FACULTY OF ENGINEERING
Department of Mechatronics Engineering
IE 355 | Course Introduction and Application Information
Course Name |
Art of Mathematical Modelling
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
IE 355
|
Fall/Spring
|
2
|
2
|
3
|
6
|
Prerequisites |
|
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Course Language |
English
|
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Course Type |
Service Course
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Course Level |
First Cycle
|
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Mode of Delivery | - | |||||||
Teaching Methods and Techniques of the Course | Problem SolvingLecture / Presentation | |||||||
Course Coordinator | ||||||||
Course Lecturer(s) | ||||||||
Assistant(s) | - |
Course Objectives | The aim of this course is to teach students building mathematical models and heuristic solution algorithms of real-life problems and to enable them solving the complex problems encountered in business. |
Learning Outcomes |
The students who succeeded in this course;
|
Course Description | Topics of this course include developing mathematical models and heuristic solution algorithms for essential Industrial Systems Engineering problems. During the course, IBM ILOG OPL Development Studio will be used to code and solve mathematical models and heuristic algorithms. |
|
Core Courses | |
Major Area Courses | ||
Supportive Courses | ||
Media and Management Skills Courses | ||
Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
Week | Subjects | Related Preparation |
1 | Introduction to Mathematical Modeling and OPL | IBM ILOG CPLEX OPTIMIZATION STUDIO (OPL) Documentation version 16, A Short Introduction to OPL |
2 | Building a Basic Mathematical Model: indexed decision variables, parameters and constraints | Ch 3, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press |
3 | Building a Basic Mathematical Model: a production planning problem model | Ch 3, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press |
4 | Building Linear Programming Models I : Workforce Planning model | Ch 3, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press |
5 | Building Linear Programming Models II: CPM model | Ch 8, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press |
6 | Building Linear Programming Models III: Supply planning model | Ch 9, Hillier, F. S., and Lieberman, G. J., Introduction to Operations Research, Tentth Edition, 2015 Mc Graw-Hill |
7 | Linearizing Logical Forms with Binary Variables | Ch 6, Sierksma, G. Linear and Integer Programming Theory and Practice, Marcel Dekker Inc. Second Edition |
8 | Building Integer Programming Models: Modeling integer programming models with conditional decisions | Ch 6-7, Sierksma, G. Linear and Integer Programming Theory and Practice, Marcel Dekker Inc. Second Edition |
9 | Building Integer Programming Models: set packing, covering and partitioning problems | Ch 6-7, Sierksma, G. Linear and Integer Programming Theory and Practice, Marcel Dekker Inc. Second Edition Ch 19, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press |
10 | Algorithm development and programming with ILOG OPL | IBM ILOG CPLEX OPTIMIZATION STUDIO (OPL) Documentation version 16 |
11 | Quadratic Assignment Problem and Model Formulation | Ch 11, Rardin, R. L., Optimization in Operations Research, 1998, Prentice-Hall |
12 | Traveling Salesman Problem and Model Formulation, Heuristic Solution Algorithms | Ch 9, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press |
13 | Cutting Stock Problem and Model Formulation | Ch 10, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press |
14 | Project Presentations | |
15 | Review of the semester | |
16 | Final Exam |
Course Notes/Textbooks | Operations Research: Applications and Algorithms, Wayne L. Winston, Duxbury Press, ISBN 0-534 20971-8., Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman, Tenth Edition, 2015 Mc Graw-Hill, ISBN: 978-007-126767-0 Linear and Integer Programming Theory and Practice, Gerard Sierksma, Marcel Dekker Inc., Second Edition, ISBN 978-0824706739 Optimization in Operations Research, Ronald L.Rardin, Prentice Hall, ISBN : 0-02-398415-5 |
Suggested Readings/Materials | Logic and Integer Programming, H. Paul Williams, Springer, ISBN 978-0387922799 M. L. Pinedo, Scheduling: Theory, Algorithms, and Systems, 2005, Springer, ISBN 978-0387789347 |
EVALUATION SYSTEM
Semester Activities | Number | Weigthing |
Participation |
1
|
20
|
Laboratory / Application |
1
|
20
|
Field Work | ||
Quizzes / Studio Critiques |
1
|
15
|
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury |
1
|
15
|
Project |
1
|
30
|
Seminar / Workshop | ||
Oral Exams | ||
Midterm | ||
Final Exam | ||
Total |
Weighting of Semester Activities on the Final Grade |
4
|
70
|
Weighting of End-of-Semester Activities on the Final Grade |
1
|
30
|
Total |
ECTS / WORKLOAD TABLE
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
|
4
|
56
|
Field Work |
0
|
||
Quizzes / Studio Critiques |
1
|
20
|
20
|
Portfolio |
0
|
||
Homework / Assignments |
0
|
||
Presentation / Jury |
1
|
10
|
10
|
Project |
1
|
30
|
30
|
Seminar / Workshop |
0
|
||
Oral Exam |
0
|
||
Midterms |
0
|
||
Final Exam |
0
|
||
Total |
180
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
1
|
2
|
3
|
4
|
5
|
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1 | To have knowledge in Mathematics, science, physics knowledge based on mathematics; mathematics with multiple variables, differential equations, statistics, optimization and linear algebra; to be able to use theoretical and applied knowledge in complex engineering problems |
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2 | To be able to identify, define, formulate, and solve complex mechatronics engineering problems; to be able to select and apply appropriate analysis and modeling methods for this purpose. |
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3 | To be able to design a complex electromechanical system, process, device or product with sensor, actuator, control, hardware, and software to meet specific requirements under realistic constraints and conditions; to be able to apply modern design methods for this purpose. |
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4 | To be able to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Mechatronics Engineering applications; to be able to use information technologies effectively. |
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5 | To be able to design, conduct experiments, collect data, analyze and interpret results for investigating Mechatronics Engineering problems. |
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6 | To be able to work effectively in Mechatronics Engineering disciplinary and multidisciplinary teams; to be able to work individually. |
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7 | To be able to communicate effectively in Turkish, both in oral and written forms; 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. |
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8 | To have knowledge about global and social impact of engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of engineering solutions. |
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9 | To be aware of ethical behavior, professional and ethical responsibility; information on standards used in engineering applications. |
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10 | To have knowledge about industrial practices such as project management, risk management and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development. |
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11 | Using a foreign language, he collects information about Mechatronics Engineering and communicates with his colleagues. ("European Language Portfolio Global Scale", Level B1) |
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12 | To be able to use the second foreign language at intermediate level. |
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13 | To recognize the need for lifelong learning; to be able to access information; to be able to follow developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Mechatronics Engineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest