TÜRKÇE
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Information
| Unit | INSTITUTE OF SOCIAL SCIENCES |
| ECONOMETRICS (MASTER) (WITH THESIS) | |
| Code | IEM712 |
| Name | Operations Research II |
| Term | 2024-2025 Academic Year |
| Term | Fall and Spring |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. ERSİN KIRAL |
| Course Instructor |
Doç. Dr. ERSİN KIRAL
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
It aims to provide a foundational understanding of stochastic models and develop the ability to evaluate and improve system performance. The course also focuses on the application of PERT and CPM methods for effective planning and optimization in project management.
Course Content
The course content covers Markov chains and their analysis, examining the modeling of state transitions in systems over time. Queueing models and queuing theory are explored to evaluate system performance through various analytical methods. Within the framework of game theory, strategic decision-making processes are analyzed, focusing on determining optimal strategies in competitive environments. Network analysis is introduced to understand the structures of complex systems, and project management processes are optimized using PERT and CPM methods.
Course Precondition
no prerequisites
Resources
Öztürk, A. (2005). Yöneylem Araştırması, Ekin Kitabevi. Onuncu Baskı, Bursa.
Notes
Hillier, F. S., & Lieberman, G. J. (2015). Introduction to operations research. McGraw-Hill.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains operations research techniques |
| LO02 | Produces a mathematical model of quantitative problems encountered in social sciences by using operations research methods. |
| LO03 | Solves modeled problems. |
| LO04 | Solves operations research problems with package programs |
| LO05 | Interprets the obtained solutions. |
| LO06 | Analyzes Markov chains and probabilistic state transitions |
| LO07 | Evaluates system performance using queueing models and queuing theory. |
| LO08 | Plans project management processes using PERT and CPM methods. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explains contemporary concepts about Econometrics, Statistics, and Operation Research | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Explains relationships between acquired knowledge about Econometrics, Statistics, and Operation Research | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Explains how to apply acquired knowledge in the field to Economics, Business, and other social sciences | 5 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Performs conceptual analysis to develop solutions to problems | 3 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Models problems with Mathematics, Statistics, and Econometrics | 3 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Interprets the results obtained from the most appropriate method to predict the model | 5 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Synthesizes the information obtained by using different sources within the framework of academic rules in a field of research | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Uses acquired knowledge in the field to determine the vision, aim, and goals for an organization/institution | |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Searches for new approaches and methods to solve problems being faced | 5 |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Presents analysis results conveniently | 4 |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Collects/analyzes data in a purposeful way | 3 |
| PLO12 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Converts its findings into a master's thesis or a professional report in Turkish or a foreign language | 3 |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Develops solutions for organizations using Econometrics, Statistics, and Operation Research | 3 |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | Uses a package program/writes a new code for Econometrics, Statistics, and Operation Research | 2 |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Performs an individual work to solve a problem with Econometrics, Statistics, and Operation Research | 5 |
| PLO16 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Leads by taking responsibility individually and/or within the team | |
| PLO17 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in the field of study | 3 |
| PLO18 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Interprets the feelings, thoughts and behaviors of the related persons correctly/expresses himself/herself correctly in written and verbal form | |
| PLO19 | Yetkinlikler - Alana Özgü Yetkinlik | Interprets data on economic and social events by following current issues | 3 |
| PLO20 | Yetkinlikler - Alana Özgü Yetkinlik | Applies social, scientific and professional ethical values | 5 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Deterministic inventory models | Reading | Öğretim Yöntemleri: Anlatım |
| 2 | Stochastic inventory models | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 3 | Basic probability distributions (normal, binomial and Poisson distributions) | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Single-channel and multi-channel queuing systems | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Deterministic dynamic programming | Reading | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 6 | Modelin with Markov chains | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Decision analysis and game theory | Reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 8 | Mid-Term Exam | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Model building with simulation | Reading | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 10 | Classical optimization problems | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Unconstrained problems | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Constrained problems | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Non-linear programming algorithms | Reading | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 14 | Gradient descent algorithm | Reading | Öğretim Yöntemleri: Anlatım |
| 15 | Quadratic programming | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 50 | 20 |
| 1. Homework | 50 | 20 |
| 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 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||