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| ORM3012 | Operations Research | 2+0+0 | ECTS:4 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Elective | | Department | DEPARTMENT of FOREST ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 2 hours of lectures per week | | Lecturer | Doç. Dr. Uzay KARAHALİL | | Co-Lecturer | | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | Orman mühendislerini bilimsel karar verme teknikleri ile donatmak, sistem anlayışı ile ormancılık disiplininde en iyi kararların alınması mantığını kazandırmak. Öğrencilere doğrusal programlama ve amaç programlama teknikleri ile kısıtlı orman kaynaklarından azami derecede yararlanmak için model kurma, çözme ve sonuçlarını tahlil etme becerisini kazandırmak |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Define and explain the importance of operations research (OR) techniques as applied to forest resource management | 2,4 | 1,3, | | LO - 2 : | Formulate a real forestry problem in mathematical symbols using OR techniques such as linear programming, goal programming and network techniques. | 2,4 | 1,3, | | LO - 3 : | Solve the models with appropriate solutions techniques such as simplex method, run a model in a computer and present the outcome of the model to the audience | 2,4 | 1,3, | | LO - 4 : | Analyze model results, relate them to the real problem and filter the consequences of each constraint to management | 2,4 | 1,3, | | LO - 5 : | Interpret and pinpoint the risk and opportunities in solving problems with OR techniques | 2,4 | 1,3, | | 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 | | |
| Introduction to operations research: system, model and model types, OR principles, model structureDecision making techniques: linear programming and goal programmingModel semantics: structure of a model, decision variables, model objectives, model constraintsModel construction: mathematical formulation of a number of sample forestry problems in linear programming (LP) techniquesModel solution: graphical solution of LP model, matrix generation, basic steps of Simplex Method, special cases in solving an LP model with simplex method (degeneracy, multiple optimal solution, unbounded problems and infeasible solution) Duality and sensitivity analysis: duality concept, sensitivity of constraints, sensitivity of coefficients in the objective function, and introduction of a new product. Goal programming: model construction, multiple goals, priorities, achievement function, target deviations, solving a goal programming model with a modified simplex method |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introdcution to operation research (definition and history) | | | Week 2 | Basic principles of operations research, introduction to system, model, model types and objective function | | | Week 3 | Introduciton to linear programming(LP) | | | Week 4 | LP Model construction for sample problems | | | Week 5 | LP Model construction for sample forestry problems | | | Week 6 | Solution of LP models: Graphical method | | | Week 7 | Solution of LP models: Simplex method | | | Week 8 | Sensitivity analysis | | | Week 9 | Assignment | | | Week 10 | Sensitivity analysis (continued) | | | Week 11 | Introduction to and use of LINDO LP program | | | Week 12 | Introduciton to goal programming: model construction and solution | | | Week 13 | Sample problmes and solutions | | | Week 14 | Solutions of sample problmes with goal programming (GP) | | | Week 15 | Development of sample forest management models with LP and GP, solution with LINDO and sensitivity analysis | | | Week 16 | End-of-term exam | | | |
| 1 | Yöneylem Araştırması: Modelleme ve Doğal Kaynak Uygulamaları, 2004. Prof.Dr. Emin Zeki Başkent. KTÜ Matbaası, Trabzon 417 shf | | | |
| 1 | Osman Halaç, Kantitatif Karar Verme Teknikleri (Yöneylem Araştırması), 3. Baskı, Evrim Dağıtım, İstanbul-1991 | | | 2 | W.L. Winston, Operations research Applications and Algorithms, Second Edition, Duxbury Press, California, 1991 | | | 3 | F.S. Hillier, G.J. Lieberman, Introduction to Operations Research, Mc Graw-Hill, NewYork, 5. Baskı, 1990 | | | 4 | D.R. Anderson, D.J. Sweeney, T.A. Williams, An İntroduction to Management Science, Quantitative Approaches to Decision Making, Eighth Edition, West Publishing Com., Minneapolis, 1997 | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 18/04/2024 | 1 | 50 | | Quiz | | | | | | End-of-term exam | 16 | 04/06/2024 | 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 | 2 | 14 | 28 | | Sınıf dışı çalışma | 2 | 1 | 2 | | Laboratuar çalışması | 0 | 0 | 0 | | Arasınav için hazırlık | 6 | 5 | 30 | | Arasınav | 0 | 0 | 0 | | Uygulama | 1 | 5 | 5 | | Klinik Uygulama | 0 | 0 | 0 | | Ödev | 3 | 6 | 18 | | Proje | 0 | 0 | 0 | | Kısa sınav | 0 | 0 | 0 | | Dönem sonu sınavı için hazırlık | 8 | 2 | 16 | | Dönem sonu sınavı | 1 | 1 | 1 | | Diğer 1 | 0 | 0 | 0 | | Diğer 2 | 0 | 0 | 0 | | Total work load | | | 100 |
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