Multi-objective shape optimization of developable Bézier-like surfaces using non-dominated sorting genetic algorithm

Open Access

Table 1

Optimization results of control parameters and objective functions for models K1–K4.

Optimization parameters		MSSA	NSGA-II	MOGOA
Control parameters	λ₁	0.055877511	0.055877511	0.055877511
	λ₂	−0.009776853	−0.009776853	−0.009776853
	λ₃	0.107055186	0.025448503	0.102001368
Objective function value	m₁	−383564.7256	−383565.9373	−383564.8042
Objective function value	m₂	3789.181065	3822.222626	3791.028258
Control parameters	λ₁	0.20971211	−0.22576139	0.20971211
	λ₂	0.01549505	−0.16777051	0.01549505
	λ₃	0.11131884	0.11889576	0.31186633
Objective function value	m₁	−383562.1877	−383567.4744	−383558.6957
Objective function value	m₂	19350.56471	24893.02383	17477.77948
Control parameters	λ₁	0.56055333	0.54620926	0.54620926
	λ₂	0.00917097	0.00917097	0.00917097
	λ₃	0.55613241	0.53995858	0.53272784
Objective function value	m₁	3653.557347	3650.632477	3650.030595
Objective function value	m₂	13839.55037	13944.68548	13970.56956
Control parameters	λ₁	0.19115202	0.12094328	0.19115202
	λ₂	−0.00918123	0.00846505	−0.00918123
	λ₃	0.14426514	0.14426514	−0.12614374
Objective function value	m₁	−383561.9926	−383563.1471	−383565.7228
	m₂	3730.19846	3751.918888	3855.558338
	m₃	19191.59211	19929.21851	22796.68964

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