Table 43 Comparison of results for multi-pass milling process problem

From: Cohort intelligence with self-adaptive penalty function approach hybridized with colliding bodies optimization algorithm for discrete and mixed variable constrained problems

Methods Cutting strategy \({f}_{z}\, (\mathrm{mm}/\mathrm{tooth})\) \(V \,(\mathrm{m}/\mathrm{min})\) Arbor stress constraint Arbor deflection constraint Power constraint \({T}_{pr}\, (\mathrm{min})\)
ABC (Rao et al. 2010) \({a}_{rough}=1.5\) 0.337 46.982 4.708 435.02 0.004 3.24
\({a}_{rough}=1.5\) 0.337 46.982 4.708 435.02 0.004
\({a}_{rough}=1.5\) 0.337 46.982 4.708 435.02 0.004
\({a}_{finish}=0.5\) 0.432 64.41 271.97 1.131 1.400
PSO (Rao et al. 2010) \({a}_{rough}=1.5\) 0.34 46.61 1.5 431.9 0.01 3.24
\({a}_{rough}=1.5\) 0.34 46.61 1.5 431.9 0.01
\({a}_{rough}=1.5\) 0.34 46.61 1.5 431.9 0.01
\({a}_{finish}=0.5\) 0.434 63.58 271.9 0.35 1.422
SA (Rao et al. 2010) \({a}_{rough}=1.5\) 0.336 44.633 1.5 436.1 0.204 3.26
\({a}_{rough}=1.5\) 0.336 44.633 1.5 436.1 0.204
\({a}_{rough}=1.5\) 0.336 44.633 1.5 436.1 0.204
\({a}_{finish}=0.5\) 0.429 57.23 273.91 2.296 1.683
CBO \({a}_{rough}=1.5\) 2.1204 33.6372 − 3076.7856 − 7298.4319 − 3839.6497 2.23
\({a}_{rough}=1.5\) 2.1204 33.6372 − 3076.7856 − 7298.4319 − 3839.6497
\({a}_{rough}=1.5\) 2.1204 33.6372 − 3076.7856 − 7298.4319 − 3839.6497
\({a}_{finish}=0.5\) 0.5144 31.4737 − 4695.8656 − 2031.3311 − 3848.6419
CI–SAPF \({{\varvec{a}}}_{{\varvec{r}}{\varvec{o}}{\varvec{u}}{\varvec{g}}{\varvec{h}}}=1.5\) 0.9396 30.0021 − 3911.8995 − 8133.5458 − 3844.8622 2.16
\({{\varvec{a}}}_{{\varvec{r}}{\varvec{o}}{\varvec{u}}{\varvec{g}}{\varvec{h}}}=1.5\) 0.9396 30.0021 − 3911.8995 − 8133.5458 − 3844.8622
\({{\varvec{a}}}_{{\varvec{r}}{\varvec{o}}{\varvec{u}}{\varvec{g}}{\varvec{h}}}=1.5\) 0.9396 30.0021 − 3911.8995 − 8133.5458 − 3844.8622
\({{\varvec{a}}}_{{\varvec{f}}{\varvec{i}}{\varvec{n}}{\varvec{i}}{\varvec{s}}{\varvec{h}}}=0.5\) 0.8222 30.0686 − 4589.8176 − 1925.2832 − 3848.1815
CI–SAPF–CBO \({{\varvec{a}}}_{{\varvec{r}}{\varvec{o}}{\varvec{u}}{\varvec{g}}{\varvec{h}}}=1.5\) 0.6686 30.0012 − 4139.5509 − 8361.1971 − 3845.9783 2.15
\({{\varvec{a}}}_{{\varvec{r}}{\varvec{o}}{\varvec{u}}{\varvec{g}}{\varvec{h}}}=1.5\) 0.6686 30.0012 − 4139.5509 − 8361.1971 − 3845.9783
\({{\varvec{a}}}_{{\varvec{r}}{\varvec{o}}{\varvec{u}}{\varvec{g}}{\varvec{h}}}=1.5\) 0.6686 30.0012 − 4139.5509 − 8361.1971 − 3845.9783
\({{\varvec{a}}}_{{\varvec{f}}{\varvec{i}}{\varvec{n}}{\varvec{i}}{\varvec{s}}{\varvec{h}}}=0.5\) 0.5350 30.0406 -4688.3005 − 2023.7660 − 3848.6666