Operations Research II (IE323) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Operations Research II IE323 Area Elective 3 2 0 4 8
Pre-requisite Course(s)
IE222
Course Language English
Course Type Elective Courses
Course Level Bachelor’s Degree (First Cycle)
Mode of Delivery Face To Face
Learning and Teaching Strategies Drill and Practice, Problem Solving.
Course Coordinator
Course Lecturer(s)
  • Asst. Prof. Dr. Barış YILDIZ
  • Research Assistant İrem BULANIK
Course Assistants
Course Objectives This course aims to ensure that students should have the ability to model and solve real-life problems using operations research techniques and be able to analyze results obtained with such models. Students are expected to understand the different types of models such as deterministic, stochastic, etc. and to be able to use computer programs to solve such models.
Course Learning Outcomes The students who succeeded in this course;
  • Will be able to demonstrate an understanding of the operations research modeling approaches and techniques.
  • Will be able to identify and formulate Integer Programming and Network problems; select and implement appropriate solution techniques.
  • Will be able to develop and solve Integer Programming models using appropriate software packages.
  • Will be able to demonstrate an understanding of the Project Management concept and techniques.
Course Content Modeling with integer variables; network models: model formulation, minimal spanning tree, shortest path, maximal flow problems, critical path method and program evaluation review techniques; nonlinear programming.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Introduction to Integer Programming [1] pg. 475-476
2 Modeling Approaches in Mixed Integer Programming [1] pg. 477-511
3 Modeling Approaches in Mixed Integer Programming [1] pg. 477-511
4 Modeling Approaches in Mixed Integer Programming [1] pg. 477-511
5 Branch-and-Bound Algorithm [1] pg. 512-526
6 Branch-and-Bound Algorithm [1] pg. 512-526
7 Valid Inequalities and Gomory’s Cutting Plane Algorithm, Midterm I [1] pg. 545-561, [3] pg. 113-129
8 Assignment Problem [1] pg. 393-412
9 Travelling Salesman Problem [1] pg. 530-538
10 Minimum Spanning Tree Problem, Midterm II [1] pg. 456-458
11 Minimum-Cost Network Flow Problem [1] pg. 431-449, [2] pg. 453-481
12 Shortest Path Problem [1] pg. 414-418, [2] pg. 619-633
13 CPM Project Management [1] pg. 431-449
14 Maximum-Flow Problem [1] pg. 419-430, [2] pg. 607-619
15 Introduction to Nonlinear Programming [1] pg. 610-650
16 Final Exam

Sources

Course Book 1. Winston, W.L. Operations Research: Applications and Algorithms, 4th Edition, Duxbury Press, Belmont, California, USA.
Other Sources 2. Bazaraa, M.S., Jarvis, J.J., and Sherali, H.D., Linear Programming and Network Flows, 4th Edition, John Wiley & Sons, 2010.
3. Wolsey, L.A., Integer Programming, Wiley-Interscience, 1st Edition, 1998.
4. Hillier, F.S. and Lieberman, G.J., Introduction to Operations Research, 6th Edition, McGraw-Hill, 1995.
5. Taha, H. A., Operations Research: An Introduction, Prentice Hall, 1996.

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics 7 15
Homework Assignments - -
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 50
Final Exam/Final Jury 1 35
Toplam 10 100
Percentage of Semester Work 65
Percentage of Final Work 35
Total 100

Course Category

Core Courses X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Acquires skills to use the advanced theoretical and applied knowledge obtained at the mathematics bachelors program to do further academic and scientific research in both mathematics-based graduate programs and public or private sectors.
2 Transplants and applies the theoretical and applicable knowledge gained in their field to the secondary education by using suitable tools and devices.
3 Acquires the skill of choosing, using and improving problem solving techniques which are needed for modeling and solving current problems in mathematics or related fields by using the obtained knowledge and skills.
4 Acquires analytical thinking and uses time effectively in the process of deduction.
5 Acquires basic software knowledge necessary to work in the computer science related fields and together with the skills to use information technologies effectively.
6 Obtains the ability to collect data, to analyze, interpret and use statistical methods necessary in decision making processes.
7 Acquires the level of knowledge to be able to work in the mathematics and related fields and keeps professional knowledge and skills up-to-date with awareness in the importance of lifelong learning.
8 Takes responsibility in mathematics related areas and has the ability to work affectively either individually or as a member of a team.
9 Has proficiency in English language and has the ability to communicate with colleagues and to follow the innovations in mathematics and related fields.
10 Has the ability to communicate ideas with peers supported by qualitative and quantitative data.
11 Has professional and ethical consciousness and responsibility which takes into account the universal and social dimensions in the process of data collection, interpretation, implementation and declaration of results in mathematics and its applications.

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 16 3 48
Laboratory
Application 16 2 32
Special Course Internship
Field Work
Study Hours Out of Class 16 4 64
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics 7 1 7
Prepration of Midterm Exams/Midterm Jury 2 11 22
Prepration of Final Exams/Final Jury 1 27 27
Total Workload 200