TÜRKÇE
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Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM301 |
| Name | Mathematical Programming |
| Term | 2025-2026 Academic Year |
| Semester | 5. Semester |
| Duration (T+A) | 2-1 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 2.5 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. MELİK KOYUNCU |
| Course Instructor |
The current term course schedule has not been prepared yet. Previous term groups and teaching staff are shown.
|
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 | Acquires sufficient knowledge in mathematics, science and Industrial Engineering discipline-specific subjects; acquires the ability to use theoretical and applied knowledge in these fields in complex engineering problems. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquires the ability to identify, define, formulate and analytically solve complex Industrial Engineering problems; and has the ability to select and apply appropriate analysis and modelling methods for this purpose. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Acquires the ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; acquires the ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Acquires the ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Industrial Engineering applications and acquires the ability to use information technologies effectively. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Acquire the skills to design and conduct experiments, collect data, analyze and interpret results to investigate complex Industrial 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, both verbally and in writing; knowledge of at least one foreign language; ability to write and understand effective reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | They have awareness of the necessity of lifelong learning; they have the ability to access information, follow developments in science and technology, and constantly renew themselves. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acting in accordance with ethical principles, becoming knowledgeable about the standards used in engineering practices with awareness of professional and ethical responsibility. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Learn about business practices such as project management, risk management and change management, and is aware of entrepreneurship and innovation. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Informed about the universal and societal impacts of engineering practices on health, environment and safety, and the contemporary problems reflected in the field of engineering, and is aware of the legal consequences of engineering solutions. | 2 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Benefit from the power of effective communication in professional life and has the ability to interpret developments correctly. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve integrated systems that include machines, people, time, information or money. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | By applying modern design methods, they have the ability to design, develop, implement and improve complex products, processes, businesses and systems under realistic conditions and constraints such as cost, environment, sustainable development, energy, manufacturability, ethics, 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 |
Assessment (Exam) Methods and Criteria
Current term shares have not yet been determined. Shares of the previous term are shown.
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||