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        <identifier>oai:drops-oai.dagstuhl.de:237</identifier>
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          <dc:title>Multiobjective Optimization and Multiple Constraint Handling with Evolutionary Algorithms</dc:title>
          <dc:creator>Fonseca, Carlos M.</dc:creator>
          <dc:creator>Fleming, Peter J.</dc:creator>
          <dc:subject>Evolutionary algorithms</dc:subject>
          <dc:subject>multiobjective optimization</dc:subject>
          <dc:subject>preference articulation</dc:subject>
          <dc:subject>interactive optimization.</dc:subject>
          <dc:description>In this talk, fitness assignment in multiobjective evolutionary algorithms&#13;
is interpreted as a multi-criterion decision process. A suitable decision &#13;
making framework based on goals and priorities is formulated in terms of a&#13;
relational operator, characterized, and shown to encompass a number of&#13;
simpler decision strategies, including constraint satisfaction,&#13;
lexicographic optimization, and a form of goal programming. Then, the&#13;
ranking of an arbitrary number of candidates is considered, and the effect&#13;
of preference changes on the cost surface seen by an evolutionary algorithm&#13;
is illustrated graphically for a simple problem.&#13;
&#13;
The formulation of a multiobjective genetic algorithm based on the proposed&#13;
decision strategy is also discussed. Niche formation techniques are used to&#13;
promote diversity among preferable candidates, and progressive articulation&#13;
of preferences is shown to be possible as long as the genetic algorithm can&#13;
recover from abrupt changes in the cost landscape.&#13;
&#13;
Finally, an application to the optimization of the low-pressure spool speed&#13;
governor of a Pegasus gas turbine engine is described, which illustrates how&#13;
a technique such as the Multiobjective Genetic Algorithm can be applied, and&#13;
exemplifies how design requirements can be refined as the algorithm runs.   &#13;
&#13;
The two instances of the problem studied demonstrate the need for preference&#13;
articulation in cases where many and highly competing objectives lead to a  &#13;
non-dominated set too large for a finite population to sample effectively.  &#13;
It is shown that only a very small portion of the non-dominated set is of   &#13;
practical relevance, which further substantiates the need to supply&#13;
preference information to the GA.</dc:description>
          <dc:publisher>Schloss Dagstuhl – Leibniz-Zentrum für Informatik</dc:publisher>
          <dc:contributor>Carlos M. Fonseca and Peter J. Fleming</dc:contributor>
          <dc:date>2005</dc:date>
          <dc:relation>Is Part Of Dagstuhl Seminar Proceedings, Volume 4461, Practical Approaches to Multi-Objective Optimization (2005)</dc:relation>
          <dc:type>InProceedings</dc:type>
          <dc:type>Text</dc:type>
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          <dc:identifier>doi:10.4230/DagSemProc.04461.14</dc:identifier>
          <dc:identifier>urn:nbn:de:0030-drops-2371</dc:identifier>
          <dc:identifier>https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04461.14</dc:identifier>
          <dc:language>eng</dc:language>
          <dc:rights>https://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
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