GRADUATE SCHOOL

M.SC. In Industrial Engineering (With Thesis)

IE 513 | Course Introduction and Application Information

Course Name
Mathematical Programming and Applications
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
IE 513
Fall
3
0
3
7.5

Prerequisites
None
Course Language
English
Course Type
Required
Course Level
Second Cycle
Mode of Delivery -
Teaching Methods and Techniques of the Course -
Course Coordinator
Course Lecturer(s)
Assistant(s) -
Course Objectives Purpose of this course is to provide an overview of basic linear programming and discuss advanced modeling and solution techniques.
Learning Outcomes The students who succeeded in this course;
  • Be able to formulate engineering problems as mathematical programs
  • Be able to solve mathematical problems using appropriate methods
  • Be able to apply mathematical programming and solution methods to real life problems like network flow
Course Description Topics of this course include theory, algorithms, and computational aspects of linear programming; formulation of problems as linear programs; duality and sensitivity analysis; primaldual simplex methods; the transportation, transshipment and assignment algorithms; extensions of linear programming; integer programming formulations and solution methods.

 



Course Category

Core Courses
X
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 linear programming Textbook Chapter 1
2 Geometric solution Textbook Chapter 1
3 Linear algebra, convex analysis and polyhedral sets Textbook Chapter 2
4 Simplex method Textbook Chapter 3
5 Simplex method Textbook Chapter 3
6 Simplex method Textbook Chapter 3
7 Starting solution and convergence Textbook Chapter 4
8 Special simplex implementations and optimality conditions Textbook Chapter 5
9 Midterm exam
10 Duality Textbook Chapter 6
11 Duality Textbook Chapter 6
12 Sensitivitiy analysis Textbook Chapter 6
13 Decomposition algorithms Textbook Chapter 7
14 Integer Programming
15 New Year
16 Review of the Semester

 

Course Notes/Textbooks Bazaraa M.S., Jarvis J.J., Sherali H.D., Linear Programming and Network Flows, Wiley. Bertsimas, D. and Tsitsiklis, J. N., Introduction to Linear Optimization, Athena Scientific, 1997, Instructor notes and lecture slides.
Suggested Readings/Materials Related Research Papers

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
20
Presentation / Jury
Project
1
25
Seminar / Workshop
Oral Exams
Midterm
1
25
Final Exam
1
30
Total

Weighting of Semester Activities on the Final Grade
3
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
3
48
Laboratory / Application Hours
(Including exam week: '.16.' x total hours)
16
0
Study Hours Out of Class
14
6
84
Field Work
0
Quizzes / Studio Critiques
0
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
1
33
33
Seminar / Workshop
0
Oral Exam
0
Midterms
1
25
25
Final Exam
1
35
35
    Total
225

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To have an appropriate knowledge of methodological and practical elements of the basic sciences and to be able to apply this knowledge in order to describe engineering-related problems in the context of industrial systems.

X
2

To be able to identify, formulate and solve Industrial Engineering-related problems by using state-of-the-art methods, techniques and equipment.

X
3

To be able to use techniques and tools for analyzing and designing industrial systems with a commitment to quality.

X
4

To be able to conduct basic research and write and publish articles in related conferences and journals.

X
5

To be able to carry out tests to measure the performance of industrial systems, analyze and interpret the subsequent results.

X
6

To be able to manage decision-making processes in industrial systems.

X
7

To have an aptitude for life-long learning; to be aware of new and upcoming applications in the field and to be able to learn them whenever necessary.

X
8

To have the scientific and ethical values within the society in the collection, interpretation, dissemination, containment and use of the necessary technologies related to Industrial Engineering.

X
9

To be able to design and implement studies based on theory, experiments and modeling; to be able to analyze and resolve the complex problems that arise in this process; to be able to prepare an original thesis that comply with Industrial Engineering criteria.

X
10

To be able to follow information about Industrial Engineering in a foreign language; to be able to present the process and the results of his/her studies in national and international venues systematically, clearly and in written or oral form.

X

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 


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