A Modified Complex Algorithm Applied to Robust Design Optimization

Today there is a desire to perform optimizations in order to receive optimal system properties. However, for computationally expensive simulation models, an optimization may be too tedious to be motivated. This paper proposes a modification of the Complex optimization algorithm to enable the creation and u sage of local meta-models during the optimization. Its performance is demonstrated for a few analytical problems and a reliability based design optimization is conducted for an aircr aft example. Nomenclature Av = maximum opening area of vent valve βi = the i th coefficient for a response surface g(x 1,x 2) = the mathematical function g as a function of the variables x 1 and x 2 k = number of points used for complex algorithm m = number of samples mp = mass of piston inside the main valve n = number of variables pe = end pressure in the environmental control system pt = tank pressure R n = n-dimensional space tf = time to fill the environmental system xi = value of the i th variable y = function value ŷ = estimated function value from a meta-model

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