Endüstri Mühendisliği

IE 355 | Ders Tanıtım Bilgileri

Dersin Adı

Art of Mathematical Modelling

Kodu	Yarıyıl	Teori (saat/hafta)	Uygulama/Lab (saat/hafta)	Yerel Kredi	AKTS
IE 355	FALL	2	2	3	6

Ön-Koşul(lar)	IE 252 To be successful (To have received at least DD grade)
Dersin Dili	English
Dersin Türü	ELECTIVE_COURSE
Dersin Düzeyi	Lisans
Dersin Veriliş Şekli	Face-To-Face
Dersin Öğretim Yöntem ve Teknikleri	Lecture / Presentation Problem solving
Ulusal Meslek Sınıflandırma Kodu	-
Dersin Koordinatörü	Dr. Öğr. Üyesi Kamil Erkan Kabak
Öğretim Eleman(lar)ı	Dr. Öğr. Üyesi Kamil Erkan Kabak
Yardımcı(ları)	-

Dersin Amacı

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.

Öğrenme Çıktıları

Bu dersi başarıyla tamamlayabilen öğrenciler;

Ad	Açıklama	PC Alt	* Katkı Düzeyi
Ad	Açıklama	PC Alt	1	2	3	4	5
LO1	build basic mathematical models with a software tool	5.3		X
LO2	create the linear programming models of workforce planning, critical path problem, supply planning problems.	4			X
LO3	write logical constraints of linear programming	2			X
LO4	define quadratic assignment problem	2		X
LO5	explain the development of heuristic algorithm for the travelling salesman problem	4		X

Ders Tanımı

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

Dersin İlişkili Olduğu Sürdürülebilir Kalkınma Amaçları

Dersin Kategorisi	Temel Ders
	Uzmanlık/Alan Dersleri	X
	Destek Dersleri
	İletişim ve Yönetim Becerileri Dersleri
	Aktarılabilir Beceri Dersleri

HAFTALIK KONULAR VE İLGİLİ ÖN HAZIRLIK ÇALIŞMALARI

Hafta	Konular	Ön Hazırlık	Öğrenme Çıktısı
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		-

Ders Kitabı

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

Önerilen Okumalar/Materyaller

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

DEĞERLENDİRME ÖLÇÜTLERİ

Yarıyıl Aktiviteleri	Sayı	Katkı Payı %	LO1	LO2	LO3	LO4	LO5
Laboratuvar / Uygulama	1	25	X	X	X	X	X
Küçük Sınav / Stüdyo Kritiği	1	15				X
Ödev	1	15			X
Sunum / Jüri Önünde Sunum	1	15					X
Proje	1	30	X	X
Toplam	5	100

AKTS / İŞ YÜKÜ TABLOSU

Yarıyıl Aktiviteleri	Sayı	Süre (Saat)	İş Yükü
Katılım	-	-	-
Teorik Ders Saati	16	2	32
Laboratuvar / Uygulama Ders Saati	16	2	32
Sınıf Dışı Ders Çalışması	14	4	56
Arazi Çalışması	-	-	-
Küçük Sınav / Stüdyo Kritiği	1	10	10
Portfolyo	-	-	-
Ödev	1	10	10
Sunum / Jüri Önünde Sunum	1	10	10
Proje	1	30	30
Seminer/Çalıştay	-	-	-
Sözlü Sınav	-	-	-
Ara Sınavlar	-	-	-
Final Sınavı	-	-	-
		Toplam	180

DERSİN ÖĞRENME ÇIKTILARININ PROGRAM YETERLİLİKLERİ İLE İLİŞKİSİ

#	PC Alt	Program Yeterlilikleri / Çıktıları	* Katkı Düzeyi
#	PC Alt	Program Yeterlilikleri / Çıktıları	1	2	3	4	5
1	Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computation, and related engineering discipline-specific topics; the ability to apply this knowledge to solve complex engineering problems.
	1	Mathematics
	2	Science
	3	Basic Engineering
	4	Computation
	5	Related engineering discipline-specific topics
	6	The ability to apply this knowledge to solve complex engineering problems
2	Problem Analysis: Ability to identify, formulate and analyze complex engineering problems using basic knowledge of science, mathematics and engineering, and considering the UN Sustainable Development Goals relevant to the problem being addressed.			LO4	LO3
3	Engineering Design: The ability to devise creative solutions to complex engineering problems; the ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions.
	1	Ability to design creative solutions to complex engineering problems
	2	Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions
4	Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while recognizing their limitations.			LO5	LO2
5	Research and Investigation: Ability to use research methods to investigate complex engineering problems, including literature research, designing and conducting experiments, collecting data, and analyzing and interpreting results.
	1	Literature research for the study of complex engineering problems
	2	Designing experiments
	3	Ability to use research methods, including conducting experiments, collecting data. analyzing and interpreting results		LO1
6	Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals; awareness of the legal implications of engineering solutions.
	1	Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals
	2	Awareness of the legal implications of engineering solutions
7	Ethical Behavior: Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility; awareness of being impartial, without discrimination, and being inclusive of diversity.
	1	Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility ethical responsibility
	2	Awareness of being impartial and inclusive of diversity, without discriminating on any subject
8	Individual and Teamwork: Ability to work effectively, individually and as a team member or leader on interdisciplinary and multidisciplinary teams (face-to-face, remote or hybrid).
	1	Ability to work individually and within the discipline
	2	Ability to work effectively as a team member or leader in multidisciplinary teams (face-to-face, remote or hybrid)
9	Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession) on technical issues.
	1	Ability to communicate verbally
	2	Ability to communicate effectively in writing
10	Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation.
	1	Knowledge of business practices such as project management and economic feasibility analysis
	2	Awareness of entrepreneurship and innovation
11	Lifelong Learning: Lifelong learning skills that include being able to learn independently and continuously, adapting to new and developing technologies, and thinking questioningly about technological changes.