MODELING AND PREDICTION OF YEAR-BASED CHEMICAL ENGINEERING PLANT COST INDEX DATA USING FEEDFORWARD BACKPROPAGATION NEURAL NETWORK (FFBPNN) AND REGRESSION

This study presents a comparative analysis of Single Input Single Output (SISO) Feedforward Backpropagation Neural Network (FFBPNN) and conventional regression models for predicting year-based Chemical Engineering Plant Cost Index (CEPCI) data spanning 64 years from 1960 to 2023. The primary aim is to evaluate the predictive performance of both approaches using the coefficient of determination (R²) and mean squared error (MSE) as key performance indicators. In the regression modelling phase, a variety of functions, linear, polynomial (up to sixth order), logarithmic, exponential, logistic, and power models, were examined. The best regression performance was obtained for hexic polynomial (n=6), yielding an R² of 0.9760, indicating strong, but not optimal predictive accuracy. In contrast, the FFBPNN architecture demonstrated superior performance with a model tuned by varying the data split ratio, number of neurons in the hidden layer, and activation functions for hidden and output layers. The best configuration was found to be data split ratio of 0.90 (training) - 0.05 (validation) - 0.05 (testing), 30 neurons in the hidden layer, tansig activation in the hidden layer, and purelin in the output layer. The training was carried out using the Levenberg-Marquardt algorithm with gradient descent with momentum-based learning over 10 epochs. This configuration achieved an R² of 0.9997 and an MSE of 10.80, significantly outperforming the regression models. The findings confirm that FFBPNN provides a more robust and accurate framework for modelling complex, nonlinear trends in year-based CEPCI data, offering substantial advantages over traditional regression methods in both precision and generalizability.

Authors

Publication Details

Journal
International Journal of Apllied Mathematics
Published
2025-09-24
DOI
https://doi.org/10.12732/ijam.v38i3s.147
Primary Topic
Industrial Technology and Control Systems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

MODELING AND PREDICTION OF YEAR-BASED CHEMICAL ENGINEERING PLANT COST INDEX DATA USING FEEDFORWARD BACKPROPAGATION NEURAL NETWORK (FFBPNN) AND REGRESSION

Selvaraju Sivamani
International Journal of Apllied Mathematics
Industrial Technology and Control Systems
article

MODELING AND PREDICTION OF YEAR-BASED CHEMICAL ENGINEERING PLANT COST INDEX DATA USING FEEDFORWARD BACKPROPAGATION NEURAL NETWORK (FFBPNN) AND REGRESSION

Selvaraju Sivamani
article en

Abstract

This study presents a comparative analysis of Single Input Single Output (SISO) Feedforward Backpropagation Neural Network (FFBPNN) and conventional regression models for predicting year-based Chemical Engineering Plant Cost Index (CEPCI) data spanning 64 years from 1960 to 2023. The primary aim is to evaluate the predictive performance of both approaches using the coefficient of determination (R²) and mean squared error (MSE) as key performance indicators. In the regression modelling phase, a variety of functions, linear, polynomial (up to sixth order), logarithmic, exponential, logistic, and power models, were examined. The best regression performance was obtained for hexic polynomial (n=6), yielding an R² of 0.9760, indicating strong, but not optimal predictive accuracy. In contrast, the FFBPNN architecture demonstrated superior performance with a model tuned by varying the data split ratio, number of neurons in the hidden layer, and activation functions for hidden and output layers. The best configuration was found to be data split ratio of 0.90 (training) - 0.05 (validation) - 0.05 (testing), 30 neurons in the hidden layer, tansig activation in the hidden layer, and purelin in the output layer. The training was carried out using the Levenberg-Marquardt algorithm with gradient descent with momentum-based learning over 10 epochs. This configuration achieved an R² of 0.9997 and an MSE of 10.80, significantly outperforming the regression models. The findings confirm that FFBPNN provides a more robust and accurate framework for modelling complex, nonlinear trends in year-based CEPCI data, offering substantial advantages over traditional regression methods in both precision and generalizability.

International Journal of Apllied MathematicsVol. 38(3s)
Openalex Percentile: Top 67%
Industrial Technology and Control Systems
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.