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Information
| Code | ENM362 |
| Name | Stochastic Models |
| Term | 2024-2025 Academic Year |
| Semester | 6. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. MELİK KOYUNCU |
| Course Instructor |
1 2 |
Course Goal / Objective
To develop the operations research knowledge and skills by using stochastic model techniques
Course Content
Basic statistical concepts, Introduction to queuing systems, M/M/1,M/M/s and the other queue models,queuing networks, Markov chains and its applications
Course Precondition
None
Resources
Hillier and Lieberman. Introduction to Operations Research.7th Edition. McGraw Hill Highered Education
Notes
Winston WAYNE. Introduction to Operations Research.4th Edition. Thomson Publications
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Gain the use of statistical distribution |
| LO02 | Can model the Markov Models |
| LO03 | Can model the queing systems |
| LO04 | Can use the queing systems at the production systems |
| LO05 | Can solve the analytic solutions of queing networks |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient knowledge of mathematics, science and related engineering disciplines; can use the theoretical and applied knowledge in these fields in complex engineering problems. | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquire the ability to identify, define, formulate and solve complex Industrial Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; can apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Develops modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications, and has the ability to use information technologies effectively. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Have the ability to design experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Have the ability to work effectively in disciplinary and multi-disciplinary teams or individually. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Ability to communicate effectively in Turkish orally and in writing; knowledge of at least one foreign language; have the ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Have the awareness of the necessity of lifelong learning; can follow the developments in science and technology and have the ability to constantly renew themselves. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acts in accordance with ethical principles, has knowledge about the standards used in engineering applications with the awareness of professional and ethical responsibility. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Gain knowledge of business practices such as project management, risk management and change management; become aware of entrepreneurship and innovation. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Gains knowledge about the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering and has awareness of the legal consequences of engineering solutions. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | They can benefit from the power of effective communication in their professional life and have the ability to interpret developments correctly. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve integrated systems involving machine, time, information and money. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve complex products, processes, businesses, systems by applying modern design methods, under realistic conditions and constraints such as cost, environment, sustainability, manufacturability, ethical, health, safety and political issues. | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | The role of probability and statistics at the Stochastic models | Reading the related chapter from the textbook | |
| 2 | Analyzing data by statistics | Reading the related chapter from the textbook | |
| 3 | Discrete probability distributions (Bernoulli,Geometric ,Poisson etc.) | Reading the related chapter from the textbook | |
| 4 | Continous probability distributions (Normal, Lognormal, Weibull, Beta etc.) | Reading the related chapter from the textbook | |
| 5 | Introduction to Markov Chains | Reading the related chapter from the textbook | |
| 6 | transition probabilities | Reading the related chapter from the textbook | |
| 7 | First passage times | Reading the related chapter from the textbook | |
| 8 | Mid-Term Exam | Classical exam | |
| 9 | Absorbing states | Reading the related chapter from the textbook | |
| 10 | Introduction to queuing theory | Reading the related chapter from the textbook | |
| 11 | Modelling the interarrival and service times | Reading the related chapter from the textbook | |
| 12 | Distribution fitting techniques | Reading the related chapter from the textbook | |
| 13 | M/M/1 , M/M/s queuing models | Reading the related chapter from the textbook | |
| 14 | The queues have finite calling population and other queing models | Reading the related chapter from the textbook | |
| 15 | Jackson queuing networks and Application of queuing models at the modern manufacturing systems | Reading the related chapter from the textbook | |
| 16 | Other queuing networks and Application of queuing models at the modern manufacturing systems | Reading the related chapter from the textbook and classical exam | |
| 17 | Term Exams | Reading the related chapter from the textbook and classical exam |
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 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 13 | 13 |
| Final Exam | 1 | 17 | 17 |
| Total Workload (Hour) | 100 | ||
| Total Workload / 25 (h) | 4,00 | ||
| ECTS | 4 ECTS | ||