TÜRKÇE
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Information
| Code | TS019 |
| Name | Optimization I |
| Term | 2024-2025 Academic Year |
| Term | Fall |
| 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 | |
| Course Instructor |
Prof. Dr. MAHMUT ÇETİN
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aims of the course are to formulate engineering problems by using systems approach, to interpret mathematical solutions, to chose optimal solution, and find practical solutions faced in real life and/or engineering field.
Course Content
Introduction; system concept; linear programming; geometric solution of linear programming, non-negative slack variables; Simplex algorithm of Dantzig, duality, sensitivity analysis; transportation problems
Course Precondition
In order to enroll this course, it is sufficient to be a graduate or doctoral student. There are no other prerequisites.
Resources
1. H. A. Eiselt, C. L. Sandblom, 2007. Linear Programming and its Applications. Springer 2. Bernard Kolman, Robert E. Beck, 1995. Elementary Linear Programming with Applications. Academic Press, ISBN# 012417910X, 9780124179103. 3. Tulunay, Y., 1991. Matematik Programlama ve İşletme Uygulamaları. S. 743, Bayrak Matbaacılık, İstanbul. 4. Optimization, Ankara University Open Course Portal (https://acikders.ankara.edu.tr/course/view.php?id=4261)
Notes
Selected articles from national and international journals. https://acikders.ankara.edu.tr/course/view.php?id=4261
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Learns system concept. |
| LO02 | Helps students increase their ability to formulate mathematically simple or plain sentences. |
| LO03 | Learns optimization concept and problem solving. |
| LO04 | Interprets linear programming problem solutions by obtaining the optimal solution from an infinite number of solutions. |
| LO05 | Contributes to the rational use of natural resources from linear programming problem solutions. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has the ability to develop and deepen the level of expertise degree qualifications based on the knowledge acquired in the field of agriculture and irrigation structures | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has the ability to understand the interaction between irrigation and agricultural structures and related disciplines | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Qualified in devising projects in agricultural structures and irrigation systems. | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Conducts land applications,supervises them and assures of development | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Has the ability to support his specilist knowledge with qualitative and quantitative data. Can work in different disciplines. | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Solves problems by establishing cause and effect relationship | 5 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Has the ability to apply theoretical and practical knowledge in the field of agricultural structures and irrigation department | 4 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Able to carry out a study independently on a subject. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Has the ability to design and apply analytical, modelling and experimental researches, to analyze and interpret complex issues occuring in these processes. | 5 |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Can access resources on his speciality, makes good use of them and updates his knowledge constantly. | |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Has the ability to use computer software in agricultural structures and irrigation; can use informatics and communications technology at an advanced level. | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to Linear Programming and System Concept | Textbooks, articles and Internet resources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 2 | Basit Doğrusal Programlama Problemleri | Textbooks, articles, Internet resources, supplemental documents | Öğretim Yöntemleri: Anlatım, Tartışma |
| 3 | Matrices, Linear Algebra and Linear Programming | Textbooks, articles and Internet resources | Öğretim Yöntemleri: Anlatım, Tartışma, Beyin Fırtınası |
| 4 | Solution with Graph Method, Basic Concepts: Convex Sets | Textbooks, articles and Internet resources | Öğretim Yöntemleri: Anlatım, Tartışma, Soru-Cevap |
| 5 | Convex and Concave functions, Endpoints | Textbooks, articles, Internet resources, supplemental documents | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 6 | Simplex Method, Table Form | Textbooks, articles, Internet resources, supplemental documents | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 7 | Degeneration, Convergence of Simplex Method | Textbooks, articles and Internet resources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 8 | Mid-Term Exam | Textbooks, articles, Internet resources, supplemental documents | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Artificial Variables, 2-Phase Simplex Algorithm, Big M Method | Textbooks, articles and Internet resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 10 | Some Outliers; Limitless, endless solutions | Textbooks, articles and Internet resources | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 11 | Reorganized Simplex Method | Textbooks, articles, Internet resources, supplemental documents | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 12 | Duality Theory | Textbooks, articles, Internet resources, supplemental documents | Öğretim Yöntemleri: Anlatım, Tartışma, Soru-Cevap |
| 13 | Dual Simplex Algorithm | Textbooks, articles and Internet resources | Öğretim Yöntemleri: Anlatım, Tartışma, Örnek Olay |
| 14 | Computer Solution of Linear Programming Models | Textbooks, articles and Internet resources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 15 | Computer Solution of Linear Programming Models: An application to agriculture and water resources | Textbooks, articles, Internet resources, supplemental documents | Öğretim Yöntemleri: Alıştırma ve Uygulama, Benzetim |
| 16 | Term Exams | Textbooks, articles, Internet resources, supplemental documents | Ölçme Yöntemleri: Yazılı Sınav, Proje / Tasarım |
| 17 | Term Exams | Textbooks, articles, Internet resources, supplemental documents | Ölçme Yöntemleri: Yazılı Sınav, Proje / Tasarım |
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 | ||