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Table 5 Comparison of trained parameters along with their fitness for GA and GA-SQP algorithms in case of problem 3

From: Memetic computing through bio-inspired heuristics integration with sequential quadratic programming for nonlinear systems arising in different physical models

Method

Proposed solutions

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t 1

t 2

t 3

t 4

t 5

GA-1

0.03228963

2.85389240

0.21989919

−0.85284380

0.03635484

6.6071E−05

GA-2

0.03754135

2.38952055

0.23779156

0.85132675

0.03623233

9.0098E−05

GA-3

0.06308618

1.18624138

0.32683618

0.84488974

0.03568812

2.6746E−04

GA-4

0.05434276

1.46521255

0.29761121

−0.84773318

0.03592740

1.9541E−04

GA-5

0.02704748

3.51739016

0.19943025

0.85423864

0.03648805

4.5340E−05

GA-6

0.02302472

4.24026955

0.18171406

0.85266824

0.03634051

3.8101E−05

GA-7

0.06294020

1.18814861

0.32687402

−0.84344415

0.03555521

2.6983E−04

GA-8

0.06329114

1.14885683

−0.33415631

−0.84616131

0.03575514

2.8793E−04

GA-9

0.03477842

2.60523708

0.22955001

0.85209604

0.03630524

7.6619E−05

GA-10

0.03333412

2.61711165

0.23398167

0.85554477

0.03670055

1.2481E−04

GA-11

0.06151041

1.23009392

−0.32203695

−0.84478930

0.03567868

2.5537E−04

GA-12

0.05962671

1.14482903

0.33821936

−0.83854375

0.03516478

3.9369E−04

GA-SQP-1

0.00275613

39.25753931

−0.06137573

0.85972527

0.03698507

6.6525E−16

GA-SQP-2

0.00311281

34.61266395

0.06502805

0.85937893

0.03695189

1.4845E−15

GA-SQP-3

0.00275605

39.25869183

−0.06137484

0.85972528

0.03698507

4.2918E−16

GA-SQP-4

0.00275616

39.25721209

−0.06137599

0.85972527

0.03698506

4.0331E−17

GA-SQP-5

0.00275615

39.25724045

−0.06137596

0.85972527

0.03698506

3.6564E−16

GA-SQP-6

0.00275614

39.25739493

−0.06137584

0.85972527

0.03698507

4.1288E−16

GA-SQP-7

0.00311297

34.61091320

0.06502969

0.85937892

0.03695189

2.6794E−16

GA-SQP-8

0.00311298

34.61075588

0.06502984

0.85937892

0.03695189

1.5478E−16

GA-SQP-9

0.00311294

34.61123963

0.06502938

0.85937892

0.03695189

1.3468E−15

GA-SQP-10

0.00275615

39.25730254

−0.06137592

0.85972527

0.03698506

4.0902E−16

GA-SQP-11

0.00275613

39.25760857

−0.06137568

0.85972527

0.03698507

6.9394E−16

GA-SQP-12

0.00311298

34.61075277

0.06502984

0.85937892

0.03695189

6.8128E−16