| Course Name |
Optimization I
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
IE 251
|
FALL
|
2
|
2
|
3
|
6
|
| Prerequisites | MATH 250 To succeed (To get a grade of at least DD) | |||||
| Course Language | English | |||||
| Course Type | Required (Core Course) | |||||
| Course Level | First Cycle | |||||
| Mode of Delivery | Face-To-Face | |||||
| Teaching Methods and Techniques of the Course |
Group work Problem solving Case study Experiment/Laboratory/Workshop application |
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| National Occupational Classification Code | - | |||||
| Course Coordinator |
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| Course Lecturer(s) |
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| Assistant(s) |
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| Course Objectives | This course is the first part of a two term sequence, aims to give students a good foundation in the theory and applications of linear programming problems as well as an appreciation of its potential applications extensively in such diverse areas as manufacturing, financial planning, health care, the military, public services etc. | |||||||||||||||||||||||||||||||||||||||||||||||||||||
| Learning Outcomes |
The students who succeeded in this course;
|
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| Course Description | The main subjects of the course are the construction of linear programming models, the geometrical interpretation of solutions to the linear optimization problems and their algebraic groundwork, the simplex method, duality theory, sensitivity analysis and the dual simplex method. | |||||||||||||||||||||||||||||||||||||||||||||||||||||
| Related Sustainable Development Goals |
-
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Core Courses |
X
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| Major Area Courses |
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| Supportive Courses |
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| Media and Managment Skills Courses |
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| Transferable Skill Courses |
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| Week | Subjects | Required Materials | Learning Outcome |
| 1 | Introduction | Chapters 1 and 2: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | - |
| 2 | Introduction to Linear Programming | Chapter 3: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO1 |
| 3 | Introduction to Linear Programming | Chapter 3: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO2 |
| 4 | Introduction to Linear Programming | Chapter 3: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO1 |
| 5 | Introduction to Linear Programming | Chapter 3: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO5 |
| 6 | The Simplex Algorithm | Chapters 4 and 5: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO2 |
| 7 | The Simplex Algorithm | Chapters 4 and 5: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO2 |
| 8 | Midterm Exam | - | |
| 9 | The Simplex Algorithm | Chapters 4 and 5: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO2 |
| 10 | Sensitivity Analysis and Duality | Chapter 6: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO3 |
| 11 | Sensitivity Analysis and Duality | Chapter 6: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO5 |
| 12 | Sensitivity Analysis and Duality | Chapter 6: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO4 |
| 13 | Sensitivity Analysis and Duality | Chapter 6: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO4 |
| 14 | Sensitivity Analysis and Duality | Chapter 6: Introduction to Operations Research, Frederick S. Hillier, Gerald J. Lieberman Lecture notes | LO5 |
| 15 | Review | - | |
| 16 | Final Exam | - |
| Course Notes/Textbooks | Introduction to Operations Research Frederick S. Hillier Gerald J. Lieberman Tenth Edition 2010 Mc GrawHill ISBN: 9780071267670 |
| Suggested Readings/Materials |
Operations Research: Applications and Algorithms Wayne L. Winston 4th Ed. Duxbury Press ISBN 0534209718. Operations Research. An Introduction Hamdy A. Taha Sixth Edition 1997 PrenticeHall ISBN 0132811723. |
| Semester Activities | Number | Weighting | LO1 | LO2 | LO3 | LO4 | LO5 |
| Laboratory / Application | 1 | 10 | X | ||||
| Quizzes / Studio Critiques | 4 | 20 | X | X | X | X | |
| Homework / Assignments | 1 | 10 | X | X | X | ||
| Midterm | 1 | 25 | X | X | |||
| Final Exam | 1 | 35 | X | X | X | ||
| Total | 8 | 100 |
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Participation | - | - | - |
| Theoretical Course Hours | 16 | 2 | 32 |
| Laboratory / Application Hours | 16 | 2 | 32 |
| Study Hours Out of Class | 14 | 4 | 56 |
| Field Work | - | - | - |
| Quizzes / Studio Critiques | 4 | 4 | 16 |
| Portfolio | - | - | - |
| Homework / Assignments | 1 | 14 | 14 |
| Presentation / Jury | - | - | - |
| Project | - | - | - |
| Seminar / Workshop | - | - | - |
| Oral Exams | - | - | - |
| Midterms | 1 | 14 | 14 |
| Final Exam | 1 | 16 | 16 |
| Total | 180 |
| # | PC Sub | Program Competencies/Outcomes | * Contribution Level | ||||
| 1 | 2 | 3 | 4 | 5 | |||
| No program competency data found. | |||||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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