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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 392197, 30 pages
Research Article

Modeling and Optimization of Cement Raw Materials Blending Process

1Department of Information Service and Intelligent Control, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China
2Graduate School of Chinese Academy of Sciences, University of Chinese Academy of Sciences, Beijing 100039, China

Received 6 May 2012; Revised 24 July 2012; Accepted 8 August 2012

Academic Editor: Hung Nguyen-Xuan

Copyright © 2012 Xianhong Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper focuses on modelling and solving the ingredient ratio optimization problem in cement raw material blending process. A general nonlinear time-varying (G-NLTV) model is established for cement raw material blending process via considering chemical composition, feed flow fluctuation, and various craft and production constraints. Different objective functions are presented to acquire optimal ingredient ratios under various production requirements. The ingredient ratio optimization problem is transformed into discrete-time single objective or multiple objectives rolling nonlinear constraint optimization problem. A framework of grid interior point method is presented to solve the rolling nonlinear constraint optimization problem. Based on MATLAB-GUI platform, the corresponding ingredient ratio software is devised to obtain optimal ingredient ratio. Finally, several numerical examples are presented to study and solve ingredient ratio optimization problems.