Operational Research (G261)
| Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| G261 | Operational Research | 3 | 3 | 0 | 0 | 3 | 5 |
| Prerequisites | |
| Admission Requirements |
| Language of Instruction | Turkish |
| Course Type | Compulsory |
| Course Level | Bachelor Degree |
| Course Instructor(s) | Orhan FEYZİOĞLU ofeyzioglu@gsu.edu.tr (Email) |
| Assistant | |
| Objective |
Operations research aims to apply scientific approaches in order to design and manage systems with scarce resources. This course, which is compulsory in the curriculum, enables students to provide the optimal solution to the problems encountered in an organization. The material will prove useful for improving and optimizing the performance of an organization. In this context, the aims of this course are as follows: • Formulating mathematical models for real world problems. • Introducing the solution methods for mathematical programming models. • Examining the validity of the models and interpreting the obtained results. |
| Content | Introduction to linear programming and graphical solution method, Example problems for linear programming, Simplex method, Two-phase simplex method, Special cases for simplex method, Sensitivity analysis, Assignment problem and Hungarian algorithm, Transportation problem and transportation simplex algorithm |
| Course Learning Outcomes |
Upon successful completion of this course, the student should acquire the following knowledge and skills: 1. Formulate linear programming models. 2. Calculate solutions to linear programming problems with simplex method. 3. Detect special cases arising during the application of the simplex method. 4. Calculate the effects of the change in model parameters on the optimal results. 5. Calculate the optimal solutions of transportation problems. 6. Calculate the optimal solutions of assignment problems. |
| Teaching and Learning Methods |
Lecture Question-answer |
| References |
1. Hillier, F.S., Lieberman, G.J., “Introduction to Mathematical Programming”, McGraw-Hill, 1995. 2. Bazaraa, M.S., Jarvis, J.J., Sherali, H.D., “Linear Programming and Network Flows”, John Wiley & Sons, 1990. 3. Taha, H.A., “Operations Research: An Introduction”, Sixth edition, Prentice-Hall, 1997. |
Theory Topics
| Week | Weekly Contents |
|---|---|
| 1 | Introduction to linear programming and graphical solution method |
| 2 | Example problems for linear programming |
| 3 | Example problems for linear programming |
| 4 | Simplex method |
| 5 | Simplex method |
| 6 | Two-phase simplex method |
| 7 | Special cases for simplex method |
| 8 | Special cases for simplex method |
| 9 | Midterm |
| 10 | Sensitivity analysis |
| 11 | Sensitivity analysis |
| 12 | Assignment problem and Hungarian algorithm |
| 13 | Transportation problem and transportation simplex algorithm |
| 14 | Transportation problem and transportation simplex algorithm |
Practice Topics
| Week | Weekly Contents |
|---|
Contribution to Overall Grade
| Number | Contribution | |
|---|---|---|
| Contribution of in-term studies to overall grade | 5 | 55 |
| Contribution of final exam to overall grade | 1 | 45 |
| Toplam | 6 | 100 |
In-Term Studies
| Number | Contribution | |
|---|---|---|
| Assignments | 0 | 0 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 2 | 40 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 3 | 15 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Toplam | 5 | 55 |
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | The acquisition of high-level knowledge of the functions of production management and marketing, management, accounting and finance; the skill of using this knowledge. | X | ||||
| 2 | The acquisition of basic conceptual knowledge about scientific fields related to professional life, such as law, economics, sociology, psychology, social psychology and quantitative methods. | X | ||||
| 3 | The ability to work effectively in a team; the ability to pass on knowledge to other members of the team. | |||||
| 4 | The competence to use his/her knowledge on the field, to analyze and interpret the data obtained, to identify the problems encountered, to provide appropriate solutions and scientifically defend these solution suggestions when necessary. | X | ||||
| 5 | The competence to determine the aims and objectives of the company or institution in which he/she is employed by taking into account the needs, the competitive dynamics of the market and by calculating the risks incurred; the ability to engage in entrepreneurship and establish and manage a business. | |||||
| 6 | Awareness of constantly updating his/her professional knowledge and skills; the ability to adapt to change and innovation; the competence to evaluate critically the information he/she has acquired. | X | ||||
| 7 | Basic knowledge of information and communication technologies required for professional life; the ability to use core office programs at an advanced level; expertise in data processing and report writing in the IT environment. | X | ||||
| 8 | Ability to follow current information in his/her field in both English and French and to communicate in writing and verbally with stakeholders in both languages. | |||||
| 9 | The ability to conduct researches and studies taking into account the market, dynamics of competition, organizational and global factors and scientific methods; contribute to projects, take responsibility in projects, display competence to make innovative and effective decisions. | X | ||||
| 10 | Ability to develop strategies, find creative solutions to management problems by building relations with other areas of the social sciences and take the responsibility of these decisions. | X | ||||
| 11 | Consciousness of taking into account ethical values, when making decisions and being involved in business life. | X | ||||
| 12 | Awareness of the impact of practices related to his/her field on the global and social dimensions (universality of social rights, social justice, cultural values, environmental problems, sustainability, etc.) and their legal consequences. | |||||
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 12 | 3 | 36 |
| Working Hours out of Class | 14 | 2 | 28 |
| Midterm Examinations (including preparation) | 2 | 10 | 20 |
| Final Examinations (including preparation) | 1 | 15 | 15 |
| Quiz | 3 | 5 | 15 |
| Total Workload | 114 | ||
| Total Workload / 25 | 4.56 | ||
| Credits ECTS | 5 | ||