Table 6 Comparison of the best solution obtained from various studies for optimization problems
From: Hybrid inner-outer algorithm for solving real-world mechanical optimization problems
| Â | Â | Present work | TSA | GA-PSO-SQP | CI | GAMS | ABC | |
|---|---|---|---|---|---|---|---|---|
I-O array | (TD) (5%, 4%, 1.875%) | |||||||
Speed reducer | X1= | 3.6 | 3.49631 | NA | 3.5 | NA | NA | 3.499 |
X2= | 0.7 | 0.7 | 0.7 | 0.7 | ||||
X3= | 17 | 17 | 17 | 17 | ||||
X4= | 7.3 | 7.3 | 7.3 | 7.3 | ||||
X5= | 8.05 | 7.79862 | 7.7153 | 7.8 | ||||
X6= | 3.4 | 3.3311 | 3.35 | 3.3502 | ||||
X7= | 5.5 | 5.28843 | 5.286 | 5.2878 | ||||
F(x)= | 3195.21 | 2991.1355 | 2994.44355 | 2997.05841 | ||||
Pressure vessel | X1= | 6.1875 | 5.56875 | NA | 0.880944 | 0.81249 | NA | 0.8125 |
X2= | 0.0625 | 0.0625 | 0.433702 | 0.4375 | 0.4375 | |||
X3= | 105 | 99.75 | 45.634248 | 42.098446 | 42.098446 | |||
X4= | 10 | 10 | 137.24998 | 176.636 | 176.63659 | |||
F(x)= | 86236.6608 | 66916.8895 | 5798.7989 | 6059.7144 | 6059.71434 | |||
Gear train | X1= | 60 | 57 | NG | NA | NA | NA | 49 |
X2= | 12 | 13 | NG | 16 | ||||
X3= | 36 | 37 | NG | 19 | ||||
X4= | 60 | 58 | NG | 43 | ||||
F(x)= | 0.00058949 | 0. 147E-5 | 3.0389E−12 | 0 | ||||
Disc brake design | X1= | 55 | Â | NA | NA | NA | 55 | NA |
X2= | 75 | Â | 75 | |||||
X3= | 1000 | Â | 1561.39914 | |||||
X4= | 2 | Â | 2 | |||||
F(x)= | 0.1274 | Â | 0.1274 | |||||