Table 6 Comparative performance of NCRBMO against competitors on the CEC2017 test functions: F1-F11.

From: Hybrid prediction system for reliable multi-seasonal sustainable energy generation under meteorological and environmental volatility

Types

Metrics

NCRBMO*

PO

HO

BKA

APO

DBO

SCSO

WOA

F1

Best

877.9476

2.35E + 09

1.20E + 08

2.46E + 09

1.25E + 05

7.06E + 07

4.62E + 09

3.15E + 09

STD

2.17E + 03

7.76E + 08

6.48E + 08

1.55E + 10

1.21E + 05

2.76E + 08

3.24E + 09

1.71E + 09

Mean

2.72E + 03

3.43E + 09

1.02E + 09

1.33E + 10

2.60E + 05

3.53E + 08

7.31E + 09

4.65E + 09

Median

1.51E + 03

3.24E + 09

1.13E + 09

7.07E + 09

2.80E + 05

3.64E + 08

6.03E + 09

3.88E + 09

Worst

5.84E + 03

4.31E + 09

1.75E + 09

4.06E + 10

4.36E + 05

7.70E + 08

1.28E + 10

7.43E + 09

Rank

1*

5

4

8

2

3

7

6

F3

Best

511.989

5.35E + 04

4.88E + 04

2.17E + 04

3.53E + 03

6.10E + 04

5.29E + 04

2.21E + 05

STD

119.9946

1.19E + 04

9.27E + 03

2.27E + 04

4.62E + 03

1.19E + 04

7.78E + 03

7.46E + 04

Mean

583.5727

6.86E + 04

6.05E + 04

4.05E + 04

8.90E + 03

7.99E + 04

5.89E + 04

3.12E + 05

Median

525.0155

7.54E + 04

6.24E + 04

3.47E + 04

8.02E + 03

8.03E + 04

5.57E + 04

3.31E + 05

Worst

794.3523

7.81E + 04

7.03E + 04

8.00E + 04

1.62E + 04

9.13E + 04

7.13E + 04

3.98E + 05

Rank

1*

7

5

3

2

6

4

8

F4

Best

471.3063

636.6164

561.0502

724.4546

512.6517

558.9117

730.9125

1.10E + 03

STD

7.1118

206.21

153.1609

919.8886

25.0689

136.3832

168.2978

99.7767

Mean

481.3746

781.145

767.0349

1.31E + 03

529.2186

681.0977

885.96

1.20E + 03

Median

483.3162

660.6838

741.6573

926.912

515.3479

648.2703

805.1432

1.16E + 03

Worst

488.7806

1.12E + 03

973.1472

2.94E + 03

571.5254

898.8745

1.15E + 03

1.32E + 03

Rank

1*

4

5

8

2

3

6

7

F5

Best

560.6924

693.1711

729.5782

689.8715

550.1448

729.7719

697.4884

751.5077

STD

24.3448

53.3897

23.2356

71.3088

42.678

39.5704

38.429

39.7776

Mean

583.3622

771.136

752.0358

746.9928

581.0089

775.4524

747.0196

817.0405

Median

588.5511

789.5522

745.0126

701.5982

560.7987

781.0459

764.7001

819.305

Worst

617.4047

816.3829

777.7987

846.032

653.7407

832.8417

784.1799

855.9311

Rank

1*

3

4

5

2

7

6

8

F6

Best

600.8879

665.8652

647.255

652.0189

601.6581

644.6677

658.7806

671.0054

STD

3.126

4.8983

8.8485

4.5708

1.3382

7.0536

8.1263

9.2034

Mean

601.7693

671.0802

658.236

659.36

602.923

651.9393

667.2851

682.5317

Median

603.6708

672.4083

657.0599

661.1477

602.421

651.7323

665.0358

683.3485

Worst

608.5495

676.6549

668.7176

663.9776

605.0699

663.1093

680.5342

694.0885

Rank

1*

7

4

5

2

3

6

8

F7

Best

791.4683

1.15E + 03

1.02E + 03

1.21E + 03

806.2139

996.816

1.07E + 03

1.25E + 03

STD

27.455

86.3243

81.9822

38.9035

60.6607

43.4191

104.9685

58.1279

Mean

815.581

1.24E + 03

1.15E + 03

1.24E + 03

850.506

1.05E + 03

1.24E + 03

1.33E + 03

Median

805.4427

1.25E + 03

1.15E + 03

1.22E + 03

821.8294

1.07E + 03

1.24E + 03

1.33E + 03

Worst

853.5165

1.36E + 03

1.25E + 03

1.30E + 03

951.2173

1.09E + 03

1.36E + 03

1.39E + 03

Rank

1*

6

4

7

2

3

5

8

F8

Best

844.7731

1.01E + 03

897.9922

940.4127

953.01

955.8625

953.3655

1.04E + 03

STD

18.5793

34.7876

31.6707

27.5642

18.0018

51.5708

17.472

67.2731

Mean

865.8661

1.05E + 03

947.2679

981.2323

976.8798

1.04E + 03

970.9716

1.09E + 03

Median

860.6924

1.05E + 03

954.0625

992.0891

979.9983

1.04E + 03

963.1324

1.06E + 03

Worst

893.5259

1.08E + 03

979.8299

1.01E + 03

999.363

1.08E + 03

996.5319

1.18E + 03

Rank

1*

7

2

5

4

6

3

8

F9

Best

1.07E + 03

6.79E + 03

5.48E + 03

4.12E + 03

960.0407

3.15E + 03

5.19E + 03

5.40E + 03

STD

189.3049

887.9134

522.2079

795.3638

43.7392

1.73E + 03

524.3892

5.42E + 03

Mean

1.28E + 03

7.71E + 03

6.24E + 03

5.48E + 03

998.8557

4.94E + 03

6.05E + 03

1.22E + 04

Median

1.21E + 03

7.34E + 03

6.20E + 03

5.74E + 03

980.2699

4.16E + 03

6.10E + 03

1.37E + 04

Worst

1.52E + 03

8.75E + 03

6.84E + 03

6.08E + 03

1.07E + 03

7.47E + 03

6.55E + 03

1.91E + 04

Rank

2*

7

5

4

1

3

6

8

F10

Best

3.71E + 03

6.11E + 03

5.27E + 03

4.50E + 03

5.25E + 03

5.24E + 03

5.67E + 03

6.60E + 03

STD

434.3403

495.4932

472.8208

1.63E + 03

1.64E + 03

1.25E + 03

564.2828

1.06E + 03

Mean

4.20E + 03

6.91E + 03

5.89E + 03

5.90E + 03

7.12E + 03

6.19E + 03

6.31E + 03

7.86E + 03

Median

4.25E + 03

7.11E + 03

6.04E + 03

5.61E + 03

7.87E + 03

5.71E + 03

6.63E + 03

8.33E + 03

Worst

4.85E + 03

7.30E + 03

6.33E + 03

8.61E + 03

8.71E + 03

8.37E + 03

6.86E + 03

8.82E + 03

Rank

1*

6

2

3

7

4

5

8

F11

Best

1.15E + 03

1.82E + 03

1.54E + 03

1.31E + 03

1.19E + 03

1.49E + 03

1.45E + 03

6.33E + 03

STD

44.5805

503.0346

388.0997

1.28E + 03

29.1976

1.42E + 03

605.4832

2.92E + 03

Mean

1.19E + 03

2.60E + 03

1.92E + 03

1.97E + 03

1.24E + 03

2.55E + 03

1.93E + 03

9.14E + 03

Median

1.16E + 03

2.68E + 03

1.89E + 03

1.44E + 03

1.25E + 03

1.53E + 03

1.84E + 03

8.75E + 03

Worst

1.25E + 03

3.20E + 03

2.46E + 03

4.25E + 03

1.26E + 03

4.10E + 03

2.96E + 03

1.34E + 04

Rank

1*

6

3

5

2

7

4

8

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