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Course Description |
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Course Name |
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Network Models in Operations Research |
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Course Code |
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EM-545 |
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Course Type |
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Optional |
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Level of Course |
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Second Cycle |
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Year of Study |
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1 |
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Course Semester |
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Fall (16 Weeks) |
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ECTS |
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6 |
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Name of Lecturer(s) |
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Prof.Dr. RIZVAN EROL |
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Learning Outcomes of the Course |
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Develops a network representation of an operations research problem. Selects and/or develops a suitable network solution algorithm for a problem. Evaluates the computational complexity of the network flow problems.
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Mode of Delivery |
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Face-to-Face |
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Prerequisites and Co-Prerequisites |
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None |
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Recommended Optional Programme Components |
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None |
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Aim(s) of Course |
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This course aims to study basic network optimization problems and algorithms along with applications in transportation, logistics, manufacturing, computer science, project management, and finance. |
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Course Contents |
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Network flow problems, Transportation and assignment problems, Shortest path problem, Maximum flow problem, Minimum cost flows, Network simplex method, Multicommodity flow problems, Generalized networks, Special purpose algorithms, Advanced computational techniques. |
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Language of Instruction |
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English |
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Work Place |
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seminar room |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Introduction.
Paths, Trees and Cycles. |
reading the related textbook chapter |
lecturing, discussion |
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2 |
Algorithm Design and Analysis. |
reading the related textbook chapter |
lecturing, discussion |
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3 |
Shortest Paths: Label Setting Algorithms, Label Correcting Algorithms. |
reading the related textbook chapter |
lecturing, discussion |
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4 |
Maximum Flows: Basic Ideasi Polynomial Algorithms. |
reading the related textbook chapter |
lecturing, discussion |
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5 |
Minimum Cost Flows: Basic Algorithms. |
reading the related textbook chapter |
lecturing, discussion |
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6 |
Minimum Cost Flows: Polynomial Algorithms.
Minimum Cost Flows: Network Simplex Algorithms. |
reading the related textbook chapter |
lecturing, discussion |
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7 |
Assignments and Matchings |
reading the related textbook chapter |
lecturing, discussion |
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8 |
Minimum Spanning Trees. |
reading the related textbook chapter |
lecturing, discussion |
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9 |
Midterm Exam |
prepare for the exam |
written exam |
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10 |
Convex Cost Flows. |
reading the related textbook chapter |
lecturing, discussion |
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11 |
Generalized Flows. |
reading the related textbook chapter |
lecturing, discussion |
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12 |
Lagrangian Relaxation and Network Optimization. |
reading the related textbook chapter |
lecturing, discussion |
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13 |
Multicommodity Flows. |
reading the related textbook chapter |
lecturing, discussion |
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14 |
Computational Testing of Algorithms. |
reading the related textbook chapter |
lecturing, discussion |
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15 |
Project Presentations |
prepare for the presentation |
written exam |
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16/17 |
Final Exam |
prepare for the exam |
written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
Ravindra K. AHUJA, Thomas L. MAGNANTI, James B. ORLIN, 1993, Network Flows: Theory, Algorithms, and Applications, Prentice-Hall.
Shimon EVEN, 1979, Graph Algorithms, Computer Science Press.
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
75 |
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Homeworks/Projects/Others |
5 |
25 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Understand, interpret and apply knowledge in his/her field domain both in-depth and in-breadth by doing scientific research in industrial engineering. |
3 |
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2 |
Acquire comprehensive knowledge about methods and tools of industrial engineering and their limitations. |
5 |
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3 |
Work in multi-disciplinary teams and take a leading role and responsibility. |
4 |
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4 |
Identify, gather and use necessary information and data. |
3 |
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5 |
Complete and apply the knowledge by using scarce and limited resources in a scientific way and integrate the knowledge into various disciplines. |
3 |
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6 |
Keep up with the recent changes and applications in the field of Industrial Engineering and analyze these innovations when necessary. |
4 |
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7 |
Work in multi-disciplinary teams, take a leading role and responsibility and develop solutions for complex problems. |
4 |
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8 |
Analyze Industrial Engineering problems, develop innovative methods to solve the problems. |
5 |
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9 |
Have the ability to propose new and/or original ideas and methods in developing innovative solutions for designing systems, components or processes. |
3 |
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10 |
Design and perform analytical modeling and experimental research and analyze/solve complex matters emerged in this process. |
5 |
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11 |
Follow, study and learn new and developing applications of industrial engineering. |
4 |
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12 |
Use a foreign language in verbal and written communication at least B2 level of European Language Portfolio. |
3 |
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13 |
Present his/her research findings systematically and clearly in oral and written forms in national and international platforms. |
2 |
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14 |
Understand social and environmental implications of engineering practice. |
2 |
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15 |
Consider social, scientific and ethical values in the process of data collection, interpretation and announcement of the findings. |
3 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
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Homeworks, Projects, Others |
5 |
7 |
35 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
10 |
10 |
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Final Exam |
1 |
10 |
10 |
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Total Workload: | 139 |
| Total Workload / 25 (h): | 5.56 |
| ECTS Credit: | 6 |
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