Table 8 The best design obtained by different algorithms on cantilever beam design problem.

From: Enhancing engineering optimization using hybrid sine cosine algorithm with Roulette wheel selection and opposition-based learning

Optimization technique

Optimal parameters

Optimal weight

x1

x2

x3

x4

x5

nSCA (This study)

5.944606

4.865280

4.503500

3.492579

2.134620

1.303342

SCSO53

6.0164

5.3060

4.4935

3.5059

2.1516

1.339952

PSO53

6.0040

5.2950

4.4915

3.5125

2.1710

1.339983

RCGO54

6.020877

6.020877

6.020877

6.020877

6.020877

1.33996

ERHHO55

6.0509

5.2639

4.514

3.4605

2.1878

1.3402

GSA56

5.6052

4.9553

5.6619

3.1959

3.2026

1.41

GCA_I57

6.0100

5.3000

4.4900

3.4900

2.1500

1.3400

GCA_II57

6.0100

5.3000

4.4900

3.4900

2.1500

1.3400

MMA57

6.0100

5.3000

4.4900

3.4900

2.1500

1.3400