Table 3 Permeate flux prediction at various stages using the proposed MWOA-ANN model.

From: Modified Whale Optimization Algorithm based ANN: a novel predictive model for RO desalination plant

Number of search agents (SA)

Results {Pflux (L/h m2)}

Training

Validation

Testing

All

R2 (%)

MSE

R2 (%)

MSE

R2 (%)

MSE

R2 (%)

MSE

1

98.1

0.012

98.2

0.019

98.8

0.014

98.1

0.014

2

98.4

0.011

98.0

0.022

99.7

0.007

98.3

0.013

3

98.9

0.006

98.5

0.016

99.5

0.012

98.7

0.008

4

99.1

0.005

98.1

0.020

98.8

0.012

98.7

0.008

5

98.5

0.008

98.6

0.014

97.7

0.027

98.4

0.010

6*

99.4

0.003

98.2

0.018

97.7

0.013

98.9

0.006

7

98.3

0.010

99.1

0.009

98.5

0.007

98.6

0.010

8*

99.2

0.004

98.1

0.019

99.0

0.013

98.8

0.008

9

99.2

0.005

97.6

0.026

99.4

0.007

98.7

0.009

10*

99.7

0.001

97.9

0.022

96.1

0.048

98.8

0.008

11

99.2

0.005

97.9

0.024

99.3

0.011

98.7

0.010

12

98.7

0.007

98.2

0.019

98.9

0.010

98.5

0.010

13*

99.5

0.002

98.2

0.017

99.7

0.009

99.1

0.005

14

98.4

0.010

98.2

0.019

98.9

0.025

98.3

0.012

15*

98.7

0.007

98.9

0.010

99.6

0.005

98.8

0.007

16*

99.2

0.004

98.1

0.021

99.8

0.004

98.9

0.007

17

99.4

0.003

97.4

0.030

96.3

0.020

98.6

0.009

18

97.8

0.013

98.3

0.022

98.4

0.012

97.9

0.015

19

98.7

0.007

97.5

0.024

97.5

0.025

98.2

0.011

20

98.7

0.011

98.3

0.026

99.2

0.012

98.5

0.014

  1. The number of search agents (SA) was selected as the optimization modeling parameter.
  2. *Significant predicted values for all datasets.