Course Information

Semester	Course Unit Code	Course Unit Title	T+P+L	Credit	Number of ECTS Credits
4	END224	Operations Research I	2+2+0	3	6

Course Details

Language of Instruction	Turkish
Level of Course Unit	Bachelor's Degree
Department / Program	Industrial Engineering
Mode of Delivery	Face to Face
Type of Course Unit	Compulsory
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	Taha, H. A. (2007). Operations research: an introduction.
	Taha, H. A. (2007). Operations research: an introduction.

Course Category

Engineering

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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
Assignment	2	% 10
Final examination	1	% 60
Total	4	% 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	4	56
Assignments	2	5	10
Mid-terms	1	10	10
Practice	14	2	28
Final examination	1	20	20
Total Work Load			Number of ECTS Credits 6 152

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:

No	Learning Outcomes
1	The student can construct the linear programming model.
2	Can solve linear programming models with two decision variables with the graphical solution method.
3	Can solve linear programming models with Simplex Algorithm.
4	Can solve linear programming models with different constraints with Big M and Two-Phase techniques.
5	Can construct dual models of primal linear programming models.
6	Can solve linear programming models that can be solved with the Dual Simplex algorithm.
7	Can solve linear programming models with the help of computer programs.
8	Can perform sensitivity analysis through computer program solving, graphical solution and simplex table Solutions.

Weekly Detailed Course Contents

Week	Topics	Study Materials
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	MID-TERM EXAM
9	3.6 SOLUTION OF MODELS WITH DIFFERENT LIMITATIONS 3.6.1 Large M Method 3.6.2 Two-Phase Methods	Course Notes
10	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
11	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
12	4.5 DUAL SIMPLEX METHOD	Course Notes
13	5. SOFTWARE SOLUTION 6. SENSITIVITY ANALYSIS 6.1 SENSIVITY ANALYSIS ON GRAPHICAL SOLUTION	Course Notes
14	6.2 SENSITIVITY ANALYSIS ON THE SYMPLEX TABLE 6.3 SENSITIVITY ANALYSIS ON COMPUTER SOLUTION	Course Notes
15	REVIEW	Course Notes
16	FINAL EXAM

Contribution of Learning Outcomes to Programme Outcomes

	P1	P5	P7	P8	P12
All	3	5	4	5
C1		5	4	5
C2		5	4	5
C3		5	4	5
C4		5	4	5
C5		5	4	5
C6		5	4	5
C7		5	4	5	3
C8		5	5

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https://obs.gedik.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=205004&curProgID=5582&lang=en