6533b83afe1ef96bd12a78f0
RESEARCH PRODUCT
Incorporating preference information in interactive reference point methods for multiobjective optimization
Francisco RuizPetri EskelinenKaisa MiettinenKaisa MiettinenMariano Luquesubject
Mathematical optimizationDecision support systemInformation Systems and ManagementInteractive programmingStrategy and Managementmedia_common.quotation_subjectManagement Science and Operations ResearchDecision makerMulti-objective optimizationPreferenceSet (abstract data type)Decision-makingFunction (engineering)media_commonMathematicsdescription
In this paper, we introduce new ways of utilizing preference information specified by the decision maker in interactive reference point based methods. A reference point consists of desirable values for each objective function. The idea is to take the desires of the decision maker into account more closely when projecting the reference point onto the set of nondominated solutions. In this way we can support the decision maker in finding the most satisfactory solutions faster. In practice, we adjust the weights in the achievement scalarizing function that projects the reference point. We identify different cases depending on the amount of additional information available and demonstrate the cases with examples. Finally, we summarize results of extensive computational tests that give evidence of the efficiency of the ideas proposed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-04-01 | Omega |