TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| STATISTICS PR. | |
| Code | ISB221 |
| Name | Optimization Techniques - I |
| Term | 2020-2021 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Uzaktan Öğretim |
| Catalog Information Coordinator | Doç. Dr. NİMET ÖZBAY |
| Course Instructor |
Doç. Dr. NİMET ÖZBAY
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To establish a model for Linear Programming Problems and established methods to solve a variety of models, to solve Dual model , to learn Transportation models
Course Content
Hyperplanes, convex sets, introduction to Linear Programming Problem (LPP), geometric solutions, the simplex method, duality, relations between the primal and dual problems, the dual simplex method, sensitivity analysis, transportation problem, assignment problem.
Course Precondition
Yok
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Describes the properties of the DP problem |
| LO02 | Builds model, uses a graphical and analytical methods of solution |
| LO03 | Use the Simplex Solution Method |
| LO04 | Distinguish the difference Simplex method between the two-phase method |
| LO05 | Uses the Two-Phase Method |
| LO06 | Uses Big M Method |
| LO07 | Write Dual of the linear model , distinguishes the relationship between the original and the Dual models Solutions |
| LO08 | Apply Dual Simplex Method |
| LO09 | Write Balanced and unbalanced transportation model, apply the methods of solution |
| LO10 | Use Package in solving models |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics | 3 |
| PLO02 | - | Emphasize the importance of Statistics in life | 4 |
| PLO03 | - | Define basic principles and concepts in the field of Law and Economics | 0 |
| PLO04 | - | Produce numeric and statistical solutions in order to overcome the problems | 3 |
| PLO05 | - | Use proper methods and techniques to gather and/or to arrange the data | 2 |
| PLO06 | - | Utilize computer systems and softwares | 4 |
| PLO07 | - | Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events | 5 |
| PLO08 | - | Apply the statistical analyze methods | 3 |
| PLO09 | - | Make statistical inference(estimation, hypothesis tests etc.) | 2 |
| PLO10 | - | Generate solutions for the problems in other disciplines by using statistical techniques | 2 |
| PLO11 | - | Discover the visual, database and web programming techniques and posses the ability of writing programme | 0 |
| PLO12 | - | Construct a model and analyze it by using statistical packages | 4 |
| PLO13 | - | Distinguish the difference between the statistical methods | 3 |
| PLO14 | - | Be aware of the interaction between the disciplines related to statistics | 4 |
| PLO15 | - | Make oral and visual presentation for the results of statistical methods | 3 |
| PLO16 | - | Have capability on effective and productive work in a group and individually | 3 |
| PLO17 | - | Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs | 1 |
| PLO18 | - | Develop scientific and ethical values in the fields of statistics-and scientific data collection | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definitions with DP , Examples, and Model Building on DP | Source reading | |
| 2 | Hyper Planes, Convex Sets, Convex Linear Functions on Sets | Source reading | |
| 3 | Graphical Solution Methods | Source reading | |
| 4 | Gauss Jordan Reduction, the canonical form for DPP | Source reading | |
| 5 | Analytical Solution | Source reading | |
| 6 | Simplex Solution Method | Source reading | |
| 7 | Two-Phase Method (First phase) | Source reading | |
| 8 | Mid-Term Exam | Review the topics discussed in the lecture notes and sources | |
| 9 | Two-Phase Method (Two phase) | Source reading | |
| 10 | Big M method | Source reading | |
| 11 | The dual of the linear model, Relationships the original models and Dual Between Solutions | Source reading | |
| 12 | Dual Simplex Method | Source reading | |
| 13 | Transportation Model, Solution Methods | Source reading | |
| 14 | to take advantage of the package programs that the solution of Models | Source reading | |
| 15 | Problem solving | Source reading | |
| 16 | Term Exams | Review the topics discussed in the lecture notes and sources | |
| 17 | Term Exams | Review the topics discussed in the lecture notes and sources |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||