ENM362 Stochastic Models

4 ECTS - 3-0 Duration (T+A)- 6. Semester- 3 National Credit

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
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Doç. Dr. MELİK KOYUNCU
Course Instructor
1 2
Doç. Dr. MELİK KOYUNCU (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

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 Öğretim Yöntemleri:
Anlatım, Soru-Cevap
2 Analyzing data by statistics Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
3 Discrete probability distributions (Bernoulli,Geometric ,Poisson etc.) Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
4 Continous probability distributions (Normal, Lognormal, Weibull, Beta etc.) Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
5 Introduction to Markov Chains Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
6 transition probabilities Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
7 First passage times Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
8 Mid-Term Exam Classical exam Ölçme Yöntemleri:
Yazılı Sınav
9 Absorbing states Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
10 Introduction to queuing theory Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
11 Modelling the interarrival and service times Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
12 Distribution fitting techniques Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
13 M/M/1 , M/M/s queuing models Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
14 The queues have finite calling population and other queing models Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
15 Jackson queuing networks and Application of queuing models at the modern manufacturing systems Reading the related chapter from the textbook Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
16 Other queuing networks and Application of queuing models at the modern manufacturing systems Reading the related chapter from the textbook and classical exam Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
17 Term Exams Reading the related chapter from the textbook and classical exam Ölçme Yöntemleri:
Yazılı Sınav


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

Update Time: 13.05.2024 02:16