Systems Optimization - Interactive curriculae of TU Ilmenau

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module properties Systems Optimization in degree program Master Communications and Signal Processing 2021
module number	200008
examination number	2200638
department	Department of Computer Science and Automation
ID of group	2212 (Simulation and Optimal Processes)
module leader	Prof. Dr. Pu Li
term	winter term only
language	Englisch
credit points	5
on-campus program (h)	45
self-study (h)	105
obligation	elective module
exam	oral examination performance, 30 minutes
details of the certificate
link to Moodle course
teacher	Dr. Geletu, Abebe
signup details for alternative examinations
maximum number of participants
previous knowledge and experience	Fundamentals of Mathematics and Control Engineering
learning outcome	The students know and can explain fundamentals, problem formulation, and classification of optimization methods methods and tools for optimization different problem formulations and mathematical derivation of optimization methods applications in industrial processes The students have learned the theory, models, methods, and algorithms of the corresponding subjects in the lectures. In the exercises, they had been activated to solve example tasks.
content	Linear Optimization: Theory of linear programming, degree of freedom, feasible region, graphical description/solution, Simplex method, mixing problem, optimal production planning Nonlinear Optimization: Convexity analysis, problems without uand with constraints, optimality condition, the gradient-, Newton-, Quasi-Newton-methods, KKT conditions, sequential quadratic programming (SQP) methods, active-set method, approximation of the Hessian matrix, application in optimal design of industrial processes. Mixed-Integer Optimization : Mixed-Integer Linear Programming (MILP), Branch-and-Bound method, optimization software GAMS, application in optimal design of industrial processes. Dynamic Optimization: Discretization in time, Euler method, orthogonal collocation, solution of the problem with SQP
media of instruction and technical requirements for education and examination in case of online participation	Video on Demand, Moodle-Kurs, Webex-Veranstaltungen, Folien, Skripte
literature / references	U. Hoffmann, H. Hofmann: Einführung in die Optimierung, Verlag Chemie, Weinheim, 1982 T. F. Edgar, D. M. Himmelblau: Optimization of Chemical Processes, McGraw-Hill, New York, 1989 Teo, K. L., Goh, C. J., Wong, K. H: A Unified Computational Approach to Optimal Control Problems. John Wiley & Sons, New York, 1991 C. A. Floudas: Nonlinear and Mixed-Integer Optimization, Oxford University Press, 1995 L. T. Biegler, I. E. Grossmann, A. W. Westerberg: Systematic Methods of Chemical Process Design. Prentice Hall, New Jersey, 1997 M. Papageorgiou: Optimierung, Oldenbourg Verlag, München, 2006 J. Nocedal, S. J. Wright: Numerical Optimization, Springer-Verlag, 1999
evaluation of teaching