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Goldberg, David E. Johnson, Duane D. Sastry, Kumara Narasimha 2015-09-28T15:37:20Z 2015-09-28T15:37:20Z 10000-01-01 2007 2007 Finally, facetwise models are developed to explore limitations of scalability of MOGAs, where the scalability of multiobjective algorithms in reliably maintaining Pareto-optimal solutions is addressed. The results show that even when the building blocks are accurately identified, massive multimodality of the search problems can easily overwhelm the nicher (diversity preserving operator) and lead to exponential scale-up. Facetwise models are developed, which incorporate the combined effects of model accuracy, decision making, and sub-structure supply, as well as the effect of niching on the population sizing, to predict a limit on the growth rate of a maximum number of sub-structures that can compete in the two objectives to circumvent the failure of the niching method. The results show that if the number of competing building blocks between multiple objectives is less than the proposed limit, multiobjective GAs scale-up polynomially with the problem size on boundedly-difficult problems. Made available in DSpace on 2015-09-28T15:37:20Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3290369.pdf: 8217850 bytes, checksum: 8c5d9082a7ca36c0942178ea80790d1b (MD5) Previous issue date: 2007 Embargo set by: Seth Robbins for item 88366 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 220 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007. http://hdl.handle.net/2142/87085 (MiAaPQ)AAI3290369 eng Engineering, Materials Science Genetic Algorithms and Genetic Programming for Multiscale Modeling: Applications in Materials Science and Chemistry and Advances in Scalability text Systems and Entrepreneurial Engineering Systems and Entrepreneurial Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.