In this course, the application areas and underlying assumptions of linear programming, integer
programming, nonlinear programming and multi-objective programming models will be analyzed.
Different case studies and papers on these models, published in international journals, will be
discussed
Prerequisite(s)
None
Corequisite(s)
None
Special Requisite(s)
None
Instructor(s)
Professor Murat Ermiş
Course Assistant(s)
-
Schedule
This course is not offered in this semester.
Office Hour(s)
This course is not offered in this semester.
Teaching Methods and Techniques
Lectures using PowerPoint slides, discussions
Principle Sources
Textbook: H. Paul Williams, “Model Building in Mathematical Programming”, Wiley, 5th Edition, 2013.
Different case studies and papers on linear programming, integer programming, nonlinear programming and multiobjective programming models published in international journals will be listed at the beginning of the semester.
Other Sources
Rardin, R.I., "Optimization in Operations Research", Prentice Hall, 1998.
Course Schedules
Week
Contents
Learning Methods
1. Week
Introduction and Course Overview
Oral presentation
2. Week
Building Linear Programming Models
Oral presentation
3. Week
Structured Linear Programming Models
Oral presentation, assignment #1
4. Week
Integer Programming Models
Oral presentation
5. Week
Applications and Special Types of Mathematical Programming Model
Case studies
6. Week
Examples on Linear Programming and Integer Programming Models
Case studies, assignment #2
7. Week
Examples on Linear Programming and Integer Programming Models
Case studies
8. Week
Non-linear Models
Case studies
9. Week
Midterm
10. Week
Case / Paper presentations of students (Round 1)
Oral presentation
11. Week
Case / Paper presentations of students (Round 1)
Oral presentation
12. Week
Case / Paper presentations of students (Round 2)
Oral presentation
13. Week
Case / Paper presentations of students (Round 2)
Oral presentation
14. Week
Review
Oral presentation, case studies
15. Week
Final Exam
16. Week
Final Exam
17. Week
Final Exam
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
30
Homework / Term Projects / Presentations
5
30
Final Exam
1
40
Program Outcomes
PO-1
Ability to apply theoretical and practical knowledge gained by Mathematics, Science and their engineering fields and ability to use their knowledge in solving complex engineering problems.
PO-2
Ability of determining, defining, formulating and solving complex engineering problems; for that purpose develop the ability of selecting and implementing suitable models and methods of analysis.
PO-3
Ability of designing a complex system, process, device or product under real world constraints and conditions serving certain needs; for this purpose ability of applying modern design techniques
PO-4
Ability of selecting and using the modern techniques and devices which are necessary for analyzing and solving complex problems in engineering implementations; ability of efficient usage of information technologies.
PO-5
Ability of designing experiments, conducting tests, collecting data and analyzing and interpreting the solutions to investigate of complex engineering problems or discipline-specific research topics.
PO-6
Ability of working efficiently in intra-disciplinary and multi-disciplinary teams; individual working ability and habits.
PO-7
Ability of verbal and written communication skills; and at least one foreign language skills, ability to write effective reports and understand written reports, ability to prepare design and production reports, ability to make impressive presentation, ability to give and receive clear and understandable instructions
PO-8
Awareness of importance of lifelong learning; ability to access data, to follow up the recent innovation in science and technology for continuous self-improvement.
PO-9
Conformity to ethical principles; knowledge about occupational and ethical responsibility, and standards used in engineering applications.
PO-10
Knowledge about work life implementations such as project management, risk management and change management; awareness about entrepreneurship and innovativeness; knowledge about sustainable development.
PO-11
Knowledge about effects of engineering applications on health, environment and security in global and social dimensions, and on the problems of the modern age in engineering; awareness about legal outcomes of engineering solutions.
Learning Outcomes
LO-1
Gains the ability to model a problem as a linear programming model.
LO-2
Gains the ability to model a problem as an integer programming model and discuss solution methods.
LO-3
Gains the ability to learn how to make business decisions with an optimization point of view.
LO-4
Gains the ability to examine the application areas of mathematical modeling.
LO-5
Gains the ability to work in a team.
LO-6
Gains the skill of preparing formal presentation using a presentation program.
