Course Detail
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| OPERATIONS RESEARCH | - | Spring Semester | 3+0 | 3 | 4 |
| Course Program |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | Turkish |
| Course Level | First Cycle (Bachelor's Degree) |
| Course Type | Required |
| Course Coordinator | Assist.Prof. Mutlu GÜRSOY |
| Name of Lecturer(s) | Assist.Prof. Mutlu GÜRSOY |
| Assistant(s) | |
| Aim | Students are aimed to have the necessary qualifications and background to be able to formulate and solve simple business decision problems using operations research techniques. |
| Course Content | This course contains; Introduction to Operations Research - Modeling and Optimization Processes,Linear Programming (LP) – Model Building ,Linear Programming – Assumptions and Solution Concept ,Linear Programming – Graphical Solution ,Linear Programming – The Simplex Method ,Linear Programming – Duality ,Linear Programming – Sensitivity Analysis ,Integer Programming ,The Transportation Problems ,The Assignment Problems , Network Optimization Models - Shortest Path and Minimum Spanning Tree Problems,Network Optimization Models - Maximum Flow and Minimum Cost Flow Problem,Project Management with CPM / PERT - Network Representation, Scheduling a Project with CPM / PERT ,Project Management with CPM / PERT - Scheduling and Controlling Project Costs, An Evaluation of CPM / PERT. |
| Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| 1. Will be able to recognize the operations research techniques for decision problems | 10, 16, 6, 9 | A, E |
| 1.1 Describe the historical background and the development of operations research | ||
| 1.2 Describe the use of modeling in decision – making processes | ||
| 1.3 Explain the principles of constrained optimization | ||
| 2. Will be able to describe linear programming methodology and its use for decision problems | 10, 16, 6, 9 | A, E |
| 2.1 Recognize the difference in applications of maximization and minimization problems | ||
| 2.2 formulate a linear programming model | ||
| 2.3 Convert one LP form to another | ||
| 3. Will be able to interpret an optimal solution of LP model | 10, 16, 6, 9 | A, E |
| 3.1 Convert any LP model from primal form to dual form | ||
| 3.2 Use the technology to solve LP problems:Solver in EXCEL | ||
| 3.3 Explain the role of sensitivity analysis. | ||
| 4. Will be able to design a simple Integer Programming model | 10, 16, 6, 9 | A, E |
| 4.1 Demonsrate the difference between LP and integer programming. | ||
| 4.2 Tell the solution concept of integer programming problems | ||
| 4.3 Distinguish the applications suitable to Integer Programming | ||
| 5. Will be able to analyse the transportation and assignment problems in a business environment | 10, 16, 6, 9 | A, E |
| 5.1 Recognize the concepts of transportation and assignment in organizations | ||
| 5.2 Design LP models for the transportation and assignment problems | ||
| 5.3 Apply the northwest corner, Vogel’s approximation, stepping-stone, and Hungarian methods | ||
| 6. Will be able to explain the relations among network models and business applications | 10, 16, 6, 9 | A, E |
| 6.1 Arrange a network while minimizing total distance using the minimal-spanning tree technique | ||
| 6.2 Calculate the maximum flow through a network using the maximal-flow technique and linear programming | ||
| 6.3 Calculate the shortest path through a network using the shortest-route technique and linear programming | ||
| 7. Will be able to explain why complex projects require planning and managing | 10, 16, 6, 9 | A, E |
| 7.1 Develop a network (CPM, PERT) diagram for a project | ||
| 7.2 incorporate time information into a network diagram and identify the critical path for a project | ||
| 7.3 incorporate uncertainty into project networks |
| Teaching Methods: | 10: Discussion Method, 16: Question - Answer Technique, 6: Experiential Learning, 9: Lecture Method |
| Assessment Methods: | A: Traditional Written Exam, E: Homework |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Introduction to Operations Research - Modeling and Optimization Processes | |
| 2 | Linear Programming (LP) – Model Building | |
| 3 | Linear Programming – Assumptions and Solution Concept | |
| 4 | Linear Programming – Graphical Solution | |
| 5 | Linear Programming – The Simplex Method | |
| 6 | Linear Programming – Duality | |
| 7 | Linear Programming – Sensitivity Analysis | |
| 8 | Integer Programming | |
| 9 | The Transportation Problems | |
| 10 | The Assignment Problems | |
| 11 | Network Optimization Models - Shortest Path and Minimum Spanning Tree Problems | |
| 12 | Network Optimization Models - Maximum Flow and Minimum Cost Flow Problem | |
| 13 | Project Management with CPM / PERT - Network Representation, Scheduling a Project with CPM / PERT | |
| 14 | Project Management with CPM / PERT - Scheduling and Controlling Project Costs, An Evaluation of CPM / PERT |
| Resources |
| Lecture notes |
| (1) Özkan, Şule (2012), Yöneylem Araştırması: Nicel Karar Teknikleri, 3. Baskı, Nobel yayıncılık. (2) Taha, Hamdi A. (2016), Yöneylem Araştırması, 6.Basımdan çeviri, Çeviri: Ş.A.Baray , Ş.Esnaf, Literatür Yayıncılık (3) Hillier, F.S. & Lieberman, G.J. (2010), Introduction to Operations Research, Ninth Edition, McGrawHill |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Defines the theoretical issues in the field of information and management. | X | |||||
| 2 | Describes the necessary mathematical and statistical methods in the field of information and management. | X | |||||
| 3 | Uses at least one computer program in the field of information and management. | X | |||||
| 4 | Sustains proficiency in a foreign language requiredor information and management studies. | ||||||
| 5 | Prepares informatics/software projects and work in a team. | ||||||
| 6 | Constantly updates himself / herself by following developments in science and technology with an understanding of the importance of lifelong learning through critically evaluating the knowledge and skills that s/he has got.7. Uses theoretical and practical expertise in the field of information and management | ||||||
| 7 | Follows up-to-date technology using a foreign language at least A1 level, holds verbal / written communication skills. | X | |||||
| 8 | Follows up-to-date technology using a foreign language at least A1 level, holds verbal / written communication. | ||||||
| 9 | Adopts organizational / institutional and social ethical values. | ||||||
| 10 | Within the framework of community involvement adopts social responsibility principles and takes initiative when necessary. | ||||||
| 11 | Uses and analyses basic facts and data in various disciplines (economics, finance, sociology, law, business) in order to conduct interdisciplinary studies. | X | |||||
| 12 | Writes software in different platforms such as desktop, mobile, web on its own and / or in a team. | ||||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 20 | |
| Rate of Final Exam to Success | 80 | |
| Total | 100 | |
| ECTS / Workload Table | ||||||
| Activities | Number of | Duration(Hour) | Total Workload(Hour) | |||
| Course Hours | 14 | 2 | 28 | |||
| Guided Problem Solving | 14 | 3 | 42 | |||
| Resolution of Homework Problems and Submission as a Report | 0 | 0 | 0 | |||
| Term Project | 0 | 0 | 0 | |||
| Presentation of Project / Seminar | 0 | 0 | 0 | |||
| Quiz | 2 | 6 | 12 | |||
| Midterm Exam | 1 | 21 | 21 | |||
| General Exam | 1 | 31 | 31 | |||
| Performance Task, Maintenance Plan | 0 | 0 | 0 | |||
| Total Workload(Hour) | 134 | |||||
| Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(134/30) | 4 | |||||
| ECTS of the course: 30 hours of work is counted as 1 ECTS credit. | ||||||
Detail Informations of the Course
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| OPERATIONS RESEARCH | - | Spring Semester | 3+0 | 3 | 4 |
| Course Program |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | Turkish |
| Course Level | First Cycle (Bachelor's Degree) |
| Course Type | Required |
| Course Coordinator | Assist.Prof. Mutlu GÜRSOY |
| Name of Lecturer(s) | Assist.Prof. Mutlu GÜRSOY |
| Assistant(s) | |
| Aim | Students are aimed to have the necessary qualifications and background to be able to formulate and solve simple business decision problems using operations research techniques. |
| Course Content | This course contains; Introduction to Operations Research - Modeling and Optimization Processes,Linear Programming (LP) – Model Building ,Linear Programming – Assumptions and Solution Concept ,Linear Programming – Graphical Solution ,Linear Programming – The Simplex Method ,Linear Programming – Duality ,Linear Programming – Sensitivity Analysis ,Integer Programming ,The Transportation Problems ,The Assignment Problems , Network Optimization Models - Shortest Path and Minimum Spanning Tree Problems,Network Optimization Models - Maximum Flow and Minimum Cost Flow Problem,Project Management with CPM / PERT - Network Representation, Scheduling a Project with CPM / PERT ,Project Management with CPM / PERT - Scheduling and Controlling Project Costs, An Evaluation of CPM / PERT. |
| Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| 1. Will be able to recognize the operations research techniques for decision problems | 10, 16, 6, 9 | A, E |
| 1.1 Describe the historical background and the development of operations research | ||
| 1.2 Describe the use of modeling in decision – making processes | ||
| 1.3 Explain the principles of constrained optimization | ||
| 2. Will be able to describe linear programming methodology and its use for decision problems | 10, 16, 6, 9 | A, E |
| 2.1 Recognize the difference in applications of maximization and minimization problems | ||
| 2.2 formulate a linear programming model | ||
| 2.3 Convert one LP form to another | ||
| 3. Will be able to interpret an optimal solution of LP model | 10, 16, 6, 9 | A, E |
| 3.1 Convert any LP model from primal form to dual form | ||
| 3.2 Use the technology to solve LP problems:Solver in EXCEL | ||
| 3.3 Explain the role of sensitivity analysis. | ||
| 4. Will be able to design a simple Integer Programming model | 10, 16, 6, 9 | A, E |
| 4.1 Demonsrate the difference between LP and integer programming. | ||
| 4.2 Tell the solution concept of integer programming problems | ||
| 4.3 Distinguish the applications suitable to Integer Programming | ||
| 5. Will be able to analyse the transportation and assignment problems in a business environment | 10, 16, 6, 9 | A, E |
| 5.1 Recognize the concepts of transportation and assignment in organizations | ||
| 5.2 Design LP models for the transportation and assignment problems | ||
| 5.3 Apply the northwest corner, Vogel’s approximation, stepping-stone, and Hungarian methods | ||
| 6. Will be able to explain the relations among network models and business applications | 10, 16, 6, 9 | A, E |
| 6.1 Arrange a network while minimizing total distance using the minimal-spanning tree technique | ||
| 6.2 Calculate the maximum flow through a network using the maximal-flow technique and linear programming | ||
| 6.3 Calculate the shortest path through a network using the shortest-route technique and linear programming | ||
| 7. Will be able to explain why complex projects require planning and managing | 10, 16, 6, 9 | A, E |
| 7.1 Develop a network (CPM, PERT) diagram for a project | ||
| 7.2 incorporate time information into a network diagram and identify the critical path for a project | ||
| 7.3 incorporate uncertainty into project networks |
| Teaching Methods: | 10: Discussion Method, 16: Question - Answer Technique, 6: Experiential Learning, 9: Lecture Method |
| Assessment Methods: | A: Traditional Written Exam, E: Homework |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Introduction to Operations Research - Modeling and Optimization Processes | |
| 2 | Linear Programming (LP) – Model Building | |
| 3 | Linear Programming – Assumptions and Solution Concept | |
| 4 | Linear Programming – Graphical Solution | |
| 5 | Linear Programming – The Simplex Method | |
| 6 | Linear Programming – Duality | |
| 7 | Linear Programming – Sensitivity Analysis | |
| 8 | Integer Programming | |
| 9 | The Transportation Problems | |
| 10 | The Assignment Problems | |
| 11 | Network Optimization Models - Shortest Path and Minimum Spanning Tree Problems | |
| 12 | Network Optimization Models - Maximum Flow and Minimum Cost Flow Problem | |
| 13 | Project Management with CPM / PERT - Network Representation, Scheduling a Project with CPM / PERT | |
| 14 | Project Management with CPM / PERT - Scheduling and Controlling Project Costs, An Evaluation of CPM / PERT |
| Resources |
| Lecture notes |
| (1) Özkan, Şule (2012), Yöneylem Araştırması: Nicel Karar Teknikleri, 3. Baskı, Nobel yayıncılık. (2) Taha, Hamdi A. (2016), Yöneylem Araştırması, 6.Basımdan çeviri, Çeviri: Ş.A.Baray , Ş.Esnaf, Literatür Yayıncılık (3) Hillier, F.S. & Lieberman, G.J. (2010), Introduction to Operations Research, Ninth Edition, McGrawHill |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Defines the theoretical issues in the field of information and management. | X | |||||
| 2 | Describes the necessary mathematical and statistical methods in the field of information and management. | X | |||||
| 3 | Uses at least one computer program in the field of information and management. | X | |||||
| 4 | Sustains proficiency in a foreign language requiredor information and management studies. | ||||||
| 5 | Prepares informatics/software projects and work in a team. | ||||||
| 6 | Constantly updates himself / herself by following developments in science and technology with an understanding of the importance of lifelong learning through critically evaluating the knowledge and skills that s/he has got.7. Uses theoretical and practical expertise in the field of information and management | ||||||
| 7 | Follows up-to-date technology using a foreign language at least A1 level, holds verbal / written communication skills. | X | |||||
| 8 | Follows up-to-date technology using a foreign language at least A1 level, holds verbal / written communication. | ||||||
| 9 | Adopts organizational / institutional and social ethical values. | ||||||
| 10 | Within the framework of community involvement adopts social responsibility principles and takes initiative when necessary. | ||||||
| 11 | Uses and analyses basic facts and data in various disciplines (economics, finance, sociology, law, business) in order to conduct interdisciplinary studies. | X | |||||
| 12 | Writes software in different platforms such as desktop, mobile, web on its own and / or in a team. | ||||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 20 | |
| Rate of Final Exam to Success | 80 | |
| Total | 100 | |