Block
Multicriteria Optimization [T-WIWI-111587]
Type
Written examinationCredits
4.5Recurrence
see AnnotationsVersion
1Responsible
Organisation
- KIT-Fakultät für Wirtschaftswissenschaften
Part of
- Module Mathematical Programming | Industrial Engineering and Management (M.Sc.)
- Module Stochastic Optimization | Industrial Engineering and Management (M.Sc.)
- Module Operations Research in Supply Chain Management | Industrial Engineering and Management (M.Sc.)
- Module Mathematical Programming | Economics Engineering (M.Sc.)
- Module Stochastic Optimization | Economics Engineering (M.Sc.)
- Module Operations Research in Supply Chain Management | Economics Engineering (M.Sc.)
- Module Mathematical Programming | Digital Economics (M.Sc.)
- Module Stochastic Optimization | Digital Economics (M.Sc.)
- Module Operations Research in Supply Chain Management | Digital Economics (M.Sc.)
- Module Mathematical Programming | Information Systems (M.Sc.)
- Module Stochastic Optimization | Information Systems (M.Sc.)
- Module Operations Research in Supply Chain Management | Information Systems (M.Sc.)
- Module Mathematical Programming | Information Engineering and Management (M.Sc.)
- Module Stochastic Optimization | Information Engineering and Management (M.Sc.)
- Module Operations Research in Supply Chain Management | Information Engineering and Management (M.Sc.)
- Module Mathematical Programming | Economathematics (M.Sc.)
- Module Stochastic Optimization | Economathematics (M.Sc.)
- Module Operations Research in Supply Chain Management | Economathematics (M.Sc.)
Events
Course Number | Name | SWS | Type |
---|
Exams
Course Number | Name | Appointments |
---|---|---|
WS22 7900009_WS2223_HK | Multicriteria Optimization | 03.08.2023 - 08:00 |
WS22 7900009_WS2223_HK | Multicriteria Optimization | 23.02.2023 - 08:00 23.02.2023 - 05:00 |
Competence Certificate
The assessment of the lecture is a written examination (60 minutes) according to §4(2), 1 of the examination regulation. The successful completion of the exercises is required for admission to the written exam.
The examination is held in the semester of the lecture and in the following semester.
Prerequisites
None
Recommendation
It is strongly recommended to visit at least one lecture from the Bachelor program of this chair before attending this course.
Annotation
The course is offered every second winter semester (starting WiSe 22/23). The curriculum of the next three years is available online (www.ior.kit.edu).
Contents:
Multicriteria optimization deals with optimization problems with multiple objective functions. In practice, the minimization or maximization of several objectives often conflict with each other, such as weight and stability of mechanical components, return and risk of stock portfolios, or cost and duration of transports. Various scalarization approaches allow one to formulate single-objective problems that can be solved using nonlinear or global optimization techniques, and whose optimal points have a reasonable interpretation for the underlying multicriteria problem.
However, some seemingly obvious scalarization approaches suffer from various drawbacks, so that regardless of scalarization approaches, it is necessary to clarify what is meant by the solution of a multicriteria optimization problem in the first place. For such Pareto-optimal points, optimality conditions and solution procedures based on them can be formulated. From the usually non-unique Pareto set, decision makers finally choose an alternative based on their subjective preferences.
The lecture gives a mathematically sound introduction to multicriteria optimization and is structured as follows:
- Introductory examples and terminology
- Solution concepts
- Methods for the determination of the Pareto set
- Selection of Pareto-optimal points under subjective preferences