6533b7d3fe1ef96bd1261254

RESEARCH PRODUCT

Interactive Method NIMBUS for Nondifferentiable Multiobjective Optimization Problems

Kaisa MiettinenMarko M. Mäkelä

subject

Mathematical optimizationNonlinear systemMultiobjective optimization problemComputer sciencePoint (geometry)Aspiration levelDecision makerUpper and lower boundsMulti-objective optimization

description

An interactive method, NIMBUS, for nondifferentiable multiobjective optimization problems is introduced. The method is capable of handling several nonconvex locally Lipschitzian objective functions subject to nonlinear (possibly nondifferentiable) constraints. The idea of NIMBUS is that the decision maker can easily indicate what kind of improvements are desired and what kind of impairments are tolerable at the point considered. The decision maker is asked to classify the objective functions into five different classes: those to be improved, those to be improved down to some aspiration level, those to be accepted as they are, those to be impaired till some upper bound, and those allowed to change freely. A new problem is formed according to this classification.

yearjournalcountryeditionlanguage
1997-01-01
https://doi.org/10.1007/978-3-642-60667-0_30