Technische Universität Ilmenau

Systems Optimization - Modultafeln of TU Ilmenau

The module lists provide information on the degree programmes offered by the TU Ilmenau.

Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).

You can find all details on planned lectures and classes in the electronic university catalogue.

Information and guidance on the maintenance of module descriptions by the module officers are provided at Module maintenance.

Please send information on missing or incorrect module descriptions directly to modulkatalog@tu-ilmenau.de.

module properties module number 200008 - common information
module number200008
departmentDepartment of Computer Science and Automation
ID of group2212 (Simulation and Optimal Processes)
module leaderProf. Dr. Pu Li
languageEnglisch
term Wintersemester
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
Details reference subject
module nameSystems Optimization
examination number2200638
credit points5
SWS4 (2 V, 2 Ü, 0 P)
on-campus program (h)45
self-study (h)105
obligationobligatory module
examwritten examination performance, 90 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Master Wirtschaftsingenieurwesen 2021 (AT)
module nameSystems Optimization
examination number2200638
credit points5
on-campus program (h)45
self-study (h)105
obligationobligatory module
examwritten examination performance, 90 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Master Research in Computer & Systems Engineering 2016, Master Communications and Signal Processing 2021
module nameSystems Optimization
examination number2200638
credit points5
on-campus program (h)45
self-study (h)105
obligationelective module
examwritten examination performance, 90 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants