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Information
| Code | EM537 |
| Name | Operations Research Modeling and Applications |
| Term | 2024-2025 Academic Year |
| Semester | . Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Doktora Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ KOKANGÜL |
Course Goal / Objective
It is aimed to provide detailed information on operation research techniques and ability to apply these techniques using LINDO package program
Course Content
Modeling: Physical models, mathematical models, etc.; the classification of operations research techniques, components of mathematical models: the decision variables, objective function and constraints; global and local solutions; optimization steps; verbal and mathematical expression of real-life optimization problems; graphical methods; linear programming, nonlinear programming, duality and sensitivity analysis; optimization computer package programs that are being used, the solution of mathematical models using LINGO package program, applications of linear and nonlinear programming, Project presentations. Construction mathematical models of real-life problems, selecting the most appropriate optimization method to the constructed mathematical model and driving the solutions from the model using computer optimization programs such as LINGO
Course Precondition
The course has no prerequisites
Resources
INTRODUCTION TO OPERATIONS RESEARCH, SEVENTH EDITION, Hillier/ Lieberman
Notes
Operations Research. Murthy, P.R.Yok
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Learns to construct mathematical models of real-life problems |
| LO02 | Select the most appropriate optimization method |
| LO03 | Testing the validity of the model |
| LO04 | Developing the ability to derive solutions |
| LO05 | To gain application ability |
| LO06 | Ability to use LINGO package program |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Conducts scientific research in industrial engineering, understands, interprets and applies knowledge in his/her field domain both in-depth and in-breadth. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Keeps up with the recent changes and applications in the field of Industrial Engineering and examines and learns these innovations when necessary. | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Acquires detailed knowledge for methods and tools of industrial engineering and their limitations. | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Identifies, gathers and uses necessary information and data. | 4 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Develops original definitions that will provide innovation to the field at the level of expertise for current and advanced information in the field based on graduate qualifications. | 3 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Designs and performs analytical modeling and experimental research and analyze/solves complex matters emerged in this process. | 5 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Has the ability to develop/propose new and/or original ideas and methods, propose new solutions for designing systems, components or processes. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Designs Industrial Engineering problems, develops new methods to solve the problems and applies them. | 4 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Works in multi-disciplinary teams, take a leading role and responsibility and develop solutions for complex problems. | 4 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Completes and applies the knowledge by using limited resources in scientific methods and integrates the knowledge in the field with the knowledge form various disciplines. | 3 |
| PLO11 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses a foreign language in verbal and written communication at least B2 level of European Language Portfolio. | |
| PLO12 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Presents his/her research findings systematically and clearly in oral or written forms in national and international platforms. | 2 |
| PLO13 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Understands social and environmental implications of engineering practice. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Considers social, scientific and ethical values in data collection, interpretation and announcement processes and professional activities. | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Modelling: Physical models, mathematical models, and so on. | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 2 | The classification of operations research techniques | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 3 | Components of mathematical models: the decision variables, objective function and constraints | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 4 | Global and local solutions in optimization | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 5 | Examination of optimization stages | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | Verbal and mathematical expression of real-life optimization problems | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 7 | Solution of the established optimization models with graphical method | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 8 | Mid-Term Exam | Preparation for the exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Linear programming and its applications | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 10 | Nonlinear programming and its applications | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 11 | Duality and sensitivity analysis | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | Computer package programs that are being used | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 13 | The solution of mathematical models using LINGO package program | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 14 | Evaluation of project presentations I | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 15 | Evaluation of project presentations II | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 16 | Term Exams | Preparation for the exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Preparation for the 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 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||