TÜRKÇE
ENGLISH
Information
| Code | ENM301 |
| Name | Mathematical Programming |
| Term | 2024-2025 Academic Year |
| Semester | 5. Semester |
| Duration (T+A) | 2-1 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. MELİK KOYUNCU |
| Course Instructor |
Doç. Dr. MELİK KOYUNCU
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To develop the operations researck skills and knowledge to delve into the mathematical modelling techniques
Course Content
To review the mathematical modelling techniques, Introduction to integer programming , The application area of integer programming, Solution methodology of integer programming ( branch and boun algorithm , additive algortihm) , Dynamic programming and its applications , The solution methodology of Dynamic progrramming , Introduction to Network models, The shortest path problem , Maximum flow problem and its applications, Minumum spanning tree problem and its applications, The network models related algorithm , Solving the some manufacturing problems by netwok models , Multiobjective optimization techniques, Introduction to goal programming , The solution methodology of goal programming
Course Precondition
None
Resources
Hillier and Lieberman. Introduction to Operations Research. 10 th Edition McGraw Hill Highered Education
Notes
Winston WAYNE. Introduction to Operations Research. 4 th Edition Thomson Publication
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Having knowledge about Linear Models |
| LO02 | Having konowledge about integer programming |
| LO03 | Having knowledge about the network analysis |
| LO04 | Having knowledge about the goal programming |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient knowledge of mathematics, science and related engineering disciplines; can use the theoretical and applied knowledge in these fields in complex engineering problems. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquire the ability to identify, define, formulate and solve complex Industrial Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; can apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Develops modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications, and has the ability to use information technologies effectively. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Have the ability to design experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Have the ability to work effectively in disciplinary and multi-disciplinary teams or individually. | 4 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Ability to communicate effectively in Turkish orally and in writing; knowledge of at least one foreign language; have the ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Have the awareness of the necessity of lifelong learning; can follow the developments in science and technology and have the ability to constantly renew themselves. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acts in accordance with ethical principles, has knowledge about the standards used in engineering applications with the awareness of professional and ethical responsibility. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Gain knowledge of business practices such as project management, risk management and change management; become aware of entrepreneurship and innovation. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Gains knowledge about the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering and has awareness of the legal consequences of engineering solutions. | 2 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | They can benefit from the power of effective communication in their professional life and have the ability to interpret developments correctly. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve integrated systems involving machine, time, information and money. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve complex products, processes, businesses, systems by applying modern design methods, under realistic conditions and constraints such as cost, environment, sustainability, manufacturability, ethical, health, safety and political issues. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | To review the mathematical modelling techniques | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 2 | Introduction to integer programming | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 3 | The application areas of integer programming | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 4 | Solution methodology of integer programming ( branch and bound algorithm , additive algortihm) | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Soru-Cevap, Alıştırma ve Uygulama, Anlatım |
| 5 | Dynamic programming and its applications | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 6 | The solution methodology of Dynamic programming | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 7 | Midterm Exam | Classical Midternl Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 8 | Network Models | Studying from text books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 9 | The shortest path problem | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 10 | Maximum flow problem and its applications | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 11 | Minumum spanning tree problem and its applications | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 12 | The network models related algorithm | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 13 | Solving the some manufacturing problems by netwok models | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 14 | Multiobjective optimization techniques | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Soru-Cevap, Anlatım, Alıştırma ve Uygulama |
| 15 | Introduction to goal programming | Standart lecture tools (Teaching on board and application) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 16 | Term Exams | Classical Final Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Classical Final Exam | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 8 | 8 |
| Total Workload (Hour) | 100 | ||
| Total Workload / 25 (h) | 4,00 | ||
| ECTS | 4 ECTS | ||