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Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course General Introduction Information

Course Code: ENM202
Course Name: Operations Research I
Course Semester: Spring
Course Credits:
ECTS
6
Language of instruction: TR
Course Requirement:
Does the Course Require Work Experience?: No
Type of course: Necessary
Course Level:
Bachelor TR-NQF-HE:6. Master`s Degree QF-EHEA:First Cycle EQF-LLL:6. Master`s Degree
Mode of Delivery: Face to face
Course Coordinator : Ar.Gör. FATMANUR GÖÇER
Course Lecturer(s): Dr. Mustafa YILDIRIM
Course Assistants:

Course Purpose and Content

Course Objectives: It is to teach the modeling and decision-making concept in Operations Research, general methodologies and solution procedures, and to ensure that management policies and activities are determined scientifically by using this information.
Course Content: Introduction to Numerical Methods in Decision Making; Formulation and Graphical Solution Method in Linear Programming; Linear Programming Applications; Sensitivity Analysis in Graphical Solution; Algebraic Solution in Linear Programming (Simplex Method); Special Cases in the Simplex Method; Duality and Sensitivity Analysis in Linear Programming; Transport Model, Assignment Model and Transport Model in Linear Programming; Integer Linear Programming and Solution Methods, Branch and Bound Algorithm

Learning Outcomes

The students who have succeeded in this course;
1) The student knows the concept of optimization.
2) The student gains knowledge about linear models and linear programming.
3) The student acquires the ability to create linear models of real life problems.
4) The student acquires the ability to find the best solutions of mathematical models.
5) The student gains the ability to analyze real-life changes on the model.

Course Flow Plan

Week Subject Related Preparation
1) Introduction to Numerical Methods in Decision Making; Revealing the Scientific and Artistic Aspects of Operations Research; Examining the Concept of Decision Making and Model; Steps in an Operations Research Study Lecture Notes
2) Formulation and Graphical Solution Method in Linear Programming; Examining the Process of Establishing a Mathematical Model; Establishing a Linear Programming Model of a Simple Case and graphically solving the model and explaining the graphical solution procedure Lecture Notes
3) Examination of some special situations encountered in the Graphical Solution procedure; Linear Programming Applications and formulation of problems; Production planning; Establishing linear programming models on different issues such as product mix, personnel assignment, portfolio selection Lecture Notes
4) Sensitivity Analysis in Graphical Solution; Sensitivity analysis for right side values; Solution for right side change; Changes in objective function coefficients Lecture Notes
5) Algebraic Solution in Linear Programming (Simplex Method); Standard Form and Basic Solution of an LP Model; Explanation of the features of the standard DP model; Determining the Basic Solution Lecture Notes
6) Algebraic Solution in Linear Programming (Simplex Method); Introduction to the Simplex Method Explanation of the calculation details of the Simplex algorithm Lecture Notes
7) Artificial Start Solution; Explanation of M Technique (Punishment Method); Two-Step Method Lecture Notes
8) Midterm Exam 1 / Practice or Topic Review Lecture Notes
9) Artificial Start Solution; Explanation of M Technique (Punishment Method); Two-Step Method: Laboratory Time (GAMS) Lecture Notes
10) Transportation Model in Linear Programming; Definition of Transportation Model; Formulating the Transportation Model as a Linear Model Lecture Notes
11) Explaining the Transportation Algorithm; Initial Solution Determination Methods; Transport method Lecture Notes
12) Assignment Model and Solution Method Lecture Notes
13) Integer Linear Programming; Solution Methods; Branch and Bound Algorithm Lecture Notes
14) Integer Linear Programming; Solution Methods; Branch and Bound Algorithm Lecture Notes
15) Final Lecture Notes

Sources

Course Notes / Textbooks: Taha H.A., Operations Research: An Introduction.,7th edition, Pearson Education Inc. Winston, W.L., Operations Research: Applications and Algorithms, Brooks/Cole, Cengage Learning Hillier, F.S. and Lieberman,G.J., Introduction to Operations Research, McGraw Hill International Edition
References: Taha H.A., Operations Research: An Introduction.,7th edition, Pearson Education Inc. Winston, W.L., Operations Research: Applications and Algorithms, Brooks/Cole, Cengage Learning Hillier, F.S. and Lieberman,G.J., Introduction to Operations Research, McGraw Hill International Edition

Course - Learning Outcome Relationship

No Effect 1 Lowest 2 Medium 3 Highest
       
Program Outcomes Level of Contribution
1) Adequate knowledge in mathematics, science, and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems. 2
2) An ability to detect, identify, formulate, and solve complex engineering problems; the ability to select and apply appropriate analysis and modelling methods for this purpose. 3
3) An ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. 1
4) An ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems in engineering applications. 2
5) An ability to use information technologies effectively. 3
6) Ability to design, conduct experiments, collect data, analyse, and interpret results to investigate complex engineering problems or discipline-specific research topics. 2
7) Ability to work effectively in disciplinary and multidisciplinary teams; ability to work individually. 2
8) Ability to communicate effectively in oral and written Turkish. 3
9) Knowledge of at least one foreign language. 2
10) Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instructions. 3
11) Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology and ability to renew themselves. 2

Learning Activity and Teaching Methods

Alan Çalışması
Akran Değerlendirmesi
Anlatım
Beyin fırtınası /Altı şapka
Bireysel çalışma ve ödevi
Course
Grup çalışması ve ödevi
Labs
Okuma
Homework
Problem Çözme
Proje Hazırlama
Rapor Yazma
Rol oynama
Seminar
Soru cevap/ Tartışma
Sosyal Faaliyet
Teknik gezi
Tez Hazırlama
Uygulama (Modelleme, Tasarım, Maket, Simülasyon, Deney vs.)
Örnek olay çalışması
Web Tabanlı Öğrenme
Staj/Yerinde Uygulama

Measurement and Evaluation Methods and Criteria

Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama)
Sözlü sınav
Homework
Uygulama
Gözlem
Bireysel Proje
Grup Projesi
Sunum
Raporlama
Akran Değerlendirmesi
Bilgisayar Destekli Sunum
Tez Sunma
Uzman / Jüri Değerlendirmesi
Örnek olay sunma
Staj/ Yerinde Uygulama Değerlendirmesi
Yarışma

Assessment & Grading

Semester Requirements Number of Activities Level of Contribution
Homework Assignments 1 % 10
Project 1 % 20
Midterms 1 % 30
Final 1 % 40
total % 100
PERCENTAGE OF SEMESTER WORK % 60
PERCENTAGE OF FINAL WORK % 40
total % 100

İş Yükü ve AKTS Kredisi Hesaplaması

Activities Number of Activities Aktiviteye Hazırlık Aktivitede Harçanan Süre Aktivite Gereksinimi İçin Süre Workload
Course Hours 14 3 42
Study Hours Out of Class 2 4 8
Presentations / Seminar 1 1 1
Project 2 4 8
Homework Assignments 2 3 6
Midterms 1 2 2
Paper Submission 2 4 8
Final 1 2 2
Total Workload 77