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TOOLED THICK COMPOSITES by ARVEN H. SAUNDERS III ...

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simulated annealing algorithm was used to derive the optimal real-time control decisions. A key<br />

variable was estimation of in-situ preform permeability in real-time. Other researchers have<br />

applied ANN models to experimental data, such as Ciurana et al (2009).<br />

Traditional methods of optimization are gradient (derivative)-based. Regression models<br />

(such as described <strong>by</strong> Kutner, 2005) are well established in linear and nonlinear forms, and well<br />

suited for predicting the value of a single response variable in terms of independent variables or<br />

factors. Response surface methodology (RSM) is probably best suited for a complex<br />

multivariable situation, or where the exact nature of the functions is not known, or well<br />

understood, as exemplified <strong>by</strong> Sheldon et al (Sheldon, 2001). Other researchers have applied<br />

RSM to summarize input-output datasets generated <strong>by</strong> Monte Carlo simulations over ranges of<br />

values for each input parameter to explore an n-dimensional space. Both regression and RSM<br />

models can be developed based on sufficient experimental data.<br />

Numerical based approaches to optimization, however, require knowledge of governing<br />

equations, transfer functions, and so on. For a process that is complex, has many factors<br />

suspected of being related to the response variable(s), and is not well understood, a<br />

conventional approach for investigation is to use designed experiments. The most commonly<br />

applied are a factorial or Taguchi experiment that is designed and carried out, featuring multiple<br />

factors and levels, to explore the relationships to the critical outcomes, desired responses or<br />

quality variables. Often analysis of variance (ANOVA) techniques are used to determine the<br />

major or significant factors, most correlated to the responses. Experimental data may then be<br />

fitted to regression or response surface models, with confirmation process runs used to validate<br />

model predictions. Optimization can then be explored via the models. Examples include<br />

Palanikumar (2008), Walia et al (2006) and Yang (2006).<br />

State of the art cure process models typically utilize finite element models (FEMs) to<br />

capture the full extent of its complexity. These models are widely used to provide high fidelity<br />

physical models for process development and improvement studies, as <strong>by</strong>, for example, Chen<br />

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