| Course Name |
Optimization III
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
IE 353
|
Fall/Spring
|
2
|
2
|
3
|
8
|
| Prerequisites |
|
|||||||||||
| Course Language |
English
|
|||||||||||
| Course Type |
Service Course
|
|||||||||||
| Course Level |
First Cycle
|
|||||||||||
| Mode of Delivery | - | |||||||||||
| Teaching Methods and Techniques of the Course | - | |||||||||||
| National Occupation Classification | - | |||||||||||
| 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 | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Related Preparation |
| 1 | Review of probability | Ross, Ch. 1 |
| 2 | Conditional Probability and Random Variables | Ross, Ch. 2 |
| 3 | Discrete, Continuous Random Variables and Expected Values | 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: Terminology, 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, 10th Edition, 2010 Mc GrawHill, ISBN: 9780071267670 |
| Suggested Readings/Materials | [4] Sheldon Ross. A First Course in Probability. Fifth 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 |
-
|
|
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury |
1
|
10
|
| Project |
1
|
15
|
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
30
|
| Final Exam |
1
|
45
|
| Total |
| Weighting of Semester Activities on the Final Grade |
2
|
60
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
40
|
| Total |
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
2
|
32
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
2
|
32
|
| Study Hours Out of Class |
14
|
5
|
70
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
-
|
0
|
|
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
1
|
20
|
20
|
| Project |
1
|
30
|
30
|
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
20
|
20
|
| Final Exam |
1
|
36
|
36
|
| Total |
240
|
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
|||||
|
1
|
2
|
3
|
4
|
5
|
|||
| 1 |
Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computer computation, and topics specific to related engineering disciplines; the ability to use this knowledge in solving complex engineering problems |
-
|
-
|
-
|
-
|
-
|
|
| 2 |
Problem Analysis: The ability to define, formulate, and analyze complex engineering problems by using fundamental science, mathematics, and engineering knowledge, while considering the relevant UN Sustainable Development Goals (SDGs) related to the problem. |
-
|
-
|
-
|
-
|
-
|
|
| 3 |
Engineering Design: The ability to design creative solutions to complex engineering problems; the ability to design complex systems, processes, devices, or products that meet present and future requirements, considering realistic constraints and conditions. |
-
|
-
|
-
|
-
|
-
|
|
| 4 |
Use of Techniques and Tools: The ability to select and use appropriate techniques, resources, and modern engineering and information technology tools, including prediction and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations |
-
|
-
|
-
|
-
|
-
|
|
| 5 |
Research and Investigation: The ability to use research methods, including literature review, designing experiments, conducting experiments, collecting data, analyzing and interpreting results, for the investigation of complex engineering problems. |
-
|
-
|
-
|
-
|
-
|
|
| 6 |
Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, the economy, sustainability, and the environment within the scope of the UN Sustainable Development Goals (SDGs); awareness of the legal consequences of engineering solutions |
-
|
-
|
-
|
-
|
-
|
|
| 7 |
Ethical Behavior: Acting in accordance with the principles of the engineering profession; knowledge of ethical responsibility; awareness of acting impartially and inclusively, without discrimination in any matter. (FENG101) |
-
|
-
|
-
|
-
|
-
|
|
| 8 |
Individual and Team Work: The ability to work effectively as an individual and as a member or leader of both intra-disciplinary and interdisciplinary teams (whether face-to-face, remote, or hybrid). |
-
|
-
|
-
|
-
|
-
|
|
| 9 |
Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession), particularly in technical matters. |
-
|
-
|
-
|
-
|
-
|
|
| 10 |
Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation. |
-
|
-
|
-
|
-
|
-
|
|
| 11 |
Lifelong Learning: The ability to learn independently and continuously, adapt to new and emerging technologies, and think critically about technological changes. |
-
|
-
|
-
|
-
|
-
|
|
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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