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A new integrated model of the group method of data handling and the firefly algorithm (GMDH-FA): application to aeration modelling on spillways.

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Title: A new integrated model of the group method of data handling and the firefly algorithm (GMDH-FA): application to aeration modelling on spillways.
Authors: Mahdavi-Meymand, Amin1 (AUTHOR), Zounemat-Kermani, Mohammad1 (AUTHOR) zounemat@uk.ac.ir
Source: Artificial Intelligence Review. Apr2020, Vol. 53 Issue 4, p2549-2569. 21p.
Subjects: GMDH algorithms, Spillways, Quality factor, Air flow, Flow velocity, Cavitation erosion
Abstract: Due to the high flow velocity over dam spillways and outlets, severe cavitation damage might occur to the structures. Aeration (introducing air into the passing flow) is a useful remedy for preventing or decreasing cavitation, however, proper estimation of aerators air demand is a complex problem. On that account, the standard GMDH model, integrated GMDH-HS (with the harmony search algorithm) model and a novel integrated GMDH-FA model (with the firefly algorithm), were developed and applied to estimate air demand on spillway aerators in dams. Input parameters including flow rate (Qw), flow depth (d0), relative pressure under the jet (hs), ramp angle (α), step height (s), and spillway slope (θ) were applied as the effective factors for estimating the amount of air flow of the aerators (Qa). General results based on several statistical measures (NRMSE, PCC, NMAE, NSE) and the test of ANOVA for models' residuals, showed that the standard GMDH improved the accuracy of estimating air flow in comparison to empirical equations (an average enhanced efficiency of 59.86% in terms of NRMSE) and multiple linear regression method (an enhanced efficiency of 37.15% in terms of NRMSE). Moreover, findings of the research revealed that the FA and HS algorithms improved the performance of the standard GMDH equal to 17% and 13%, respectively. [ABSTRACT FROM AUTHOR]
Copyright of Artificial Intelligence Review is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A new integrated model of the group method of data handling and the firefly algorithm (GMDH-FA): application to aeration modelling on spillways.
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  Data: <searchLink fieldCode="AR" term="%22Mahdavi-Meymand%2C+Amin%22">Mahdavi-Meymand, Amin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zounemat-Kermani%2C+Mohammad%22">Zounemat-Kermani, Mohammad</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zounemat@uk.ac.ir</i>
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  Data: <searchLink fieldCode="JN" term="%22Artificial+Intelligence+Review%22">Artificial Intelligence Review</searchLink>. Apr2020, Vol. 53 Issue 4, p2549-2569. 21p.
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  Data: <searchLink fieldCode="DE" term="%22GMDH+algorithms%22">GMDH algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Spillways%22">Spillways</searchLink><br /><searchLink fieldCode="DE" term="%22Quality+factor%22">Quality factor</searchLink><br /><searchLink fieldCode="DE" term="%22Air+flow%22">Air flow</searchLink><br /><searchLink fieldCode="DE" term="%22Flow+velocity%22">Flow velocity</searchLink><br /><searchLink fieldCode="DE" term="%22Cavitation+erosion%22">Cavitation erosion</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Due to the high flow velocity over dam spillways and outlets, severe cavitation damage might occur to the structures. Aeration (introducing air into the passing flow) is a useful remedy for preventing or decreasing cavitation, however, proper estimation of aerators air demand is a complex problem. On that account, the standard GMDH model, integrated GMDH-HS (with the harmony search algorithm) model and a novel integrated GMDH-FA model (with the firefly algorithm), were developed and applied to estimate air demand on spillway aerators in dams. Input parameters including flow rate (Qw), flow depth (d0), relative pressure under the jet (hs), ramp angle (α), step height (s), and spillway slope (θ) were applied as the effective factors for estimating the amount of air flow of the aerators (Qa). General results based on several statistical measures (NRMSE, PCC, NMAE, NSE) and the test of ANOVA for models' residuals, showed that the standard GMDH improved the accuracy of estimating air flow in comparison to empirical equations (an average enhanced efficiency of 59.86% in terms of NRMSE) and multiple linear regression method (an enhanced efficiency of 37.15% in terms of NRMSE). Moreover, findings of the research revealed that the FA and HS algorithms improved the performance of the standard GMDH equal to 17% and 13%, respectively. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Artificial Intelligence Review is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1007/s10462-019-09741-4
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      – Code: eng
        Text: English
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        StartPage: 2549
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      – SubjectFull: GMDH algorithms
        Type: general
      – SubjectFull: Spillways
        Type: general
      – SubjectFull: Quality factor
        Type: general
      – SubjectFull: Air flow
        Type: general
      – SubjectFull: Flow velocity
        Type: general
      – SubjectFull: Cavitation erosion
        Type: general
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      – TitleFull: A new integrated model of the group method of data handling and the firefly algorithm (GMDH-FA): application to aeration modelling on spillways.
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            NameFull: Mahdavi-Meymand, Amin
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            NameFull: Zounemat-Kermani, Mohammad
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              M: 04
              Text: Apr2020
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              Y: 2020
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