ENERGY SYSTEMS OPERATION AND TECHNOLOGY (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 | 6 |

The course opens with the approval of the Department at the beginning of each semester |

Language of instruction: | En |

Type of course: | Departmental Elective |

Course Level: | |

Mode of Delivery: | Face to face |

Course Coordinator : | Dr. Öğr. Üyesi TUĞCAN DEMİR |

Course Lecturer(s): |
Assoc. Prof. SEROL BULKAN Dr. Öğr. Üyesi YÜCEL BATU SALMAN |

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: | N.A. |

References: | Various reference books will be available at the library. |

Semester Requirements | Number of Activities | Level of Contribution |

Attendance | % 0 | |

Laboratory | % 0 | |

Application | % 0 | |

Field Work | % 0 | |

Special Course Internship (Work Placement) | % 0 | |

Quizzes | % 0 | |

Homework Assignments | 4 | % 20 |

Presentation | % 0 | |

Project | % 0 | |

Seminar | % 0 | |

Midterms | 2 | % 40 |

Preliminary Jury | % 0 | |

Final | 1 | % 40 |

Paper Submission | % 0 | |

Jury | % 0 | |

Bütünleme | % 0 | |

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 |

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 | 3 | 25 | 75 |

Presentations / Seminar | 0 | 0 | 0 |

Project | 0 | 0 | 0 |

Homework Assignments | 4 | 18 | 72 |

Quizzes | 0 | 0 | 0 |

Preliminary Jury | 0 | ||

Midterms | 2 | 3 | 6 |

Paper Submission | 0 | ||

Jury | 0 | ||

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) | Have sufficient theoretical background in mathematics, basic sciences and other related engineering areas and to be able to use this background in the field of energy systems engineering. | |

2) | Be able to identify, formulate and solve energy systems engineering-related problems by using state-of-the-art methods, techniques and equipment. | |

3) | Be able to design and do simulation and/or experiment, collect and analyze data and interpret the results. | |

4) | Be able to access information, to do research and use databases and other information sources. | |

5) | Have an aptitude, capability and inclination for life-long learning. | |

6) | Be able to take responsibility for him/herself and for colleagues and employees to solve unpredicted complex problems encountered in practice individually or as a group member. | |

7) | Develop an understanding of professional and ethical responsibility. | |

8) | Develop an ability to apply the fundamentals of engineering mathematics and sciences into the field of energy conversion. | |

9) | Develop an understanding of the obligations for implementing sustainable engineering solutions. | |

10) | Develop an ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability | |

11) | Realize all steps of a thesis or a project work, such as literature survey, method developing and implementation, classification and discussion of the results, etc. |