2019
DOI: 10.1080/0305215x.2019.1617286
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Pareto Explorer: a global/local exploration tool for many-objective optimization problems

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Cited by 34 publications
(33 citation statements)
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“…The optimizer produces feasible points and the decision maker provides preference information. 38,39 In this work, we investigate a hybrid approach. First, we compute an approximation to the efficient set of the family of uMOCP in an offline fashion.…”
Section: The Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The optimizer produces feasible points and the decision maker provides preference information. 38,39 In this work, we investigate a hybrid approach. First, we compute an approximation to the efficient set of the family of uMOCP in an offline fashion.…”
Section: The Methodsmentioning
confidence: 99%
“…▪ Next, we investigate the limit behavior of the sequence A i of archives. To guarantee convergence, we have to assume the following (see also Shütze et al 39,43 ):…”
Section: Algorithm 2 Generic Stochastic Search Algorithmmentioning
confidence: 99%
“…Both methods are well known for problems related to multi-modality, solution equivalence, and low resolution. It is known that the Pareto approach can provide detailed insight into details of feasible solutions and support the decision of choosing the final one [2,6,10,12,15]. Herein, we analyze the other approach in which solutions from Pareto front are taken into consideration all at once.…”
Section: Methodsmentioning
confidence: 99%
“…Additionally, classic joint inversion suffers from the necessity of weighting and scaling target functions from incomparable methods. One of the possible strategies of solving this problem is the Pareto approach [2,4,6,10,12,15], however, it does not provide one sure answer about the final model, but rather kind of set of equally feasible solutions. What is worse, the same set of parameters can produce a few different models what raises the problem of equivalence.…”
Section: Introductionmentioning
confidence: 99%
“…Hence, it is rather unclear if these solutions are indeed the "ideal" solutions according to the given problem. The Pareto Explorer (PE [30]) is a global/local exploration tool for the numerical treatment of MaOPs: in a first step, one (or several) optimal solutions are computed and presented to the decision-maker. These could be the results of any of the above mentioned scalarization methods, or any other (preferably global) multi-objective solver.…”
Section: Introductionmentioning
confidence: 99%