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Based on the exponential trait of grey model and the definition of integral, reconstructing of GM(1, 1) model, a kind of non-equidistant optimum new information grey model GM(1, 1) with optimizing the parameter of the background value function and modifying nth component as the initial value of response solution to line-drawing data processing in computer aided design was proposed, the method of precision inspection was introduced. Then, using quantum-behaved particle swarm optimization (QPSO), constructing dynamic penalty function, the programming was authorized with MATLAB7.6 language. An example was given, the results were compared with the results based other grey models, respectively. The method can be used for model establishing on equal interval, as well as on noninterval. Moreover, GM(1,1) model's fitting precision and prediction is advanced and the scope of application is enlarged. The model is simple and practical, and has a generalizing value in the field of CAD.
Date of Conference: 19-20 Dec. 2009