems and to solve using specially structured algorithms. |
| This course emphasizes modeling of problems as linear programs, mixed integer linear programs, nonlinear programs and network flow programs. In the second half of the course some basic solution algorithms such as simplex and branch and bound, and some network flow programming algorithms are covered. |
| Week | Subject | Related Preparation |
| 1) | Linear programming models I | |
| 2) | Linear programming models II | |
| 3) | Graphical solution approach and Introduction to Simplex Algorithm | |
| 4) | Simplex Algorithm | |
| 5) | Integer programming models I | |
| 6) | Integer programming models II | |
| 7) | Branch and Bound Algorithm | |
| 8) | Midterm 1 | |
| 9) | Nonlinear programming models | |
| 10) | Network flow programming models I | |
| 11) | Network flow programming models II | |
| 12) | Network flow algorithms I | |
| 13) | Network flow algorithms II | |
| 14) | Midterm II |
| Course Notes / Textbooks: | N.A. |
| References: | Various reference books will be available at the library. |
| Semester Requirements | Number of Activities | Level of Contribution |
| Homework Assignments | 4 | % 20 |
| Midterms | 2 | % 40 |
| Final | 1 | % 40 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 60 | |
| PERCENTAGE OF FINAL WORK | % 40 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 12 | 3 | 36 |
| Study Hours Out of Class | 3 | 25 | 75 |
| Homework Assignments | 4 | 18 | 72 |
| Midterms | 2 | 3 | 6 |
| Final | 1 | 3 | 3 |
| Total Workload | 192 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Process view and analytic thinking | |
| 2) | managerial thinking with technical background | |
| 3) | To have theoretical knowledge on operations research. | |
| 4) | Awareness about the applications of operations research | |
| 5) | To have ability of selection and efficient use of modern techniques, equipments and information technologies for industrial engineering | |
| 6) | To be capable of designing and conducting experiments and collecting data, analyzing and interpreting results | |
| 7) | To have verbal and oral effective communication skills by using visual methods in Turkish and English | |
| 8) | To be aware of entrepreneurship, sustainability and innovation | |
| 9) | To lead disciplinary and multi-disciplinary teams, to develop solution approaches in complex situations, to work individually and to take responsibility. | |
| 10) | To have conscious of professional and ethical responsibility | |
| 11) | To have conscious of necessity to lifelong learning | |
| 12) | To be aware of economic and legal implications of engineering solutions | |
| 13) | Economic, social and environmental responsibility while solving management problems |