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Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
OPTIMIZATION TECHNIQUES IN ENGINEERING EEM 505 0 3 + 0 3 6
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Yüksek Lisans
Dersin Türü ZORUNLU
Dersin Koordinatörü Dr.Öğr.Üyesi GÖKÇEN ÇETİNEL
Dersi Verenler Doç.Dr. İRFAN YAZICI
Dersin Yardımcıları
Dersin Kategorisi Alanına Uygun Temel Öğretim
Dersin Amacı

To understand basic linear and nonlinear optimisation techniques
To formulize optimisation problems correctly
To apply optimisation techniques to the enginerring problems
To solve complicated engineering problems with learned optimisation techniques

Dersin İçeriği

Week 1:  Introduction to Optimization: Statement of an Optimization Problem, Classification of Optimization Methods, Optimization Techniques.

 

Week 2: Background (Minimum and Maximum points of functions, convex and concave functions)

 

Week 3: Classical Optimization Techniques I: Single Variable Optimization, Multivariate Optimization with no Constraints.

 

Week 4: Classical Optimization Techniques II: Multivariate Optimization with Equality Constraints, Direct Substitution, Constrained Variation, Lagrange Multipliers.

 

Week 5: Classical Optimization Techniques III: Multivariate Optimization with Inequality Constraints, Kuhn-Tucker Conditions, Constraint Qualification, Convex Programming Problem.

 

Week 6: Linear Programming I: Applications of LP, Standard form of LP, Pivotal Reduction.

 

Week 7: Linear Programming II: Simplex Algorithm.

 

Week 8: Identifying an Optimal Point, İmproving a Non-optimal Basic Feasible Solution, Two Phases of Simplex Method.

 

Week 9: Nonlinear Programming I: One Dimensional Minimization Methods, Elimination Methods, Comparison of Methods.

 

Week 10: Nonlinear Programming II: Interpolation Methods, Direct Root Methods.

 

Week 11: Nonlinear Programming III: Unconstraint Optimization Techniques, Rate of Convergence, Scaling of Design Variables.

 

Week 12: Direct Search Methods

 

Week 13: Indirect Search Methods

 

Week 14: Final Projects. 

Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 - 1 - 4 - 9 - 15 - A - C - D -
2 - 1 - 4 - 9 - 15 - A - C - D -
3 - 1 - 4 - 9 - 15 - 16 - A - C - D -
4 - 1 - 4 - 9 - 14 - 16 - A - C - D -
5 - 1 - 4 - 9 - 15 - 16 - A - C - D -
Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice 9:Simulation 15:Problem Solving 16:Project Based Learning 14:Self Study
Ölçme Yöntemleri: A:Testing C:Homework D:Project / Design

Ders Akışı

Hafta Konular ÖnHazırlık
1
2
3
4
5
6
7
8
9
10
11
12
13
14

Kaynaklar

Ders Notu

Powerpoint presentations, lecture notes and books. 

Ders Kaynakları

1. Introduction to Optimization, P. Pedregal, Springer, 2003.
2. Numerical Optimization, J. Nocedal, S. J. Wright, Springer, 2nd Edition,2006.
3. Engineering Optimization Theory and Practice, S. S. Rao, Wiley, 4th Edition, 2009.


Döküman Paylaşımı


Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Ability; to Access to wide and deep information with scientific researches in the field of Engineering, evaluate, interpret knowledge and implement. X
2 Ability; To complete and implement “Limited or incomplete data” by using the scientific methods. To stick knowledge of different disciplinarians together. X
3 Ability; to consolidate engineering problems, develop proper method to solve and apply innovative solutions. X
4 Ability; To develop new and original ideas and methods, To develop new innovative solutions at design of system, component or process
5 Comprehensive information on modern techniques, methods and their borders which are being applied to engineering. X
6 Ability; to design and apply analytical, modeling and experimental based research, analyze and interpret the faced complex issues during the design and apply process. X
7 High level ability to define the required information, data and reach, assess. X
8 Ability; To lead multi-disciplinary teams To take responsibility to define approaches for complex situations.
9 Systematic and clear verbal or written transfer of the process and results of studies at national and international environments
10 Social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, announcement.
11 Awareness at new and developing application of profession and ability to analyze and study on those applications.
12 Ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment.

Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 40
KisaSinav 1 10
Odev 1 10
Odev 2 10
PerformansGoreviSeminer 1 30
Toplam 100
Yıliçinin Başarıya Oranı 60
Finalin Başarıya Oranı 40
Toplam 100

AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 2 2
Quiz 1 2 2
Assignment 2 10 20
Project / Design 1 20 20
Final examination 1 2 2
Toplam İş Yükü 142
Toplam İş Yükü /25(s) 5.68
Dersin AKTS Kredisi 5.68
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