A hybrid multiobjective differential evolution algorithm and its application to the optimization of grinding and classification

The grinding-classification is the prerequisite process for full recovery of the nonrenewable minerals with both production quality and quantity objectives concerned. Its natural formulation is a constrained multiobjective optimization problem of complex expression since the process is composed of o...

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Main Authors: Wang, Y., Chen, X., Gui, W., Yang, C., Caccetta, Louis, Xu, Honglei
Format: Journal Article
Published: Hindawi Publishing Corporation 2013
Online Access:http://hdl.handle.net/20.500.11937/47607
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author Wang, Y.
Chen, X.
Gui, W.
Yang, C.
Caccetta, Louis
Xu, Honglei
author_facet Wang, Y.
Chen, X.
Gui, W.
Yang, C.
Caccetta, Louis
Xu, Honglei
author_sort Wang, Y.
building Curtin Institutional Repository
collection Online Access
description The grinding-classification is the prerequisite process for full recovery of the nonrenewable minerals with both production quality and quantity objectives concerned. Its natural formulation is a constrained multiobjective optimization problem of complex expression since the process is composed of one grinding machine and two classification machines. In this paper, a hybrid differential evolution (DE) algorithm with multi-population is proposed. Some infeasible solutions with better performance are allowed to be saved, and they participate randomly in the evolution. In order to exploit the meaningful infeasible solutions, a functionally partitioned multi-population mechanism is designed to find an optimal solution from all possible directions. Meanwhile, a simplex method for local search is inserted into the evolution process to enhance the searching strategy in the optimization process. Simulation results from the test of some benchmark problems indicate that the proposed algorithm tends to converge quickly and effectively to the Pareto frontier with better distribution. Finally, the proposed algorithm is applied to solve a multiobjective optimization model of a grinding and classification process. Based on the technique for order performance by similarity to ideal solution (TOPSIS), the satisfactory solution is obtained by using a decision-making method for multiple attributes.
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institution Curtin University Malaysia
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publishDate 2013
publisher Hindawi Publishing Corporation
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spelling curtin-20.500.11937-476072017-09-13T14:15:46Z A hybrid multiobjective differential evolution algorithm and its application to the optimization of grinding and classification Wang, Y. Chen, X. Gui, W. Yang, C. Caccetta, Louis Xu, Honglei The grinding-classification is the prerequisite process for full recovery of the nonrenewable minerals with both production quality and quantity objectives concerned. Its natural formulation is a constrained multiobjective optimization problem of complex expression since the process is composed of one grinding machine and two classification machines. In this paper, a hybrid differential evolution (DE) algorithm with multi-population is proposed. Some infeasible solutions with better performance are allowed to be saved, and they participate randomly in the evolution. In order to exploit the meaningful infeasible solutions, a functionally partitioned multi-population mechanism is designed to find an optimal solution from all possible directions. Meanwhile, a simplex method for local search is inserted into the evolution process to enhance the searching strategy in the optimization process. Simulation results from the test of some benchmark problems indicate that the proposed algorithm tends to converge quickly and effectively to the Pareto frontier with better distribution. Finally, the proposed algorithm is applied to solve a multiobjective optimization model of a grinding and classification process. Based on the technique for order performance by similarity to ideal solution (TOPSIS), the satisfactory solution is obtained by using a decision-making method for multiple attributes. 2013 Journal Article http://hdl.handle.net/20.500.11937/47607 10.1155/2013/841780 Hindawi Publishing Corporation fulltext
spellingShingle Wang, Y.
Chen, X.
Gui, W.
Yang, C.
Caccetta, Louis
Xu, Honglei
A hybrid multiobjective differential evolution algorithm and its application to the optimization of grinding and classification
title A hybrid multiobjective differential evolution algorithm and its application to the optimization of grinding and classification
title_full A hybrid multiobjective differential evolution algorithm and its application to the optimization of grinding and classification
title_fullStr A hybrid multiobjective differential evolution algorithm and its application to the optimization of grinding and classification
title_full_unstemmed A hybrid multiobjective differential evolution algorithm and its application to the optimization of grinding and classification
title_short A hybrid multiobjective differential evolution algorithm and its application to the optimization of grinding and classification
title_sort hybrid multiobjective differential evolution algorithm and its application to the optimization of grinding and classification
url http://hdl.handle.net/20.500.11937/47607