TÜRKÇE
ENGLISH
Information
| Code | ISB221 |
| Name | Optimization Techniques - I |
| Term | 2024-2025 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. NİMET ÖZBAY |
| Course Instructor |
1 2 |
Course Goal / Objective
The aim of this course is to develop and solve a model for linear programming problems, to learn and solve transportation problems
Course Content
The content of this course consists of the topics of Definitions related to the Linear Programming Problem, Examples related to the Linear Programming Problem and Developing the Model, Hyperplanes, Convex Sets, Linear Functions on Convex Sets, Graphical Solution Method, Gauss Jordan Elimination, Linear Programming Problems in Canonical Form, Analytical Solution Method, The Simplex Method, Two Phase Method, Big M Method, Duality, Transportation Problems and Solution Methods
Course Precondition
None
Resources
-Elementary Linear Programing With Applications, Bernard Kolman and Robert E. Beck, Academic Press, 1980. -Doğrusal Programlama, Prof. Dr. İmdat Kara, Bilim Teknik Yayınevi, 1991. -Yöneylem Araştırması, Hamdy A. Taha (Çevirenler : Ş. Alp Baray-Şakir Esnaf), Literatür Yayıncılık, 2000. -Optimizasyon Teknikleri, Hasan Bal, Gazi Üniversitesi Yayınları, 1995. -İşletmede Sayısal Yöntemler ve Winqsb Uygulamaları, Prof. Dr. İsmail Erdem, Seçkin Yayıncılık, 2017.
Notes
-Optimizasyon, Ayşen Apaydın, A.Ü.F.F. Dön. Ser. Yayınları, 1996.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Describes the properties of the linear programming problem |
| LO02 | Builds the linear programming model, solves this problem by graphical and analytical methods |
| LO03 | Uses the simplex solution method |
| LO04 | Distinguish the difference between the simplex and two phase methods |
| LO05 | Uses the two phase method |
| LO06 | Uses the Big M method |
| LO07 | Write dual of the linear programming model |
| LO08 | Solves balanced and unbalanced transportation models |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explain the essence fundamentals and concepts in the field of Statistics | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Emphasize the importance of Statistics in life | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Define basic principles and concepts in the field of Law and Economics | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Produce numeric and statistical solutions in order to overcome the problems | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Use proper methods and techniques to gather and/or to arrange the data | 2 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Utilize computer programs and builds models, solves problems, does analyses and comments about problems concerning randomization | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Apply the statistical analyze methods | 4 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Make statistical inference (estimation, hypothesis tests etc.) | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Generate solutions for the problems in other disciplines by using statistical techniques and gain insight | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Discover the visual, database and web programming techniques and posses the ability of writing programs | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Distinguish the difference between the statistical methods | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Make oral and visual presentation for the results of statistical methods | 4 |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Have capability on effective and productive work in a group and individually | 2 |
| PLO14 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs | 2 |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Develop scientific and ethical values in the fields of statistics-and scientific data collection |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definitions related to the Linear Programming Problem, Examples related to the Linear Programming Problem and Developing the Model | Source reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | Hyperplanes, Convex Sets, Linear Functions on Convex Sets | Source reading | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 3 | Graphical Solution Method | Source reading | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 4 | Gauss Jordan Elimination, Linear Programming Problems in Canonical Form | Source reading | Öğretim Yöntemleri: Anlatım, Tartışma |
| 5 | Analytical Solution Method | Source reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Simplex Solution Method | Source reading | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 7 | Problem Solving-1 | Source reading | Öğretim Yöntemleri: Problem Çözme, Tartışma |
| 8 | Mid-Term Exam | Review the topics discussed in the lecture notes and sources | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Two Phase Method-1 | Source reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Two Phase Method-2 | Source reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Big M Method | Source reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | The Dual of the Linear Programming Model | Source reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Balanced Transportation Model and Solution Methods-1 | Source reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Unbalanced Transportation Model and Solution Methods-2 | Source reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Problem Solving-2 | Source reading | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 16 | Term Exams | Review the topics discussed in the lecture notes and sources | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review the topics discussed in the lecture notes and sources | 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 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||