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Many state-of-the-art evolutionary vector optimization algorithms compute the contributing hypervolume for ranking candidate solutions. However, with an increasing number of objectives, calculating the volumes becomes intractable. Therefore, although hypervolume-based algorithms are often the method of choice for bi-criteria optimization, they are regarded(More)
While scalarization approaches to multi- criteria optimization become infeasible in the case of many objectives, for few objectives the benefits of population- based methods compared to a set of independent single- objective optimization trials on scalarized functions are not obvious. The multi-objective covariance matrix adaptation evolution strategy(More)
The multi-objective covariance matrix adaptation evolution strategy (MO-CMA-ES) is a variable-metric algorithm for real-valued vector optimization. It maintains a parent population of candidate solutions , which are varied by additive, zero-mean Gaussian mutations. Each individual learns its own covariance matrix for the mutation distribution considering(More)
It was recently proven that sets of points maximizing the hypervolume indicator do <i>not</i> give a good multiplicative approximation of the Pareto front. We introduce a new "logarithmic hypervolume indicator" and prove that it achieves a close-to-optimal multiplicative approximation ratio. This is experimentally verified on several benchmark functions by(More)
This thesis show the results of available techniques to reduce the size of a nonlinear DAE which are used to discribe circuits. This reduction of order increases the simulation time of the transient analysis. Because there are several options how to reduce an nonlinear DAE investigations of this methods are shown up. These methods are • Proper orthogonal(More)
distribution, and reproduction in any medium, provided the original work is properly cited. Why does the adherence to norms not prevent conflict? While the current literature focuses on the emergence, maintenance and impact of norms with regard to cooperation, the issue of norm-related conflict deserves more attention. We develop a general game theoretical(More)
This paper addresses the issue of internal determination of organizational outcomes. It is argued that in small and simply structured organizations a considerable proportion of the variance in organizational activities and outcomes is associated with individuals. In particular, the paper uses human capital theory to derive hypotheses about individual(More)