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Abstract: Although there are many versions of evolutionary algorithms that are tailored to multi--criteria optimization, theoretical results are apparently not yet available. Here, it is shown that results known from the theory of evolutionary algorithms in case of single criterion optimization do not carry over to the multi--criterion case. At first, three different step size rules are investigated numerically for a selected problem with two conflicting objectives. The empirical results obtained by... (Update)
Context of citations to this paper: More
.... zi) 2) 2 THEORY FOR EMOO Results on the convergence of evolutionary multiobjective optimisation have been presented by Rudolph [12, 13] based on the Markov chain approach which has been successfully used for the analysis of single objective evolutionary algorithms, see...
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BibTeX entry: (Update)
G. Rudolph. On a multi--objective evolutionary algorithm and its convergence to the pareto set. In Proceedings of the 1998 IEEE International Conference on Evolutionary Computation, pages 511--516. IEEE Press, Piscataway (NJ), 1998. http://citeseer.ist.psu.edu/rudolph98multiobjective.html More
@inproceedings{ rudolph98multiobjective,
author = "G{\"u}nter Rudolph",
title = "On a Multi-Objective Evolutionary Algorithm and Its Convergence to the {Pareto} Set",
booktitle = "Proceedings of {theSecondIEEE} World Congress on Computational Intelligence({WCCI}\,98),International Conference on Evolutionary Computation({ICEC}\,98)",
publisher = "IEEE Press",
address = "Piscataway NJ",
editor = "David B. Fogel and Hans-Paul Schwefel and Thomas B{\"a}ck and Xin Yao",
pages = "511--516",
year = "1998",
url = "citeseer.ist.psu.edu/rudolph98multiobjective.html" }
Citations (may not include all citations):191 An overview of evolutionary algorithms in multiobjective opt.. - Fonseca, Fleming - 1995 DBLP
61 Convergence Properties of Evolutionary Algorithms (context) - Rudolph - 1997
38 A variant of evolution strategies for vector optimization - Kursawe - 1991 ACM DBLP
31 Multicriterion decision making (context) - Horn - 1997
17 Multi--objective optimization by genetic algorithms: a revie.. (context) - Tamaki, Kita et al. - 1996
16 Evolutionary search for minimal elements in partially ordere.. - Rudolph - 1998 ACM DBLP
6 Filtering for Stochastic Processes with Applications to Guid.. (context) - Bucy, Joseph - 1968
1 Elliptic integrals (context) - Milne-Thomson - 1965 ACM
The graph only includes citing articles where the year of publication is known.
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