| Course Type | Elective Course |
|---|
| Course Level | Doctorate Of Science |
|---|
| Year of Study | - |
|---|
| Semester | - |
|---|
| ECTS | 10 |
|---|
| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Learning the basics of the theory of Markov chains
- Learning the Little formulation and applications
- an ability to analyze and identify the models and the status of Markov chains
- an ability to apply the selected applications of Markov chains
- an ability to design and analysis of priority queuing systems
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | Characteristics of queuing systems, birth and death processes. Single or multi-service queuing models with or without Markov property (M/M/1, M/M/c, G/M/c, M/G/1). Steady-state analysis. The optimal control of queues. Queue Networks. The applications of queuing theory on Manufacturing and computer systems. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Classification of Queing systems |
|
2nd Week |
Markov processes into discrete and continuous time |
|
3rd Week |
Birth and death processes |
|
4th Week |
Markov M/M/k/m queing systems |
|
5th Week |
The Little's formulation |
|
6th Week |
Cumulative arrivals and service systems |
|
7th Week |
Non-Markov queing systems |
|
8th Week |
Midterm |
|
9th Week |
Semi-Markov processes |
|
10th Week |
M/G/1 system |
|
11th Week |
G/M/1 and G/G/1 systems |
|
12th Week |
Queing networks of Jackson's type |
|
13th Week |
Balance equations, Stationary distribution |
|
14th Week |
Case studies |
|
| Recommended or Required Reading | |
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
- Problem Solving
- Practice
- Presentation
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
25 |
| Assignment |
4 |
20 |
| Attendance |
1 |
10 |
| Presentation of Article |
1 |
20 |
| Total(%) |
|
75 |
| Contribution of In-term Studies to Overall Grade(%) |
|
75 |
| Contribution of Final Examination to Overall Grade(%) |
|
25 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
|
|
|
| Individual or group work |
14 |
11 |
154 |
| Preparation for Final exam |
1 |
20 |
20 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
20 |
20 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
5 |
14 |
70 |
| Total Work Load | 310 |
| Total Work Load / 30 (h) | 10.33 |
| ECTS Credit of the Course | 10 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
