TS540 Optimization II

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code TS540
Name Optimization II
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


Course Goal / Objective

Primary objectives of this course are to: 1) put into make advanced linear models and their applications, 2) introduce LP Package programs, 3) interpret the results of different optimization techniques, 4) apply some optimization methods and algorithms selected in accordance with the needs of the students to the problems in daily life.

Course Content

Introduction; system concept; linear programming; geometric solution of linear programming, non-negative slack variables; dummy variables; Simplex algorithm of Dantzig, duality, sensitivity analysis; transportation problems

Course Precondition

In order to take this course, it is sufficient to be a graduate or doctoral student. However; Students who have prior knowledge about matrices, finding the minimum and maximum of functions can understand this lesson more easily and can be more successful than the others.

Resources

1. Taha, H. A., 2017. Operations Research - An Introduction. Tenth Edition (Global Edition), Pearson Education Limited. 2. Aladağ, Z., 2016. Yöneylem Araştırması. Umuttepe Yayınları, ISBN NO: 9786055100803. 3. Apaydın, A., 2005. Optimizasyon. Kılavuz Kitabevi, 4. Azimli, A., 2011. Matematiksel Optimizasyon. Papatya Yayıncılık Eğitim. 5. Bal, H., 1995. Optimizasyon Teknikleri. Gazi Üniversitesi Yayınları. 6. Bazaraa, M.S., Jarvis, J.J., Sherall, H. D., 1990. Linear Programming and Network Flows. John Wiley and Sons (2nd Edition) 7. Taha, H.A., 2003. Yöneylem Araştırması. Literatür Yayıncılık (6. Basımdan Çeviri) 8. Tecim, V., 2011. Yöneylem Araştırması. Lord Matbaacılık. 9. Winston, W. L., 2004. Operations Research Applications and Algorithms. Thomson Learning (Fourth Edition).

Notes

Selected articles from national and international journals.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Learns system concept.
LO02 Solves a given set of simple optimization equations graphically.
LO03 Helps students increase their ability to formulate problems mathematically.
LO04 Interprets the unique and infinitely optimal solutions of an optimization problem.
LO05 Allocates optimally the resources to the sectors by applying optimization techniques to practice.
LO06 Gains the ability to interpret the meaning of maximization and minimization problems in terms of buyers and sellers.


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 3
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. 2
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.
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 optimization techniques Textbooks, articles and Internet resources Öğretim Yöntemleri:
Anlatım, Tartışma
2 System and system concept, some examples Textbooks, articles and Internet resources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Beyin Fırtınası
3 Introduction to linear programming; matrices and basic properties of matrices Textbooks, articles and Internet resources Öğretim Yöntemleri:
Anlatım, Problem Çözme, Beyin Fırtınası
4 Basics/fundamentals of linear programming, mathematical forms Textbooks, articles and Internet resources Öğretim Yöntemleri:
Anlatım, Tartışma, Gösterip Yaptırma
5 Geometric solution of linear programming problems Textbooks, articles and Internet resources; some open source programs Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
6 Geometric solution of linear programming (Continued): Single/unique optimal solution and infinitely optimal solution spaces Textbooks, articles and Internet resources; some open source programs Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Benzetim
7 Slack variables and their importance - Adding/Inserting to the system of equations Textbooks, articles and Internet resources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Beyin Fırtınası
8 Mid-Term Exam Textbooks, articles, Internet resources, supplemental documents Ölçme Yöntemleri:
Yazılı Sınav, Proje / Tasarım
9 Basic definitions and simplex based solution methods Textbooks, articles and Internet resources; some open source programs Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
10 Problem formulation related to agriculture, environment, water resources, etc. and solutions Textbooks and scientific articles Öğretim Yöntemleri:
Alıştırma ve Uygulama, Gösterip Yaptırma, Tartışma
11 Duality (optimization) Textbooks, articles and Internet resources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
12 Sensitivity analysis Textbooks, articles and Internet resources; some open source programs Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Soru-Cevap, Tartışma
13 Transportation problems Textbooks, articles and Internet resources; some open source programs Öğretim Yöntemleri:
Anlatım, Benzetim, Problem Çözme, Beyin Fırtınası
14 Solving Nonlinear Equations o Newton-Raphson Method Textbooks, articles and Internet resources; some open source programs Öğretim Yöntemleri:
Anlatım, Benzetim, Gösterip Yaptırma
15 Solution of Equality Constrained Multivariate Optimization Problems o Lagrangian Method Textbooks, articles and Internet resources; some open source programs Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Tartışma
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

Update Time: 13.05.2024 02:32