Mathematical Problems in Engineering

Research Article

Design Optimization of a Speed Reducer Using Deterministic Techniques

Table 3

Comparisons of optimal solutions of the speed reducer problem by different methods.
MethodsMethod typeReported solution ( Objective valueError in constraint
Ku et al. [6]Metaheuristic(3.6, 0.7, 17, 7.3, 7.8, 3.4, 5.0)2876.219475<100
Akhtar et al. [7]Metaheuristic(3.506122, 0.700006, 17, 7.549126, 7.859330, 3.365576, 5.289773)3008.197440<10−6
Rao and Xiong [8]Metaheuristic(3.5, 0.7, 17, 7.3, 7.8, 3.36, 5.29)3000.959715<10−6
Cagnina et al. [9]Metaheuristic(3.5, 0.7, 17, 7.3, 7.8, 3.350214, 5.286683)2996.347849<10−6
Jaberipour and Khorram [2]Metaheuristic(3.5, 0.7, 17, 7.3, 7.71533233833903, 3.35021510925684, 5.28666403545462)2994.477531<10−6
Li and Papalambros [5]Metaheuristic(3.5, 0.7, 17, 7.299999, 7.715317, 3.350541, 5.286654)2994.553869<10−6
Tosserams et al. [10]Deterministic(3.5, 0.7, 17, 7.3, 7.72, 3.35, 5.29)2996.645783<10−3
Lu and Kim [11]Deterministic(3.5, 0.7, 17, 7.3, 7.670396, 3.542421, 5.245814)3019.583365 <10−1
Lin et al. [18]Deterministic(3.5, 0.7, 17, 7.3, 7.715, 3.349, 5.286)2993.738921<10−2
Huang [20]Deterministic(3.495652, 0.7000002, 17, 7.30000007, 7.7120386, 3.343372, 5.285352)2990.124384<10−2
Proposed methodDeterministic(3.5, 0.7, 17.0, 7.3, 7.7153190, 3.350282, 5.286654)2994.471921<10−6