TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Doctorate Of Science
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	10
NAME OF LECTURER(S)	Professor İmdat Kara
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Learning the basics of the theory of Markov chains 2) Learning the Little formulation and applications 3) an ability to analyze and identify the models and the status of Markov chains 4) an ability to apply the selected applications of Markov chains 5) an ability to design and analysis of priority queuing systems
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	Characteristics of queuing systems, birth and death processes. Single or multi-service queuing models with or without Markov property (M/M/1, M/M/c, G/M/c, M/G/1). Steady-state analysis. The optimal control of queues. Queue Networks. The applications of queuing theory on Manufacturing and computer systems.
COURSE CONTENTS	WEEK TOPICS 1st Week Classification of Queing systems 2nd Week Markov processes into discrete and continuous time 3rd Week Birth and death processes 4th Week Markov M/M/k/m queing systems 5th Week The Little's formulation 6th Week Cumulative arrivals and service systems 7th Week Non-Markov queing systems 8th Week Midterm 9th Week Semi-Markov processes 10th Week M/G/1 system 11th Week G/M/1 and G/G/1 systems 12th Week Queing networks of Jackson's type 13th Week Balance equations, Stationary distribution 14th Week Case studies
RECOMENDED OR REQUIRED READING
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers,Problem Solving,Practice,Presentation
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 25 Assignment 4 20 Attendance 1 10 Presentation of Article 1 20 Total(%) 75 Contribution of In-term Studies to Overall Grade(%) 75 Contribution of Final Examination to Overall Grade(%) 25 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 2 2 Preparation for Quiz Individual or group work 14 11 154 Preparation for Final exam 1 20 20 Course hours 14 3 42 Preparation for Midterm exam 1 20 20 Laboratory (including preparation) Final exam 1 2 2 Homework 5 14 70 Total Workload 310 Total Workload / 30 10,33 ECTS Credits of the Course 10
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No