2008 | OriginalPaper | Buchkapitel
Influence of Different Deviations Allowed for Equality Constraints on Particle Swarm Optimization and Differential Evolution
verfasst von : Karin Zielinski, Shyam Praveen Vudathu, Rainer Laur
Erschienen in: Nature Inspired Cooperative Strategies for Optimization (NICSO 2007)
Verlag: Springer Berlin Heidelberg
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In real-world problems, e.g. when applying worst-case methods to yield analysis, the violation of equality constraints must often be considerably smaller than the remaining deviations commonly allowed in literature of about l
e
–4. In this work it is shown with Particle Swarm Optimization and Differential Evolution that deviations of ≤ l
e
–7 already present difficulties, and that for deviations of ≤ l
e
–11 the optimum is hardly found at all for the considered optimization problem when using a fixed allowed deviation during the optimization run. However, if the allowed constraint violation is varied during the run according to a suitable schedule, even reaching deviations of l
e
–15 is no problem for both optimization algorithms.