Uusi opinto-opas (sisältäen myös opetusohjelmat) lukuvuodelle 2018-2019 sijaitsee osoitteessa https://opas.peppi.utu.fi . Tältä sivustolta löytyvät enää vanhat opinto-oppaat ja opetusohjelmat.

The new study guide (incl. teaching schedules) for academic year 2018-2019 can be found at https://studyguide.utu.fi. This site contains only previous years' guides.

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Arkistoitu opetussuunnitelma 2014–2016
Selaamasi opetussuunnitelma ei ole enää voimassa. Tarkista tiedot voimassa olevasta opetussuunnitelmasta.
SMAT5059 Vector Optimization 5 op
Organised by
Applied Mathematics
Person in charge
Department of Mathematics and Statistics, Yury Nikulin
Planned organizing times
Period(s) I II III IV
2015–2016 X
Preceding studies

Learning outcomes

This course provides a short introduction to the theory and methodology of linear and nonlinear multiobjective optimization.Together with various basic facts and concepts, a consistent summary of some advanced techniques and theoretical results is provided.


The course among others includes topics on multiobjective linear programming, differentiable vector optimality conditions, sensitivity analysis, different a priori and a posteriory methods etc.

Teaching methods

Teaching method Contact Online
Lectures 28 h 0 h
Exercises 12 h 0 h

Teaching language


Modes of study

Option 1
Available for:
  • Degree Programme Students
  • Other Students
  • Doctoral Students
  • Exchange Students
Exercises Exercise(s)
  • In English
Written exam
  • In English


Numeric 0-5.

Study materials

K. Miettinen "Nonlinear Multiobjective Optimization" + M. Ehrgott "Multicriteria Optimization" + J. Jahn "Vector Optimization. Theory, Applications, and Extensions" + Handouts

Belongs to following study modules

Matematiikan ja tilastotieteen laitos
Archived Teaching Schedule. Please refer to current Teaching Shedule.
Implementation details are unavailable.
Matematiikan ja tilastotieteen laitos