Course Information

Course Name	Turkish	Matematiksel Programlama
	English	Mathematical Programming
Course Code	END 508	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	3	-	-
Course Language		English
Course Coordinator		Şule Itır Satoğlu Emine Yaylalı
Course Objectives		• 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
Course Description		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.
Course Outcomes		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.
Pre-requisite(s)		Operations Research-1
Required Facilities
Other
Textbook
Other References		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

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