Design Optimization of a Speed Reducer Using Deterministic Techniques

Table 1

Experiment results of the speed reducer problem by the proposed method under different numbers of break points.

No. of break points	No. of binary variables	Reported solution (𝑥1,𝑥2,𝑥3,𝑥4,𝑥5,𝑥6,𝑥7)	CPU time (mm:ss)	Objective value	Error in constraint
8	3	(3.5, 0.7, 17.0, 7.3, 7.714826, 3.347398, 5.286205)	00:07	2993.457535	0.002526473
16	4	(3.5, 0.7, 17.0, 7.3, 7.715248, 3.349748, 5.286589)	00:09	2994.308994	0.000418000
32	5	(3.5, 0.7, 17.0, 7.3, 7.715291, 3.350039, 5.286628)	00:10	2994.408856	0.000157319
64	6	(3.5, 0.7, 17.0, 7.3, 7.715313, 3.350187, 5.286648)	00:42	2994.459757	0.000024774
128	7	(3.5, 0.7, 17.0, 7.3, 7.715318, 3.353125, 5.286653)	01:27	2994.467375	0.000009551
256	8	(3.5, 0.7, 17.0, 7.3, 7.715320, 3.350213, 5.286654)	05:23	2994.470348	0.000001492
512	9	(3.5, 0.7, 17.0, 7.3, 7.715320, 3.350214, 5.286654)	15:09	2994.470603	0.000000596