TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM362 |
| Name | Stochastic Models |
| Term | 2021-2022 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 | Prof. Dr. MELİK KOYUNCU |
| Course Instructor |
Prof. Dr. MELİK KOYUNCU
(Bahar)
(A Group)
(Ins. in Charge)
|
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
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Gain the use of statistical distribution |
| LO02 | Can comment the use of statistical distributions |
| LO03 | Can model the Markov Models |
| LO04 | Gain the use of Markov Models |
| LO05 | Can model the queing systems |
| LO06 | Can use the queing systems at the production systems |
| LO07 | Can solve the analytic solutions of queing networks |
| LO08 | Can apply the queing networks at the production systems |
| LO09 | Can compare the altrenative solutions by using queing systems |
| LO10 | Can make the economic analysis by using queing systems |
| LO11 | Can model the Markov decision process |
| LO12 | Can use the Markov decision process |
| LO13 | Can apply the queing systems |
| LO14 | Can apply the queing systems |
| LO15 | Can apply the queing systems |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Adequate knowledge in mathematics, science and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems. | 5 |
| PLO02 | - | An ability to identify, formulate, and solve complex industrial engineering problems; the ability to select and apply appropriate analysis and modeling methods for this purpose. | 5 |
| PLO03 | - | An ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | 5 |
| PLO04 | - | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | 5 |
| PLO05 | - | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research topics. | 5 |
| PLO06 | - | Ability to work effectively in disciplinary and multidisciplinary teams; self-study skills. | 5 |
| PLO07 | - | Ability to communicate effectively in Turkish presentation and in writing; knowledge of at least one foreign language; Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instruction and receiving skills. | 4 |
| PLO08 | - | Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and constantly renew oneself. | 4 |
| PLO09 | - | To act in accordance with ethical principles, professional and ethical responsibility awareness; information about standards used in engineering applications. | 4 |
| PLO10 | - | Information on business practices such as project management, risk management and change management; awareness about entrepreneurship and innovation; information on sustainable development. | 4 |
| PLO11 | - | Information about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems reflected in the engineering field of the age; awareness of the legal consequences of engineering solutions. | 4 |
| PLO12 | - | Ability to make use of the power of effective communication in professional life, to interpret the developments correctly and to make decisions. | 4 |
| PLO13 | - | Ability to design, develop, implement and improve integrated systems including machinery, time, information and money. | 2 |
| PLO14 | - | Ability to design, develop, implement and improve complex product, process, business, system design by applying modern design methods under realistic conditions and constraints such as cost, environment, sustainability, productivity, ethics, 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 | Term Exams | Reading the related chapter from the textbook and classical exam | |
| 17 | Term Exams | Reading the related chapter from the textbook and classical exam |
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 | 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 | ||