Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS Credits
5EDS301Operations Research I2+2+034

 
Course Details
Language of Instruction Turkish
Level of Course Unit Bachelor's Degree
Department / Program Industrial Engineering
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course This course aims to teach students how to model decision problems for the design and operation of systems where scarce resources are shared, using scientific methods and to find the optimal solution with various algorithms.
Course Content 1. INTRODUCTION TO OPERATIONS RESEARCH
2. INTRODUCTION TO LINEAR PROGRAMMING
3. SIMPLEX METHOD
4. DUALITY
5. COMPUTER SOLUTION
6. SENSIVITY ANALYSIS
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Asist Prof. Özer Öztürk
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Winston, Wayne L., “Operations Research: Applications and Algorithms”, Fourth Edition, Brooks/Cole-Thomson Learning, 2004.
1. Hamdy A Taha, “Operations Research: An Introduction”, 8th Edition, Pearson Education, Inc., 2002,
2. Öztürk, A., Yöneylem Araştırması, Ekin Yayınevi, Bursa, 2016.

Course Category
Mathematics and Basic Sciences %30
Engineering %50
Engineering Design %20

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 1 % 30
Quizzes 2 % 20
Assignment 1 % 10
Final examination 1 % 40
Total
5
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 2 28
Hours for off-the-c.r.stud 14 2 28
Assignments 1 3 3
Mid-terms 3 3 9
Practice 14 2 28
Final examination 1 10 10
Total Work Load   Number of ECTS Credits 4 106

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Students can analyze the problem by using basic mathematics and engineering knowledge for linear programming problems and construct a linear programming model of the problem.
2 Students will be able to analyze the problem by using their knowledge of mathematics and engineering for linear programming problems with two variables, construct a linear programming model, and solve the problem with the graphical solution method.
3 Students can analyze the problem by using their knowledge of mathematics and engineering for linear programming problems, construct the linear programming model and solve the problem with the Simplex Algorithm method.
4 Students can analyze the problem by using their knowledge of mathematics and engineering for linear programming problems with different constraints, construct the linear programming model, and solve the problem with the help of Big M and Two-Phase techniques.
5 Students can construct dual models of Primal Linear programming models.
6 Students can analyze the problem by using basic mathematics and engineering knowledge for linear programming problems that can be solved with the Dual Simplex Algorithm, build the model of the problem, and find the optimal solution of the problem with the help of the Dual Simplex Algorithm.
7 Students can analyze the problem by using basic mathematical and engineering knowledge for linear programming problems, build a model of the problem, and solve linear programming models with the help of Computer Programs (LINGO).
8 Students can perform sensitivity analysis through Computer Program, Graphical Solution and Simplex Table Solutions by using basic mathematics and engineering knowledge for linear programming problems.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 1. INTRODUCTION TO OPERATIONS RESEARCH 1.1 HISTORICAL DEVELOPMENT OF OPERATIONS RESEARCH 1.1.1 History of Operations Research 1.1.2 History of Operations Research in Turkey 1.2 DEFINITION OF OPERATIONS RESEARCH 1.3 CHARACTERISTICS OF OPERATIONS RESEARCH 1.4 STAGES OF THE SCIENTIFIC METHOD Course Notes
2 2: INTRODUCTION TO LINEAR PROGRAMMING 2.1 LINEAR PROGRAMMING MODEL 2.1.1 Establishment of the Linear Programming Model 2.1.2 Assumptions of Linear Programming Course Notes
3 EXAMPLES FOR LINEAR PROGRAMMING MODELS Course Notes
4 2.2 GRAPHICAL SOLUTION 2.2.1 Finding Appropriate (Valid) Resolutions 2.2.2 Finding the Optimal Solution 2.2.3 Exceptions Encountered in a Graphical Solution Course Notes
5 3. SIMPLEX METHOD 3.1 INTRODUCTION TO THE SIMPLEX METHOD 3.2 BASIS OF THE SIMPLEX METHOD 3.3 SIMPLEX ALGORITHM 3.4 SIMPLEX TABLE Course Notes
6 3.5 EXCEPTIONS ENCOUNTERED IN THE SIMPLEX METHOD Course Notes
7 REVIEW Course Notes
8 3.6 SOLUTION OF MODELS WITH DIFFERENT LIMITATIONS 3.6.1 Large M Method 3.6.2 Two-Phase Methods Course Notes
9 4. DUALITY 4.1 FINDING THE DUALITY OF LINEAR PROGRAMMING PROBLEMS 4.2 ECONOMIC INTERPRETATION OF DUALITY 4.3 PRIMAL – DUAL RELATIONSHIP 4.4 FINDING THE OPTIMAL DUAL SOLUTION FROM THE OPTIMAL SIMPLEX TABLE Course Notes
10 4.2 ECONOMIC INTERPRETATION OF DUALITY 4.3 PRIMAL – DUAL RELATIONSHIP 4.4 FINDING THE OPTIMAL DUAL SOLUTION FROM THE OPTIMAL SIMPLEX TABLE Course Notes
11 4.5 DUAL SIMPLEX METHOD Course Notes
12 5. SOFTWARE SOLUTION 6. SENSITIVITY ANALYSIS 6.1 SENSIVITY ANALYSIS ON GRAPHICAL SOLUTION Course Notes
13 6.2 SENSITIVITY ANALYSIS ON THE SYMPLEX TABLE 6.3 SENSITIVITY ANALYSIS ON COMPUTER SOLUTION Course Notes
14 REVIEW Course Notes

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
All 3 5 5
C1 3 5 5
C2 3 5
C3 3 5 5
C4 3 5 5
C5 5
C6 3 5 5
C7 3 5 5
C8 3 5 5

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  https://obs.gedik.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=234078&curProgID=5582&lang=en