Department of Industrial Engineering

IE 355 | Course Introduction and Application Information

Course Name

Art of Mathematical Modelling

Code	Semester	Theory (hour/week)	Application/Lab (hour/week)	Local Credits	ECTS
IE 355	FALL	2	2	3	6

Prerequisites	IE 252 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 Problem solving
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

The aim of this course is to perform the development of applications of main optimization problems faced in industry by using a software tool and present the building of heuristic solution algorithms.

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	build basic mathematical models with a software tool			X
LO2	create the linear programming models of workforce planning, critical path problem, supply planning problems.				X
LO3	write logical constraints of linear programming				X
LO4	define quadratic assignment problem			X
LO5	explain the development of heuristic algorithm for the travelling salesman problem			X

Course Description

This course includes production planning, labor planning, critical path method, supply planning, quadratic assignment, travelling salesman planning problems and their modeling applications.

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	Introduction to Mathematical Modeling	Ch 3, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press	LO1
2	Development of a Basic Mathematical Model: decision variables, parameters and constraints	Ch 3, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press	LO1
3	Development of a Basic Mathematical Model: production planning model	Ch 3, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press	LO1
4	Modeling of Linear Programming Problems I: Labour planning problem	Ch 3, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press	LO2
5	Modeling of Linear Programming Problems II: critical path method Problem	Ch 8, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press	LO2
6	Modeling of Linear Programming Problems III: supply planning problem	Ch 9, Hillier, F. S., and Lieberman, G. J., Introduction to Operations Research, Tentth Edition, 2015 Mc Graw-Hill	LO2
7	Linearization of Logical Statements: integer variables	Ch 6, Sierksma, G. Linear and Integer Programming Theory and Practice, Marcel Dekker Inc. Second Edition	LO3
8	Development of Integer Programming Models : modeling the logical constraints	Ch 6-7, Sierksma, G. Linear and Integer Programming Theory and Practice, Marcel Dekker Inc. Second Edition	LO3
9	Development of Integer Programming Models: set packing, set covering and set partitioning models	Ch 6-7, Sierksma, G. Linear and Integer Programming Theory and Practice, Marcel Dekker Inc. Second Edition Ch 9, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press	LO3
10	Modelling of Quadratic Assignment Problems	Ch 11, Rardin, R. L. Optimization in Operations Research, 1998 Prentice-Hall	LO4
11	Modeling of Quadratic Assignment Problems	Ch 11, Rardin, R. L. Optimization in Operations Research, 1998 Prentice-Hall	LO4
12	Modeling of Travel Salesman Problem and Heuristic Solution Algorithm	Ch 8, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press	LO5
13	Modeling of Travel Salesman Problem and Heuristic Solution Algorithm	Ch 8, Winston, W. L., Operations Research: Applications and Algorithms, Duxbury Press	LO5
14	Project Presentations		-
15	Review of Semester		-
16	Final Exam		-

Course Notes/Textbooks

Operations Research Applications and Algorithms Wayne L. Winston Duxbury Press ISBN 0-534 20971-8
Introduction to Operations Research Frederick S. Hillier Gerald J. Lieberman Tenth Edition 2015 Mc Graw-Hill ISBN: 978-007-126767-0
Linear and Integer Programming Theory and Practice Gerard Sierksma Marcel Dekker Inc. Second Edition ISBN 978-0824706739
Optimization in Operations Research Ronald L.Rardin Prentice Hall ISBN 0-02-398415-5

Suggested Readings/Materials

Logic and Integer Programming H. Paul Williams Springer ISBN 978-0387922799
M. L. Pinedo Scheduling Theory Algorithms and Systems 2005 Springer ISBN 978-0387789347

EVALUATION SYSTEM

Semester Activities	Number	Weighting	LO1	LO2	LO3	LO4	LO5
Laboratory / Application	1	25	X	X	X	X	X
Quizzes / Studio Critiques	1	15				X
Homework / Assignments	1	15			X
Presentation / Jury	1	15					X
Project	1	30	X	X
Total	5	100

ECTS / WORKLOAD TABLE

Semester Activities	Number	Duration (Hours)	Workload
Participation	-	-	-
Theoretical Course Hours	16	2	32
Laboratory / Application Hours	16	2	32
Study Hours Out of Class	14	4	56
Field Work	-	-	-
Quizzes / Studio Critiques	1	10	10
Portfolio	-	-	-
Homework / Assignments	1	10	10
Presentation / Jury	1	10	10
Project	1	30	30
Seminar / Workshop	-	-	-
Oral Exams	-	-	-
Midterms	-	-	-
Final Exam	-	-	-
		Total	180