Department of Industrial Engineering

IE 338 | Course Introduction and Application Information

Course Name

Stochastic Models in Manufacturing Systems

Code	Semester	Theory (hour/week)	Application/Lab (hour/week)	Local Credits	ECTS
IE 338	FALL	3	0	3	6

Prerequisites	IE 353 To be successful (To have received at least DD grade)
Course Language	English
Course Type	ELECTIVE_COURSE
Course Level	First Cycle
Mode of Delivery	Face-To-Face
Teaching Methods and Techniques of the Course	Lecture/Presentation
National Occupational Classification Code	-
Course Coordinator	Dr. Öğr. Üyesi Kamil Erkan Kabak
Course Lecturer(s)	Dr. Öğr. Üyesi Kamil Erkan Kabak
Assistant(s)	-

Course Objectives

This course aims to equip students with the ability to model uncertainties and random events in manufacturing processes; to understand the random variables and processes that affect the performance of manufacturing systems; to use appropriate mathematical modeling techniques for analyzing and improving these systems; and to interpret the results obtained using various performance metrics in order to make decisions related to system design and operations.

Learning Outcomes

The students who succeeded in this course;

Name	Description	PC Sub	* Contribution Level
Name	Description	PC Sub	1	2	3	4	5
LO1	Students will be able to explain the role of probability theory and Markov processes in manufacturing systems.				X
LO2	Students will be able to use the M/M/1 queue model to model waiting times and process flows in manufacturing systems.				X
LO3	Students will be able to model transfer lines with fixed processing times.				X
LO4	Students will be able to model transfer lines with random processing times.				X
LO5	Students will be able to compare the performance of production lines using long line optimization and random long line models.				X

Course Description

Markov processes, M/M/1 queue models, transfer lines with two or more machines having different processing times, long lines, and random long lines.

Related Sustainable Development Goals

Course Category	Core Courses
	Major Area Courses	X
	Supportive Courses
	Media and Managment Skills Courses
	Transferable Skill Courses

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week	Subjects	Required Materials	Learning Outcome
1	Probability Theory Review	Li, J., Meerkov, S. M., and Zhang, L. (2010). Chp 1	LO1
2	Markov Chains and Processes	Buzacott, J.A and Shanthikumar, J. G. (1993) Chp 3	LO1
3	M/M/1 Queueing Models	Buzacott, J.A and Shanthikumar, J. G. (1993) Chp 3	LO2
4	Transfer Lines Models and Bounds	Gershwin, Stanley B. (1993) Chp 2	LO3
5	Transfer Lines Models and Bounds	Gershwin, Stanley B. (1993) Chp 2	LO3
6	Deterministic Processing Time Transfer Line – 2 Machine	Gershwin, Stanley B. (1993) Chp 2	LO3
7	Deterministic Processing Time Transfer Line – 2 Machine	Gershwin, Stanley B. (1993) Chp 2	LO3
8	Midterm Exam		-
9	Exponential Processing Time Transfer Line – 2 Machine	Gershwin, Stanley B. (1993) Başlık 3, Buzacott, J.A and Shanthikumar, J. G. (1993) Başlık 3, Li, J., Meerkov, S. M., and Zhang, L. (2010). Başlık 3	LO4
10	Exponential Processing Time Transfer Line – 2 Machine	Gershwin, Stanley B. (1993) Başlık 3, Buzacott, J.A and Shanthikumar, J. G. (1993) Başlık 3, Li, J., Meerkov, S. M., and Zhang, L. (2010). Başlık 3	LO4
11	Deterministic Processing Time Transfer Line – Many Machines	Gershwin, Stanley B. (1993) Başlık 3, Buzacott, J.A and Shanthikumar, J. G. (1993) Başlık 3,	LO4
12	Sabit İşlem Zamanlı Transfer Hatları – Uzun Hat Optimizasyonu	Gershwin, Stanley B. (1993) Başlık 3, Buzacott, J.A and Shanthikumar, J. G. (1993) Başlık 3,	LO5
13	Stochastic Long Lines	Gershwin, Stanley B. (1993) Başlık 3, Buzacott, J.A and Shanthikumar, J. G. (1993) Başlık 3, Li, J., Meerkov, S. M., and Zhang, L. (2010). Başlık 3	LO5
14	Stochastic Long Lines	Gershwin, Stanley B. (1993) Başlık 3, Buzacott, J.A and Shanthikumar, J. G. (1993) Başlık 3, Li, J., Meerkov, S. M., and Zhang, L. (2010). Başlık 3	LO5
15	Review		-
16	Final Exam		-

Course Notes/Textbooks	Gershwin S. B. (1993). Manufacturing Systems Engineering. PTR Prentice Hall Buzacott J. A and Shanthikumar J. G. (1993). Stochastic models of manufacturing systems Li J. & Meerkov S. (2010). Production Systems Engineering. Springer.
Suggested Readings/Materials	-

EVALUATION SYSTEM

Semester Activities	Number	Weighting	LO1	LO2	LO3	LO4	LO5
Homework / Assignments	2	20	X	X	X	X	X
Project	1	20	X	X	X	X	X
Midterm	1	25	X	X	X	X	X
Final Exam	1	35	X	X	X	X	X
Total	5	100

ECTS / WORKLOAD TABLE

Semester Activities	Number	Duration (Hours)	Workload
Participation	-	-	-
Theoretical Course Hours	16	3	48
Laboratory / Application Hours	-	-	-
Study Hours Out of Class	14	3	42
Field Work	-	-	-
Quizzes / Studio Critiques	-	-	-
Portfolio	-	-	-
Homework / Assignments	2	10	20
Presentation / Jury	-	-	-
Project	1	20	20
Seminar / Workshop	-	-	-
Oral Exams	-	-	-
Midterms	1	20	20
Final Exam	1	30	30
		Total	180