Predictive modeling of the length of prepared CNT by CVD through ANN-MPSO and GEP

Document Type: Research Paper


1 Department of Materials Engineering, Faculty of Engineering, University of Sistan and Baluchestan, Zahedan, Iran

2 Department of Materials Science and Engineering, Faculty of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran



Floating catalyst chemical vapor deposition (FC-CVD) is considered as one of the most appropriate techniques for the preparation of carbon nanotubes (CNTs) on the industrial scale. This paper tried to model the length of CNTs prepared by FC-CVD using two approaches, i.e. gene expression programs and hybrid artificial neural networks. In this regard, the effect of various FC-CVD parameters, viz. temperature, time, preheat temperature, Ar gas flow, methane gas flow, ethylene gas flow, Al2O3 catalyst, and Fe catalyst, on the length of CNTs, were investigated. At first, a hybrid artificial neural network-modified particle swarm optimization strategy (ANN-MPSO) has been used to model the CNTs length as a function of practical variables. In the next step, the same modeling of the problem was done using gene expression programming (GEP) instead of ANN-MPSO. The accuracy of the developed hybrid ANN-MPSO and GEP models was compared with regard to the linear combination of mean absolute percentage error and correlation coefficient as criteria. The results confirmed that the ANN model upgraded by the meta-heuristics strategy could be effectively applied for an accurate predictive model in the estimation of the length of CNTs as a function of the most important practical FC-CVD parameters. Also, the sensitivity analysis confirmed that the precursor type of carbon (including CH4 and C2H4) and the preheat temperature have the highest and the least effect on the length of CNTs, respectively.

Graphical Abstract

Predictive modeling of the length of prepared CNT by CVD through ANN-MPSO and GEP


  • This paper tried to model the length of CNTs prepared by FC-CVD.
  • The modeling was performed by two methods: ANN-MPSO and GEP.
  • It was confirmed through performance criteria analysis that the ANN-MPSO strategy performed better in the prediction of CNTs length than the GEP models.


Main Subjects

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