Worst case deterministic feasibility and multiobjective robustness measures for engineering design optimisation
by Babak Besharati, Shapour Azarm
International Journal of Reliability and Safety (IJRS), Vol. 1, No. 1/2, 2006

Abstract: Nearly all real-world engineering design optimisation problems have parameters with uncontrollable variations. Such variations can significantly degrade the performance of optimum design solutions in terms of their feasibility and/or objective functions values, as obtained by multiobjective design optimisation methods. We present a deterministic feasibility and multiobjective optimisation approach, based on some worst case measures, for generating robustly non-dominated optimal solutions. Following this approach, for uncontrollable parameter variations, we can obtain a (1) feasibly robust design: for which no constraint is violated and (2) multiobjectively robust design: for which, with respect to a target and in a multiobjective sense, minimal distance between worst and best case points (or variability) and minimal distance of a worst case point from a target are obtained. We illustrate and verify the approach with a numerical and an engineering example.

Online publication date: Sat, 19-Aug-2006

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