An Improved Real-Coded Genetic Algorithm Using the Heuristical Normal Distribution and Direction-Based Crossover

Table 4

The constrained values of various algorithms for cantilever beam problem.

Constrained values	MOIRCGA	RCGA in reference [50]	IRCGA-1	IRCGA-2	IRCGA-3	SPXMOGA	HGA
	−0.6458	−0.5814	−0.1051	−0.7479	−0.5702	−0.0571	−0.5691
	−0.2675	−0.2205	−0.5521	−0.3551	−0.2301	−1.1931	−0.2299
	−0.0000	−0.0020	0.0999	−0.2590	−0.0126	−0.0602	−0.0126
	−0.0000	−0.1158	−0.4782	−0.0635	−0.0860	−0.4726	−0.0860
	−0.0000	−0.00370	−0.0505	−0.0041	−0.0003	−0.0009	−0.0002
	−0.0036	−0.00074	−0.0238	−0.2136	−0.0005	−0.1487	−0.0003
	−0.0603	−0.02241	−0.096	−0.0030	−0.0237	−0.9769	−0.0028
	−0.0013	−0.02071	−5.002	−0.0180	−0.0030	−8.7919	−0.0008
	−0.0002	−0.03804	−1.92	−1.3430	−0.0019	−1.7200	−0.0019
	−0.0007	−0.03109	−0.74	−0.1982	−0.0030	−0.4710	−0.0033
	−0.0012	−0.51026	−0.796	−0.0129	−0.0050	−1.2557	−0.0031