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| EKO3007 | Operations Research - I | 3+0+0 | ECTS:6 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of ECONOMETRICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Prof. Dr. Tuba YAKICI AYAN | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The course aims to provide the students with the skills to plan and model complex systems, and rational and optimal solution methods. Because of learning, the student will understand the underlying algorithms and be able to interpret the results. He/She will be able to formulate problems as abstract models, which can be solved by generic algorithms. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | learn the basic concepts of operations research. | 1,2 | 1, | | LO - 2 : | able to model real life problems. | 1,2 | 1, | | LO - 3 : | able to apply various operations research techniques. | 1,2 | 1, | | LO - 4 : | able to interpret in detail the findings obtained with operations research techniques. | 1,2 | 1, | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Modeling: Formulating the problem, constructing a mathematical modelIntroduction to linear programming : Assumptions of linear programming, the linear programming model, Graphical solution method, Simplex method : Essence of the simplex method, setting up the simplex method, the algebra of the simplex method, tie breaking in the simplex method, Dual simplex method, Duality theory and sensitivity analysis : the essence of duality theory, economic interpretation of duality, primal-dual relationships, the role of duality theory in sensitivity analysis, the essence of sensitivity analysis, applying sensitivity analysisInteger programming: Cutting plane algorithm |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Students will be able to get some basic operations research concepts | | | Week 2 | The Operations research Modelling Approach | | | Week 3 | Students will be able to apply basic basic operations research on applications | | | Week 4 | Students will get some new techniques to apply problems in operations research. | | | Week 5 | Solving Linear Programming Problems:The Graphical Method | | | Week 6 | Solving Linear Programming Problems:The Graphical Method | | | Week 7 | Solving Linear Programming Problems:The Graphical Method | | | Week 8 | Solving Linear Programming Problems:The Simpleks Method | | | Week 9 | Mid-term exam | | | Week 10 | Setting Up the Simpleks Medot | | | Week 11 | The Simpleks Method in Tabular Form | | | Week 12 | Multiple Optimal Solutions | | | Week 13 | The Theory of the Simpleks Metod | | | Week 14 | The revised simpleks metod | | | Week 15 | Basıc feasible soultion | | | Week 16 | End-of-term exam | | | |
| 1 | Öztürk, Ahmet, 2009, yöneylem Araştırması; Ekin Yayınevi, Bursa | | | 2 | Bazaraa,Mokhhtar, Jarvis John J; 2007, Linear Pogramming and network Flows, Washington | | | 3 | Hillier,Frederick S., Lieberman, Gerald J.; 1986, Introduction to Operations Research, Holden-Day, California | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | /11/2023 | 1 | 50 | | End-of-term exam | 16 | /01/2024 | 1 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 6 | 14 | 84 | | Arasınav için hazırlık | 11 | 2 | 22 | | Arasınav | 1 | 1 | 1 | | Dönem sonu sınavı için hazırlık | 10 | 3 | 30 | | Dönem sonu sınavı | 1 | 1 | 1 | | Total work load | | | 180 |
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