DEPARTMENT OF INDUSTRIAL ENGINEERING (ENGLISH) | |||||
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Qualification Awarded | Program Süresi | Toplam Kredi (AKTS) | Öğretim Şekli | Yeterliliğin Düzeyi ve Öğrenme Alanı | |
4 | 240 | FULL TIME |
TYÇ, TR-NQF-HE, EQF-LLL, ISCED (2011):Level 6 QF-EHEA:First Cycle TR-NQF-HE, ISCED (1997-2013): 44,52 |
Course Code: | 1411002029 | ||||||||||
Ders İsmi: | Optimization Methods and Tools | ||||||||||
Ders Yarıyılı: |
Spring Fall |
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Ders Kredileri: |
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Language of instruction: | EN | ||||||||||
Ders Koşulu: | |||||||||||
Ders İş Deneyimini Gerektiriyor mu?: | No | ||||||||||
Other Recommended Topics for the Course: | None |
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Type of course: | Department Elective | ||||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||||
Course Coordinator : | Dr.Öğr.Üyesi Elif TARAKÇI | ||||||||||
Course Lecturer(s): | |||||||||||
Course Assistants: |
Course Objectives: | To create the necessary infrastructure for the students to work on advanced optimization by giving perspectives and methods to model and solve optimization problems, which are very common in real life, where it is a question of choosing the best among various alternatives. |
Course Content: | Introduction to Optimization, Convex Analysis, Optimality Conditions and Duality, Unconstrained Problems, Inequality Constrained Problems, Inequality and Equation Constrained Problems, Second Order Necessary and Sufficient Optimality Conditions for Constrained Problems, Lagrangian Duality and Saddle Point Optimality Conditions, Algorithms and Convergence in Application Fields Problems. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Introduction to Optimization | TEXT BOOK |
2) | Convex Analysis | TEXT BOOK |
3) | Convex Analysis | TEXT BOOK |
4) | Constrained Optimization: Unconstrained Optimization, Inequality Constrained Problems, Equality and Inequality Constrained Problems, Second Order Necessary and Sufficient Conditions for Unconstrained Optimization Problems | TEXT BOOK |
5) | Lagrange Dual Problem, Duality Theorems and Saddle Point Optimality Conditions | TEXT BOOK |
6) | Optimization with Numerical Methods | TEXT BOOK |
7) | Optimization with Numerical Methods | TEXT BOOK |
8) | MIDTERM | |
9) | Optimization with Numerical Methods | TEXT BOOK |
10) | Optimization with Numerical Methods | TEXT BOOK |
11) | Optimization Problems in Application Areas | TEXT BOOK |
12) | Optimization Problems in Application Areas | TEXT BOOK |
13) | Optimization Problems in Application Areas | TEXT BOOK |
14) | Optimization Problems in Application Areas | TEXT BOOK |
15) | Optimization Problems in Application Areas | TEXT BOOK |
16) | Final Exam |
Course Notes / Textbooks: | Mokhtar S. Bazaraa, Hanif D. Sherali, C. M. Shetty, Nonlinear Programming: Theory and Algorithms, John Wiley & Sons, Inc., New York, 2006. Edwin K. P. Chong and Stanislaw H. Żak, An Introduction to Optimization, Second Edition, Wiley-Interscience Series in Discrete Mathematics and Optimization, John Wiley & Sons, Inc., New York, ©2001. Wısmer, Davıd A., Introduction To Nonlinear Optimization: A Problem Solving Approach, North-Holland Publishing Company, 1978. Ronald L. Rardin, Optimization in Operations Research, Prince Hall, Inc., Upper Saddle River, NJ, 1998. Bal H., 1985, Optimizasyon Teknikleri, G. Ü. Yayını. M. Asghar Bhatti, Practical optimization methods: with Mathematica Applications, Springer, New York, ©2000. |
References: | Mokhtar S. Bazaraa, Hanif D. Sherali, C. M. Shetty, Nonlinear Programming: Theory and Algorithms, John Wiley & Sons, Inc., New York, 2006. Edwin K. P. Chong and Stanislaw H. Żak, An Introduction to Optimization, Second Edition, Wiley-Interscience Series in Discrete Mathematics and Optimization, John Wiley & Sons, Inc., New York, ©2001. Wısmer, Davıd A., Introduction To Nonlinear Optimization: A Problem Solving Approach, North-Holland Publishing Company, 1978. Ronald L. Rardin, Optimization in Operations Research, Prince Hall, Inc., Upper Saddle River, NJ, 1998. Bal H., 1985, Optimizasyon Teknikleri, G. Ü. Yayını. M. Asghar Bhatti, Practical optimization methods: with Mathematica Applications, Springer, New York, ©2000. |
Ders Öğrenme Kazanımları | 1 |
2 |
3 |
4 |
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Program Outcomes | ||||||||||||||
1) Adequate knowledge of mathematics (a), science (b) and industrial engineering (c) (1) and the ability to use this knowledge in complex engineering problems. | ||||||||||||||
2) Ability to work effectively both individually and in interdisciplinary and multidisciplinary teams. | ||||||||||||||
3) Awareness of the necessity of lifelong learning and the ability to access information, to follow developments in science and technology, and to constantly renew oneself. | ||||||||||||||
4) Knowledge of project management, risk management, innovation and change management, entrepreneurship and sustainable development | ||||||||||||||
5) Awareness of the sectors and the ability to prepare a business plan. | ||||||||||||||
6) Professional and ethical responsibility awareness and acting in accordance with ethical principles. | ||||||||||||||
7) Information about the problems of the age in the field of engineering and the effects and legal consequences of engineering practices on health, environment and safety in universal and social dimensions. | ||||||||||||||
8) Information about current engineering practices and standards used in engineering practices. | ||||||||||||||
9) The ability to identify, formulate and solve complex engineering problems, and the ability to select and apply appropriate analysis and modeling methods for this purpose. | ||||||||||||||
10) The ability to design a complex system, process, device or product using modern methods under realistic constraints and conditions and to meet specific requirements. | ||||||||||||||
11) The ability to develop, select and use modern techniques and tools necessary for the solution of engineering problems, and the ability to use information technologies effectively. | ||||||||||||||
12) Ability to design and conduct experiments, collect data, analyze data and interpret results for the study of engineering problems or research issues. | ||||||||||||||
13) Ability to communicate effectively, write reports and make presentations in Turkish and English with oral, written and visual methods. | ||||||||||||||
14) In-depth knowledge of appropriate analytical and experimental methods and computational methods for system integration such as simulation (a), production systems (b) operations research (c) and statistics (d). | ||||||||||||||
15) Skills in designing (a) and improving (b), defining goals and criteria (c), analyzing (d) and developing solutions (e) systems that include people, materials, information, equipment and energy to creatively solve real-life problems |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Adequate knowledge of mathematics (a), science (b) and industrial engineering (c) (1) and the ability to use this knowledge in complex engineering problems. | |
2) | Ability to work effectively both individually and in interdisciplinary and multidisciplinary teams. | |
3) | Awareness of the necessity of lifelong learning and the ability to access information, to follow developments in science and technology, and to constantly renew oneself. | |
4) | Knowledge of project management, risk management, innovation and change management, entrepreneurship and sustainable development | |
5) | Awareness of the sectors and the ability to prepare a business plan. | |
6) | Professional and ethical responsibility awareness and acting in accordance with ethical principles. | |
7) | Information about the problems of the age in the field of engineering and the effects and legal consequences of engineering practices on health, environment and safety in universal and social dimensions. | |
8) | Information about current engineering practices and standards used in engineering practices. | |
9) | The ability to identify, formulate and solve complex engineering problems, and the ability to select and apply appropriate analysis and modeling methods for this purpose. | |
10) | The ability to design a complex system, process, device or product using modern methods under realistic constraints and conditions and to meet specific requirements. | |
11) | The ability to develop, select and use modern techniques and tools necessary for the solution of engineering problems, and the ability to use information technologies effectively. | |
12) | Ability to design and conduct experiments, collect data, analyze data and interpret results for the study of engineering problems or research issues. | |
13) | Ability to communicate effectively, write reports and make presentations in Turkish and English with oral, written and visual methods. | |
14) | In-depth knowledge of appropriate analytical and experimental methods and computational methods for system integration such as simulation (a), production systems (b) operations research (c) and statistics (d). | |
15) | Skills in designing (a) and improving (b), defining goals and criteria (c), analyzing (d) and developing solutions (e) systems that include people, materials, information, equipment and energy to creatively solve real-life problems |
Anlatım | |
Course | |
Problem Çözme | |
Proje Hazırlama | |
Soru cevap/ Tartışma |
Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama) | |
Homework |
Semester Requirements | Number of Activities | Level of Contribution |
Homework Assignments | 1 | % 20 |
Midterms | 1 | % 40 |
Semester Final Exam | 1 | % 40 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 60 | |
PERCENTAGE OF FINAL WORK | % 40 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 2 | 28 |
Application | 14 | 2 | 28 |
Special Course Internship (Work Placement) | 14 | 5 | 70 |
Homework Assignments | 1 | 4 | 4 |
Midterms | 1 | 2 | 2 |
Final | 1 | 3 | 3 |
Total Workload | 135 |