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| YBS3002 | Operations Research | 3+0+0 | ECTS:4 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of MANAGEMENT INFORMATION SYSTEMS | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Doç. Dr. Pelin ŞENTÜRK | | Co-Lecturer | PROF. DR. Birdoğan BAKİ, PROF. DR. SELÇUK PERÇİN | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The course aims to give to students to ability of developing operations research models and applying these models to the main areas of business such as production, marketing and finance. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Describe various terms about building model in Linear Programming (LP). | 3,4 | | | LO - 2 : | Distinguish various LP techniques. | 3,4 | | | LO - 3 : | Prepare the most appropriate LP model for determined sector (problem). | 3,4 | | | LO - 4 : | Examine the appropriateness of used model to real situation. | 3,4 | | | LO - 5 : | Build a new model removing deficiencies of used LP model. | 3,4 | | | 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 linear programming problems, graphical solution, simplex method, LP applications, duality, primal - dual relationships, economic interpretation of duality, sensitivity analysis, integer programming, goal programming, applications with Lindo packages. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Course objectives and outlines, The methodology of operations research, The fundamental concepts of linear programming | | | Week 2 | Definitions, assumptions and general model structure of LP, Formulating the Linear Programming problems | | | Week 3 | Model building, Characteristics of the LP models, Models of cost, revenue and profit | | | Week 4 | Solution Methodologies of LP Problems, Graphical solution, Graphical solution procedure for maximization and minimization problems | | | Week 5 | Special cases of graphical solution, Infeasibility, Unboundedness, Alternative optimal solutions | | | Week 6 | The simplex algorithm, Setting up the initial simplex tableau, Arranging the optimal solution | | | Week 7 | Summary of the simplex method, Interpreting the obtained results from the optimal simplex tableau | | | Week 8 | Special cases of simplex solution method, Degeneracy of the simplex algorithm, Infeasibility Unboundedness, Alternative optimal solutions | | | Week 9 | Mid-term exam | | | Week 10 | Duality, Economic Interpretation of the Dual Variables | | | Week 11 | Sensitivity analysis, Changes in objective functions' coefficients, Changes in right-hand-side values | | | Week 12 | Introducing softwares for solving LP models (Lindo, Lingo, WinQSB, QM, and Tora) | | | Week 13 | Integer programming models, Formulating integer programming problems, Solution of the integer programming problems with gomory column generation procedure | | | Week 14 | Goal programming, Model formulation, Graphical interpretation of goal programming | | | Week 15 | Review | | | Week 16 | End-of-term exam | | | |
| 1 | Öztürk, A. 2005, Yöneylem Araştırması, Ekin Kitabevi, Bursa. | | | 2 | Ulucan, A. 2004, Yöneylem Araştırması, Siyasal Kitabevi, Ankara. | | | |
| 1 | Tütek, H., Gümüşoğlu, Ş. 2000, Sayısal Yöntemler, Beta Basım Yayım Dağıtım AŞ, İstanbul. | | | 2 | Taha, H. A. 2003, Yöneylem Araştırması, Çeviren ve Uyarlayanlar: Baray, Ş.A., Esnaf, Ş. , Literatür Yayıncılık, İstanbul | | | 3 | Esin, A. 2003, Yöneylem Araştırmasında Kullanılan Karar Yöntemleri, Gazi Kitabevi, Ankara. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | | 1 | 50 | | In-term studies (second mid-term exam) | 16 | | 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 | 2 | 14 | 28 | | Arasınav için hazırlık | 10 | 2 | 20 | | Arasınav | 1 | 1 | 1 | | Dönem sonu sınavı için hazırlık | 28 | 1 | 28 | | Dönem sonu sınavı | 1 | 1 | 1 | | Total work load | | | 120 |
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