FACULTY OF ENGINEERING
Department of Industrial Engineering
IE 356 | Course Introduction and Application Information
Course Name |
Mathematical Programming Models in Engineering
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
IE 356
|
Fall/Spring
|
2
|
2
|
3
|
6
|
Prerequisites |
|
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Course Language |
English
|
|||||||
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 | - | |||||||
Course Coordinator | - | |||||||
Course Lecturer(s) | - | |||||||
Assistant(s) | - |
Course Objectives | The aim of this course is to teach students building mathematical models of reallife problems and to enable them solving the complex problems encountered in industry and business. Emphasis is on framing the issues, articulating modeling components logically and analyzing the resulting model. It is intended to provide students with a solid foundation in the principles of model building as well as the algorithmic and theoretical side of mathematical programming. Handson modeling is particularly emphasized through many applications from various subjects and fields. Since nothing can be practically done without the help of good software, we have selected GAMS (the general algebraic modeling system) as the main tool to be used during the course. To facilitate its use, a detailed description of how problems need to be stated and the possibilities of GAMS are given |
Learning Outcomes |
The students who succeeded in this course;
|
Course Description | The main subjects of the course are the transportation problems, production scheduling problem, diet problem, network flow problem, portfolio problem, the 01 knapsack problem, the academy problem and school timetable problem and some examples of nonlinear programming, some useful modeling tricks, elements of convex analysis and the language features of the GAMS Package and some examples using GAMS |
|
Core Courses | |
Major Area Courses |
X
|
|
Supportive Courses | ||
Media and Management Skills Courses | ||
Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
Week | Subjects | Related Preparation |
1 | The Transportation Problem. A GAMS Code to Solve the Transportation Problem. The Production Scheduling Problem | Lecture notes |
2 | The Diet Problem. A GAMS Code to Solve the Diet Problem | Lecture notes |
3 | The Network Flow Problem. A GAMS Code to Solve the Network Flow Problem | Lecture notes |
4 | The Portfolio Problem and a GAMS Code for Solving it. | Lecture notes |
5 | MixedInteger Linear Programming. The 01 Knapsack Problem And an Input GAMS File to Solve This Problem. | Lecture notes |
6 | Identifying Relevant Symptoms and an Input GAMS File to Solve This Problem | Lecture notes |
7 | The Academy Problem and an Input GAMS File to Solve This Problem | Lecture notes |
8 | School Timetable Problem and an Input GAMS File to Solve This Problem | Lecture notes |
9 | Models of Discrete Location and an Input GAMS File to Solve This Problem | Lecture notes |
10 | Nonlinear Programming. Some Geometrically Motivated Examples. The Postal Package Example. The Tent Example. The Surface Example. An Input GAMS File to Solve These Problems | Lecture notes |
11 | Some useful modeling tricks | Lecture notes |
12 | Understanding the Set of All Feasible Solutions. Lines, Planes, Hyperplanes | Lecture notes |
13 | Linear Spaces. Basis and Dimensions of linear Vector Spaces | Lecture notes |
14 | Convex sets. Polyhedral sets. Cones | Lecture notes |
15 | Extreme Points. Extreme Directions | Lecture notes |
16 | Review of the Semester |
Course Notes/Textbooks | Building and Solving Mathematical Programming Models in Engineering and Science. Enrique Castillo, Antonio J. Conejo, Pablo Pedregal, Ricardo Garcia, Natalia Alguacil, John Wiley & Sons, Inc., 2002, ISBN 0471150436 |
Suggested Readings/Materials | Model Building in Mathematical Programming, Fourth Edition, H. Paul Williams, John Wiley & Sons, Ltd., 2003, ISBN 0 471 99788 |
EVALUATION SYSTEM
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | ||
Portfolio | ||
Homework / Assignments |
1
|
10
|
Presentation / Jury |
1
|
10
|
Project | ||
Seminar / Workshop | ||
Oral Exams | ||
Midterm |
1
|
35
|
Final Exam |
1
|
45
|
Total |
Weighting of Semester Activities on the Final Grade |
55
|
|
Weighting of End-of-Semester Activities on the Final Grade |
45
|
|
Total |
ECTS / WORKLOAD TABLE
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
Study Hours Out of Class |
15
|
4
|
60
|
Field Work |
0
|
||
Quizzes / Studio Critiques |
0
|
||
Portfolio |
0
|
||
Homework / Assignments |
4
|
5
|
20
|
Presentation / Jury |
1
|
10
|
10
|
Project |
0
|
||
Seminar / Workshop |
0
|
||
Oral Exam |
0
|
||
Midterms |
1
|
12
|
12
|
Final Exam |
1
|
20
|
20
|
Total |
170
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
1
|
2
|
3
|
4
|
5
|
||
1 | To have adequate knowledge in Mathematics, Science and Industrial Engineering; to be able to use theoretical and applied information in these areas to model and solve Industrial Engineering problems. |
X | ||||
2 | To be able to identify, formulate and solve complex Industrial Engineering problems by using state-of-the-art methods, techniques and equipment; to be able to select and apply proper analysis and modeling methods for this purpose. |
X | ||||
3 | To be able to analyze a complex system, process, device or product, and to design with realistic limitations to meet the requirements using modern design techniques. |
X | ||||
4 | To be able to choose and use the required modern techniques and tools for Industrial Engineering applications; to be able to use information technologies efficiently. |
X | ||||
5 | To be able to design and do simulation and/or experiment, collect and analyze data and interpret the results for investigating Industrial Engineering problems and Industrial Engineering related research areas. |
X | ||||
6 | To be able to work efficiently in Industrial Engineering disciplinary and multidisciplinary teams; to be able to work individually. |
X | ||||
7 | To be able to communicate effectively in Turkish, both orally and in writing; 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 |
X | ||||
8 | To have knowledge about contemporary issues and the global and societal effects of Industrial Engineering practices on health, environment, and safety; to be aware of the legal consequences of Industrial Engineering solutions. |
X | ||||
9 | To be aware of professional and ethical responsibility; to have knowledge of the standards used in Industrial Engineering practice. |
X | ||||
10 | To have knowledge about business life practices such as project management, risk management, and change management; to be aware of entrepreneurship and innovation; to have knowledge about sustainable development. |
X | ||||
11 | To be able to collect data in the area of Industrial Engineering; to be able to communicate with colleagues in a foreign language. |
X | ||||
12 | To be able to speak a second foreign at a medium level of fluency efficiently. |
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13 | To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Industrial Engineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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