An enhanced optimization approach based on Gaussian process surrogate model for process control in injection molding

A stepwise optimization approach based on Gaussian process (GP) surrogate model is proposed to determine the process parameters and improve the quality control for injection molding. In order to improve the global performance in this optimization, an enhanced probability of improvement criterion is also introduced. Firstly, GP surrogate model is constructed with the initial samples which are obtained from an optimal design of experiment method. GP is capable of giving both a prediction and an estimate of the confidence for the prediction simultaneously. Secondly, an enhanced probability of improvement criterion is used to find the direction of adding training samples and optimize the surrogate model. Since the global optimal region of the model become accurate efficiently after steps of optimizing the surrogate model, the proposed enhanced probability of improvement criterion can switch more swiftly to global optima compared with other improvement criterion. Finally, an auto front grille molding process is taken as an example to illustrate the method. The results show that the proposed optimization method can effectively decrease the warpage of injection-molded parts.

[1]  Yuehua Gao,et al.  Surrogate-based process optimization for reducing warpage in injection molding , 2009 .

[2]  Donald R. Jones,et al.  A Taxonomy of Global Optimization Methods Based on Response Surfaces , 2001, J. Glob. Optim..

[3]  Wei Xia,et al.  A fast optimal latin hypercube design for Gaussian process regression modeling , 2010, Third International Workshop on Advanced Computational Intelligence.

[4]  Wei,et al.  Gaussian Process Modeling of Process Optimization and Parameter Correlation for Injection Molding , 2010 .

[5]  Ko-Ta Chiang,et al.  Analysis of shrinkage and warpage in an injection-molded part with a thin shell feature using the response surface methodology , 2007 .

[6]  Fuli Wang,et al.  A modified global optimization method based on surrogate model and its application in packing profile optimization of injection molding process , 2010 .

[7]  F. Tian,et al.  Modeling and prediction of binding affinities between the human amphiphysin SH3 domain and its peptide ligands using genetic algorithm‐Gaussian processes , 2008, Biopolymers.

[8]  Zhiguo Wang,et al.  An implicit control-volume finite element method and its time step strategies for injection molding simulation , 2007, Comput. Chem. Eng..

[9]  Hans-Martin Gutmann,et al.  A Radial Basis Function Method for Global Optimization , 2001, J. Glob. Optim..

[10]  Zhang Qin-xing PROCESS OPTIMIZATION OF INJECTION MOLDING BY THE COMBINING ANN/HGA METHOD , 2005 .

[11]  Neil D. Lawrence,et al.  Fast Forward Selection to Speed Up Sparse Gaussian Process Regression , 2003, AISTATS.

[12]  G. Venter,et al.  An algorithm for fast optimal Latin hypercube design of experiments , 2010 .

[13]  Stephen J. Leary,et al.  A parallel updating scheme for approximating and optimizing high fidelity computer simulations , 2004 .

[14]  A. O'Hagan,et al.  Curve Fitting and Optimal Design for Prediction , 1978 .

[15]  Wen-Chin Chen,et al.  An integrated parameter optimization system for MISO plastic injection molding , 2009 .

[16]  B. Ozcelik,et al.  Determination of effecting dimensional parameters on warpage of thin shell plastic parts using integrated response surface method and genetic algorithm , 2005 .

[17]  Babur Ozcelik,et al.  Minimization of warpage and sink index in injection-molded thermoplastic parts using Taguchi optimization method , 2006 .

[18]  Bojan Likar,et al.  Predictive control of a gas-liquid separation plant based on a Gaussian process model , 2007, Comput. Chem. Eng..

[19]  Ming-Chih Huang,et al.  The effective factors in the warpage problem of an injection-molded part with a thin shell feature , 2001 .

[20]  Lih-Sheng Turng,et al.  Adaptive multiobjective optimization of process conditions for injection molding using a Gaussian process approach , 2007 .

[21]  Fernando di Sciascio,et al.  Biomass estimation in batch biotechnological processes by Bayesian Gaussian process regression , 2008, Comput. Chem. Eng..

[22]  Andy J. Keane,et al.  On the Design of Optimization Strategies Based on Global Response Surface Approximation Models , 2005, J. Glob. Optim..

[23]  Andy J. Keane,et al.  Recent advances in surrogate-based optimization , 2009 .

[24]  Yu-Shu Wu,et al.  An efficient parallel-computing method for modeling nonisothermal multiphase flow and multicomponent transport in porous and fractured media , 2002 .

[25]  Yong-Taek Im,et al.  Prediction of shrinkage and warpage in consideration of residual stress in integrated simulation of injection molding , 1999 .

[26]  Tao Yu,et al.  Reliable multi-objective optimization of high-speed WEDM process based on Gaussian process regression , 2008 .

[27]  Yuehua Gao,et al.  An effective warpage optimization method in injection molding based on the Kriging model , 2008 .