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			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

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