On the generation and selection of solutions to multiple response problems Online publication date: Mon, 29-Jun-2015
by Nuno Ricardo Costa; João Lourenço
International Journal of Industrial and Systems Engineering (IJISE), Vol. 20, No. 4, 2015
Abstract: Methods to solve multi-response problems developed under the RSM framework are rarely evaluated in terms of their ability to depict Pareto frontiers and their solutions do not provide information about response properties. This manuscript contributes for positioning some optimisation methods in relation to each other based on their ability to capture solutions in convex and non-convex surfaces in addition to the robustness, quality of predictions and bias of the generated solutions. Results show that an appealing compromise programming-based method can compete with leading methods in the field. It does not require preference information from the decision-maker, is easy-to-implement, can generate solutions to satisfy decision-makers with different sensitivity to bias and variance based on performance metric values, and evenly distributed solutions along the Pareto frontier. The validity of these results is supported on three examples.
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