E-NAUTILUS: A decision support system for complex multiobjective optimization problems based on the NAUTILUS method
Ruiz, A. B., Sindhya, K., Miettinen, K., Ruiz, F., & Luque, M. (2015). E-NAUTILUS: A decision support system for complex multiobjective optimization problems based on the NAUTILUS method. European Journal of Operational Research, 246(1), 218-231. https://doi.org/10.1016/j.ejor.2015.04.027
Published in
European Journal of Operational ResearchDate
2015Copyright
© 2015 Elsevier B.V. and Association of European Operational Research Societies (EURO) within the International Federation of Operational Research Societies (IFORS). This is a final draft version of an article whose final and definitive form has been published by Elsevier. Published in this repository with the kind permission of the publisher.
Interactive multiobjective optimization methods cannot necessarily be easily used when (industrial) multiobjective optimization problems are involved. There are at least two important factors to be considered with any interactive method: computationally expensive functions and aspects of human behavior. In this paper, we propose a method based on the existing NAUTILUS method and call it the Enhanced NAUTILUS (E-NAUTILUS) method. This method borrows the motivation of NAUTILUS along with the human aspects related to avoiding trading-off and anchoring bias and extends its applicability for computationally expensive multiobjective optimization problems. In the E-NAUTILUS method, a set of Pareto optimal solutions is calculated in a pre-processing stage before the decision maker is involved. When the decision maker interacts with the solution process in the interactive decision making stage, no new optimization problem is solved, thus, avoiding the waiting time for the decision maker to obtain new solutions according to her/his preferences. In this stage, starting from the worst possible objective function values, the decision maker is shown a set of points in the objective space, from which (s)he chooses one as the preferable point. At successive iterations, (s)he always sees points which improve all the objective values achieved by the previously chosen point. In this way, the decision maker remains focused on the solution process, as there is no loss in any objective function value between successive iterations. The last post-processing stage ensures the Pareto optimality of the final solution. A real-life engineering problem is used to demonstrate how E-NAUTILUS works in practice.
...


Publisher
Elsevier BV * North-Holland; Association of European Operational Research SocietiesISSN Search the Publication Forum
0377-2217Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/24719948
Metadata
Show full item recordCollections
Related items
Showing items with similar title or keywords.
-
An interactive surrogate-based method for computationally expensive multiobjective optimisation
Tabatabaei, Mohammad; Hartikainen, Markus; Sindhya, Karthik; Hakanen, Jussi; Miettinen, Kaisa (Palgrave Macmillan Ltd., 2019)Many disciplines involve computationally expensive multiobjective optimisation problems. Surrogate-based methods are commonly used in the literature to alleviate the computational cost. In this paper, we develop an interactive ... -
Approximation method for computationally expensive nonconvex multiobjective optimization problems
Haanpää, Tomi (University of Jyväskylä, 2012) -
Hybrid evolutionary multi-objective optimization with enhanced convergence and diversity
Sindhya, Karthik (University of Jyväskylä, 2011) -
On solving computationally expensive multiobjective optimization problems with interactive methods
Ojalehto, Vesa (University of Jyväskylä, 2014) -
DESMILS : a decision support approach for multi-item lot sizing using interactive multiobjective optimization
Kania, Adhe; Afsar, Bekir; Miettinen, Kaisa; Sipilä, Juha (Springer, 2023)We propose a decision support approach, called DESMILS, to solve multi-item lot sizing problems with a large number of items by using single-item multiobjective lot sizing models. This approach for making lot sizing decisions ...