| Course Description |
|
| Course Name |
: |
Stochastic Processes |
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| Course Code |
: |
EM-550 |
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| Course Type |
: |
Optional |
|
| Level of Course |
: |
Second Cycle |
|
| Year of Study |
: |
1 |
|
| Course Semester |
: |
Spring (16 Weeks) |
|
| ECTS |
: |
6 |
|
| Name of Lecturer(s) |
: |
Instructor MELİK KOYUNCU
|
|
| Learning Outcomes of the Course |
: |
Gains the knowledge about basic statistical concepts
Gains the knowledge about Markov processes
Gains the knowledge about queing systems
Analyzes some operations systems by queuing theory
Gains the knowledge about queing networks
|
|
| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
|
| Recommended Optional Programme Components |
: |
None |
|
| Aim(s) of Course |
: |
This course aims to analyze the modern operations systems using basic statistical concepts, Markov processes and queing theory knowledge. |
|
| Course Contents |
: |
Basic terms and concepts, Descriptive and Inferential Statistics, Continuous distributions, Introductipn to Markov processes, one-step transition matrix and analyzing steady state probabilities, Implementation of Markov process, M/M1queing models, non-exponential queing models, queing networks. |
|
| Language of Instruction |
: |
Turkish |
|
| Work Place |
: |
Class room |
|
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Basic statistical concepts |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
2 |
Descriptive and Inferential statistics |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
3 |
Discrete distributions |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
4 |
Continious distributions |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
5 |
Introduction to Markov Processes |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
6 |
Calculation of one step transition matrix and steady state prpbabilities |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
7 |
Midterm exam |
|
Written exam |
|
8 |
Application area of Markov processes |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
9 |
Introduction to queuing theory |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
10 |
Birth and Death Process |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
11 |
M/M/1 queuing systems |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
12 |
M/M/s queuing systems |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
13 |
Non exponential queuing systems |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
14 |
Queuing networks |
Reading the related chapter from text books |
Power point presentation and explanation on board |
|
15 |
Project presentation |
Studying presenatation |
Student presentation |
|
16/17 |
Final exam |
|
Written exam |
|
|
| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Understand, interpret and apply knowledge in his/her field domain both in-depth and in-breadth by doing scientific research in industrial engineering. |
5 |
|
2 |
Acquire comprehensive knowledge about methods and tools of industrial engineering and their limitations. |
4 |
|
3 |
Work in multi-disciplinary teams and take a leading role and responsibility. |
4 |
|
4 |
Identify, gather and use necessary information and data. |
4 |
|
5 |
Complete and apply the knowledge by using scarce and limited resources in a scientific way and integrate the knowledge into various disciplines. |
4 |
|
6 |
Keep up with the recent changes and applications in the field of Industrial Engineering and analyze these innovations when necessary. |
4 |
|
7 |
Work in multi-disciplinary teams, take a leading role and responsibility and develop solutions for complex problems. |
5 |
|
8 |
Analyze Industrial Engineering problems, develop innovative methods to solve the problems. |
5 |
|
9 |
Have the ability to propose new and/or original ideas and methods in developing innovative solutions for designing systems, components or processes. |
3 |
|
10 |
Design and perform analytical modeling and experimental research and analyze/solve complex matters emerged in this process. |
5 |
|
11 |
Follow, study and learn new and developing applications of industrial engineering. |
4 |
|
12 |
Use a foreign language in verbal and written communication at least B2 level of European Language Portfolio. |
4 |
|
13 |
Present his/her research findings systematically and clearly in oral and written forms in national and international platforms. |
4 |
|
14 |
Understand social and environmental implications of engineering practice. |
2 |
|
15 |
Consider social, scientific and ethical values in the process of data collection, interpretation and announcement of the findings. |
5 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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