TÜRKÇE
ENGLISH
Information
| Code | IEM711 |
| Name | Operations Research I |
| Term | 2024-2025 Academic Year |
| Term | Fall and Spring |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. ERSİN KIRAL |
| Course Instructor |
Doç. Dr. ERSİN KIRAL
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The course aims to enhance problem-solving and analytical thinking skillsBy focusing on linear programming, duality, transportation models, and various solution techniques.
Course Content
The course content covers the history of operations research, examining the processes of mathematical model formulation. An introduction to linear programming is provided, focusing on solving linear programming problems using graphical and simplex methods. The concept of duality is explained, and its relationship with linear programming is evaluated. Within the scope of transportation models, the stepping-stone method and the multiplier method are analyzed to optimize transportation problems and decision-making processes.
Course Precondition
no prerequisites
Resources
Öztürk, A. (2005). Yöneylem Araştırması, Ekin Kitabevi. Onuncu Baskı, Bursa. Hillier, F. S., & Lieberman, G. J. (2015). Introduction to operations research. McGraw-Hill.
Notes
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Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains operations research techniques |
| LO02 | Produces a mathematical model of quantitative problems encountered in social sciences by using operations research methods. |
| LO03 | Solves modeled problems. |
| LO04 | Solves operations research problems with package programs |
| LO05 | Interprets the obtained solutions. |
| LO06 | Recognizes linear programming solution algorithms. |
| LO07 | Gains skills in model formulation |
| LO08 | Transform complex problems into mathematical problems |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explains contemporary concepts about Econometrics, Statistics, and Operation Research | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Explains relationships between acquired knowledge about Econometrics, Statistics, and Operation Research | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Explains how to apply acquired knowledge in the field to Economics, Business, and other social sciences | 5 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Performs conceptual analysis to develop solutions to problems | 3 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Models problems with Mathematics, Statistics, and Econometrics | 3 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Interprets the results obtained from the most appropriate method to predict the model | 5 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Synthesizes the information obtained by using different sources within the framework of academic rules in a field of research | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Uses acquired knowledge in the field to determine the vision, aim, and goals for an organization/institution | |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Searches for new approaches and methods to solve problems being faced | 5 |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Presents analysis results conveniently | 4 |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Collects/analyzes data in a purposeful way | 3 |
| PLO12 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Converts its findings into a master's thesis or a professional report in Turkish or a foreign language | 3 |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Develops solutions for organizations using Econometrics, Statistics, and Operation Research | 3 |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | Uses a package program/writes a new code for Econometrics, Statistics, and Operation Research | 2 |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Performs an individual work to solve a problem with Econometrics, Statistics, and Operation Research | 5 |
| PLO16 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Leads by taking responsibility individually and/or within the team | |
| PLO17 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in the field of study | 3 |
| PLO18 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Interprets the feelings, thoughts and behaviors of the related persons correctly/expresses himself/herself correctly in written and verbal form | |
| PLO19 | Yetkinlikler - Alana Özgü Yetkinlik | Interprets data on economic and social events by following current issues | 3 |
| PLO20 | Yetkinlikler - Alana Özgü Yetkinlik | Applies social, scientific and professional ethical values | 5 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | The structure of decision problems, problem identification and model buildingc | Reading | Öğretim Yöntemleri: Anlatım, Tartışma |
| 2 | Introduction to linear programming and the graphical solution method | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Solution of linear programming problems with Simplex method (I) | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Solution of linear programming problems with Simplex method (II) | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | The realization of duality and sensitivity analysis after the optimal solution | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Computer application (the solution of linear programming and sensitivity analysis) | Reading | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 7 | Integer programming: Gomory cutting plane method and Branch and bound method | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Transportation models and solution algorithms | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Assignment models and solution algorithms | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Transshipment models and solution algorithms | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Network analysis; creation and solution of network models | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Network analysis; CPM method | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Network analysis; PERT method | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Time-cost relationship in the planning of the project and acceleration of the project | Reading | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 16 | Term Exams | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Term Exams | 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 | 8 | 8 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 150 | ||
| Total Workload / 25 (h) | 6,00 | ||
| ECTS | 6 ECTS | ||