Dersin Bilgileri

Dersin Adı	Türkçe	Matematiksel Programlama
	İngilizce	Mathematical Programming
Dersin Kodu	END 508	Kredi	Ders (saat/hafta)	Uygulama (saat/hafta)	Labratuvar (saat/hafta)
Dönem	-	3	3	-	-
Dersin Dili		İngilizce
Dersin Koordinatörü		Şule Itır Satoğlu Emine Yaylalı
Dersin Amaçları		• Improve their ability to rigorously prove mathematical statements. • Analyze the structure of and mathematical models of various complex systems occurring in industrial and engineering applications. • Develop the mathematical structure of the most commonly used deterministic, discrete, linear and integer optimization models. • Develop an understanding of the algorithms and techniques used to solve and analyze linear, optimization models using their mathematical structure. • Develop knowledge of existing solvers for linear optimization
Dersin Tanımı		Introduction to mathematical programming, also known as mathematical optimization, with an emphasis on modeling and linear deterministic models. We will explore solution procedures and algorithms such as simplex method and interior point algorithms. Topics covered include duality, sensitivity analysis, integer programming and decomposition. Applications relate to design and analysis of problems such as production, inventory control, assembly line balancing, routing, scheduling, healthcare, military and transportation. As a supporting theme, the course will also emphasize effective modeling techniques, and the assignments will require the use of state-of-the-art optimization software.
Dersin Çıktıları		Develop Knowledge about the algorithms and techniques used to solve and analyze linear, optimization models using their mathematical structure. Ability to develop a mathematical model effectively, for a given optimization problem. Develop knowledge of existing solvers for linear optimization, especially CPLEX.
Önkoşullar		Operations Research-1
Gereken Olanaklar		Computer CPLEX Solver
Diğer
Ders Kitabı
Diğer Referanslar		o D. Bertsimas and J.N. Tsitsiklis, Introduction to Linear Optimization, Athena Scientific (1997). o Wolsey, L., 1998. Integer Programming. Wiley. o G.B. Dantzig, M.N. Thapa, Linear Programming: Theory and Extensions, Springer, 1997 o M.S. Bazaraa, J.J. Jarvis, Linear Programming and Network Flows, John Wiley and Sons Inc., 1977 o H.P. Williams, Model Building in Mathematical Programming, John Wiley, 1999 o A. Schrijver, Theory of linear and integer programming, John Wiley, 1998 o G.Hadley, Linear Programming, Addison-Wesley Publishing company, 1968 o Journals: OR, MS, Decision Analysis, IIE Transactions, Journal of POMS, Interfaces, M&SOM, Journal of Applied Probability

Dersler

Yardım

Hakkında