An Improved Nonlinear Grey Bernoulli Model Based on the Whale Optimization Algorithm and Its Application
In order to improve the prediction performance of the existing nonlinear grey Bernoulli model and extend its applicable range, an improved nonlinear grey Bernoulli model is presented by using a grey modeling technique and optimization methods. First, the traditional whitening equation of nonlinear g...
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2021-01-01
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2021/6691724 |
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doaj-fc0bc03a81724442a487f41f5370a5242021-03-22T00:04:01ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/6691724An Improved Nonlinear Grey Bernoulli Model Based on the Whale Optimization Algorithm and Its ApplicationJianming Jiang0Ting Feng1Caixia Liu2School of Mathematics and StatisticsSchool of Mathematics and StatisticsInstitute of EduInfo Science & EngineeringIn order to improve the prediction performance of the existing nonlinear grey Bernoulli model and extend its applicable range, an improved nonlinear grey Bernoulli model is presented by using a grey modeling technique and optimization methods. First, the traditional whitening equation of nonlinear grey Bernoulli model is transformed into its linear formulae. Second, improved structural parameters of the model are proposed to eliminate the inherent error caused by the leap jumping from the differential equation to the difference one. As a result, an improved nonlinear grey Bernoulli model is obtained. Finally, the structural parameters of the model are calculated by the whale optimization algorithm. The numerical results of several examples show that the presented model’s prediction accuracy is higher than that of the existing models, and the proposed model is more suitable for these practical cases.http://dx.doi.org/10.1155/2021/6691724 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jianming Jiang Ting Feng Caixia Liu |
spellingShingle |
Jianming Jiang Ting Feng Caixia Liu An Improved Nonlinear Grey Bernoulli Model Based on the Whale Optimization Algorithm and Its Application Mathematical Problems in Engineering |
author_facet |
Jianming Jiang Ting Feng Caixia Liu |
author_sort |
Jianming Jiang |
title |
An Improved Nonlinear Grey Bernoulli Model Based on the Whale Optimization Algorithm and Its Application |
title_short |
An Improved Nonlinear Grey Bernoulli Model Based on the Whale Optimization Algorithm and Its Application |
title_full |
An Improved Nonlinear Grey Bernoulli Model Based on the Whale Optimization Algorithm and Its Application |
title_fullStr |
An Improved Nonlinear Grey Bernoulli Model Based on the Whale Optimization Algorithm and Its Application |
title_full_unstemmed |
An Improved Nonlinear Grey Bernoulli Model Based on the Whale Optimization Algorithm and Its Application |
title_sort |
improved nonlinear grey bernoulli model based on the whale optimization algorithm and its application |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1563-5147 |
publishDate |
2021-01-01 |
description |
In order to improve the prediction performance of the existing nonlinear grey Bernoulli model and extend its applicable range, an improved nonlinear grey Bernoulli model is presented by using a grey modeling technique and optimization methods. First, the traditional whitening equation of nonlinear grey Bernoulli model is transformed into its linear formulae. Second, improved structural parameters of the model are proposed to eliminate the inherent error caused by the leap jumping from the differential equation to the difference one. As a result, an improved nonlinear grey Bernoulli model is obtained. Finally, the structural parameters of the model are calculated by the whale optimization algorithm. The numerical results of several examples show that the presented model’s prediction accuracy is higher than that of the existing models, and the proposed model is more suitable for these practical cases. |
url |
http://dx.doi.org/10.1155/2021/6691724 |
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