Have the ability to understand the basic concepts and principles of linear programming.
Model the industrial engineering problems.
Have the ability to apply operational research methods to solve the decison models.
Have the ability to use the related softwares and to interpret the results obtained.
Mode of Delivery
Face to face
Prerequisites
Yes(MAT210)
Recommended Optional Programme Components
None
Course Description
Origins of Operations Research. Systems approach, interdisciplinary research and the scientific method. Fundamentals and the theory of linear programming. The Simplex algorithm, big-M and two-phase Simplex method. Duality and sensitivity analysis. Transportation and assignment problems; shortest path, minimum spanning tree and minimum cost flow models.
Course Contents
WEEK
TOPICS
1st Week
Operations Research: Methods of Operations Research
2nd Week
Decision Making and Decision Models
3rd Week
The Generic Form of a Linear Program and Basic Definitions
4th Week
The Basics of Linear Programming and Solution Approaches
5th Week
The Basics of the Simplex Algorithm
6th Week
The Operations of the Simplex Algorithm
7th Week
Big M ve Two Phase Simplex Algorithms
8th Week
Midterm Exam
9th Week
Duality in linear programming
10th Week
Dual Simplex Algorithm
11th Week
Sensitivity Analysis I
12th Week
Sensitivity Analysis II
13th Week
Transportation Models
14th Week
Assignment Models
Recommended or Required Reading
Kara, İ. (2000) Doğrusal Programlama, Bilim Teknik Yayınevi;
Winston, W.L. (1994) Operations Research: Applications and Algorithms, Duxbury Press.
Planned Learning Activities and Teaching Methods
Presentation
Lecture
Other
Assessment Methods and Criteria
Quantity
Percentage (%)
Mid-term
1
35
Quiz
1
30
Practice
1
10
Attendance
1
5
Total(%)
80
Contribution of In-term Studies to Overall Grade(%)
80
Contribution of Final Examination to Overall Grade(%)