Abstract
A design engineer is expected to have an appreciation of how a small change in a single variable will affect the device performance. This is in fact a concept of sensitivity, which can be used to determine the effects of manufacturing errors. From the industrial viewpoint, it is well known that optimal solutions, which are remarkably perturbed by small deviations of the design variables around their theoretical value, are not desirable; in fact, they would determine strong tolerance specifications in the fabrication process. Definitely, low-sensitivity – or robust – solutions are preferred.
In multiobjective optimisation, in particular, a perturbation of non-dominated solutions could originate a deformation of the front with respect to the unperturbed case; a typical situation is shown in Fig. 9.1, where a possible effect of a perturbation within the Pareto set (right) upon the Pareto front (left) is shown in a two-dimensional case. Then, the question of front robustness arises.
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Barba, P.D. (2010). Sensitivity Analysis and MOSD. In: Multiobjective Shape Design in Electricity and Magnetism. Lecture Notes in Electrical Engineering, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3080-1_9
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DOI: https://doi.org/10.1007/978-90-481-3080-1_9
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