Akademik Dersler - Tanıtım


Code - Course Title	ENM313 - Mathematical Programming Models in Engineering
Course Type	Area Elective Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	4.5
Course Instructor(s)	DOKTOR ÖĞRETİM ÜYESİ NERGİZ KASIMBEYLİ
Mode of Delivery	The mode of delivery of this course is Face-to-face.
Prerequisites	Calculus, Linear Algebra, OR
Courses Recomended
Required or Recommended Resources	Building and Solving Mathematical Programming Models in Engineering and Science. Enrique Castillo, Antonio J. Conejo, Pablo Pedregal, Ricardo Garcia, Natalia Alguacil, John Wiley & Sons, Inc., 2002, ISBN 0-471-15043-6.Model Building in Mathematical Programming, Fourth Edition, H. Paul Williams, John Wiley & Sons, Ltd., 2003, ISBN 0 471 99788.
Recommended Reading List
Assessment methods and criteria	Two midterm and one final exam . Two midterm and the final exams are classic .
Work Placement	One hours per week are spent for problem solving.
Sustainability Development Goals

Weeks	Topics
Week - 1	The Transportation Problem. A GAMS Code to Solve the Transportation Problem. The Production Scheduling Problem.
Week - 2	The Diet Problem. A GAMS Code to Solve the Diet Problem. The Network Flow Problem. A GAMS Code to Solve the Network Flow Problem.
Week - 3	The Portfolio Problem and a GAMS Code for Solving it.
Week - 4	Mixed-Integer Linear Programming. The 0-1 Knapsack Problem And an Input GAMS File to Solve This Problem.
Week - 5	Identifying Relevant Symptoms and an Input GAMS File to Solve This Problem
Week - 6	The Academy Problem and an Input GAMS File to Solve This Problem. School Timetable Problem and an Input GAMS File to Solve This Problem
Week - 7	Models of Discrete Location and an Input GAMS File to Solve This Problem
Week - 8	Nonlinear Programming. Some Geometrically Motivated Examples. The Postal Package Example. The Tent Example. The Surface Example. An Input GAMS File to Solve These Problems.
Week - 9	Some useful modeling tricks. Understanding the Set of All Feasible Solutions. Lines, Planes, Hyperplanes
Week - 10	Linear Spaces. Basis and Dimensions of linear Vector Spaces
Week - 11	Convex sets. Polyhedral sets. Cones. Extreme Points. Extreme Directions.

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	40
Final Exam	1	60
Toplam (%)		100