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

Table 3

Optimization results of various algorithms for the cantilever beam problem.

Variables and objective function	MOIRCGA	RCGA in reference [50]	IRCGA-1	IRCGA-2	IRCGA-3	SPXMOGA	HGA
b1	3.0530	3.0459	3.005	3.0602	3.0450	3.0300	3.0442
h1	60.9997	60.8969	60.004	61.2010	60.8763	59.6231	60.8812
b2	2.8062	2.8018	3.0051	2.8160	2.8023	3.2011	2.8022
h2	56.1227	56.0168	55.10	56.3020	56.0430	55.2301	56.0432
b3	2.5236	2.5251	2.601	2.6020	2.5253	2.5891	2.5253
h3	50.4718	50.4643	50.10	50.6970	50.5041	50.0620	50.5041
b4	2.2063	2.2252	2.31	2.2237	2.2210	2.3001	2.2210
h4	44.1253	44.4745	45.46	44.2758	44.4170	45.5310	44.4167
b5	1.7498	1.7678	1.79	1.7513	1.7500	1.7921	1.7499
h5	34.9948	34.8462	35.004	35.0131	34.9950	34.5863	34.9949
f(x)	62968.18	63044.17	64387.29	63752.19	62984.70	65377.86	62980.39