Course Name | Optimization III |
Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
---|---|---|---|---|---|
IE 353 | Fall | 2 | 2 | 3 | 8 |
Prerequisites |
| ||||||||||||||
Course Language | English | ||||||||||||||
Course Type | Required | ||||||||||||||
Course Level | First Cycle | ||||||||||||||
Mode of Delivery | face to face | ||||||||||||||
Teaching Methods and Techniques of the Course | Problem SolvingLecturing / Presentation | ||||||||||||||
Course Coordinator | |||||||||||||||
Course Lecturer(s) | |||||||||||||||
Assistant(s) |
Course Objectives | Most systems and processes of organizations operating in almost all kinds of sectors (private/public, service/manufacturing etc.) are stochastic in nature. The objective of this course is to give the students the analytical skills and knowledge related to stochastic processes and models necessary to improve the systems and processes used in varying organizations. |
Learning Outcomes | The students who succeeded in this course;
|
Course Description | The main subjects of the course are the stochastic processes and their special kind called Markov chains, queueing theory, inventory theory and also possible real life applications. |
Related Sustainable Development Goals | |
| Core Courses | |
Major Area Courses | X | |
Supportive Courses | ||
Media and Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
1 | Review of probability and Conditional Probability | Ross, Ch. 1 |
2 | Discrete, Continuous Random Variables | Ross, Ch. 2 |
3 | Expected Value, Conditional Probability and Expectation | Ross, Ch. 3 |
4 | Stochastic Processes and Markov Chains | Winston, Ch. 17, Hillier & Lieberman Ch. 16, |
5 | Markov Chains | Winston, Ch. 17, Hillier & Lieberman Ch. 16 |
6 | Markov Chains | Winston, Ch. 17, Hillier & Lieberman Ch. 16 |
7 | Markov Chains | Winston, Ch. 17, Hillier & Lieberman Ch. 16 |
8 | Markov Decision Processes | Winston, Ch. 19.5, Hillier & Lieberman Ch. 19 |
9 | Continuous Time Markov Chains | Ross, Ch. 6, Hillier & Lieberman Ch. 16.8 |
10 | Queueing Theory: Terminoloji, Basic Structure | Winston, Ch. 20, Hillier & Lieberman Ch. 17 |
11 | Queueing Theory: Role of Exponential Distribution, Birth-Death Process | Winston, Ch. 20, Hillier & Lieberman Ch. 17 |
12 | Queueing Models | Winston, Ch. 20, Hillier & Lieberman Ch. 17 |
13 | Queueing Models | Winston, Ch. 20, Hillier & Lieberman Ch. 17 |
14 | Queueing Models | Winston, Ch. 20, Hillier & Lieberman Ch. 17 |
15 | Review of the semester | |
16 | Final Exam |
Course Notes/Textbooks | [1] Sheldon Ross, Introduction to Probability Models, 12th edition, Academic Press, 2019.ISBN: 978-0-12-814346-9. [2] Wayne L. Winston, Operations Research: Applications and Algorithms, (International Student Edition), 4th edition, Brooks/Cole, 2004. ISBN: 0-534-42362-0 [3] Frederick S. Hillier, Gerald J. Lieberman, Introduction to Operations Research, Tenth Edition, 2010 Mc GrawHill, ISBN: 9780071267670 |
Suggested Readings/Materials | [4] Sheldon Ross. A First Course in Probability. 5th Ed., Prentice Hall, Ltd., 1997. [5] D. C. Montgomery and G. C. Runger. Applied Statistics and Probability for Engineers. 3th Edition, John Wiley & Sons, Inc., 2003. [6] Hwei Hu. Probability, Random Variables, and Random Processes. 2nd Edition, Schaum's Outlines, McGraw-Hill, 2010. |
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | 1 | 15 |
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury | ||
Project | 1 | 15 |
Seminar / Workshop | ||
Oral Exam | ||
Midterm | 1 | 30 |
Final Exam | 1 | 40 |
Total |
Weighting of Semester Activities on the Final Grade | 3 | 60 |
Weighting of End-of-Semester Activities on the Final Grade | 1 | 40 |
Total |
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Course Hours (Including exam week: 16 x total hours) | 16 | 2 | 32 |
Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | 2 | |
Study Hours Out of Class | 14 | 5 | 70 |
Field Work | |||
Quizzes / Studio Critiques | 1 | 20 | |
Portfolio | |||
Homework / Assignments | |||
Presentation / Jury | |||
Project | 1 | 20 | |
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 30 | |
Final Exams | 1 | 36 | |
Total | 240 |
# | Program Competencies/Outcomes | * Contribution Level | ||||
1 | 2 | 3 | 4 | 5 | ||
1 | To have adequate knowledge in Mathematics, Science and Industrial Engineering; to be able to use theoretical and applied information in these areas to model and solve Industrial Engineering problems. | X | ||||
2 | To be able to identify, formulate and solve complex Industrial Engineering problems by using state-of-the-art methods, techniques and equipment; to be able to select and apply proper analysis and modeling methods for this purpose. | X | ||||
3 | To be able to analyze a complex system, process, device or product, and to design with realistic limitations to meet the requirements using modern design techniques. | |||||
4 | To be able to choose and use the required modern techniques and tools for Industrial Engineering applications; to be able to use information technologies efficiently. | X | ||||
5 | To be able to design and do simulation and/or experiment, collect and analyze data and interpret the results for investigating Industrial Engineering problems and Industrial Engineering related research areas. | X | ||||
6 | To be able to work efficiently in Industrial Engineering disciplinary and multidisciplinary teams; to be able to work individually. | |||||
7 | To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively; to be able to give and receive clear and comprehensible instructions | |||||
8 | To have knowledge about contemporary issues and the global and societal effects of Industrial Engineering practices on health, environment, and safety; to be aware of the legal consequences of Industrial Engineering solutions. | |||||
9 | To be aware of professional and ethical responsibility; to have knowledge of the standards used in Industrial Engineering practice. | |||||
10 | To have knowledge about business life practices such as project management, risk management, and change management; to be aware of entrepreneurship and innovation; to have knowledge about sustainable development. | |||||
11 | To be able to collect data in the area of Industrial Engineering; to be able to communicate with colleagues in a foreign language. | |||||
12 | To be able to speak a second foreign at a medium level of fluency efficiently. | |||||
13 | To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Industrial Engineering. | X |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest