Two Strategies to Improve the Differential Evolution Algorithm for Optimizing Design of Truss Structures

Table 1

Performance comparison for the 10-bar truss.

Element group	Member	Cross-sectional areas (in^2)
		Camp et al. [5]	Kaveh and Talatahari [28]	Lu et al. [29]			This work
		GA	HPSACO	PSO	PSOPC	AugPSO	DE	EDE	EDE-1	EDE-2	EDE-3	EDE-4
1	1	28.92	30.307	20.149	25.923	30.457	30.272	30.542	30.559	30.501	30.721	30.570
2	2	0.1	0.1	0.1	0.39	0.1	0.1	0.1	0.1	0.1	0.1	0.1
3	3	24.07	23.434	32.233	23.247	23.584	23.425	23.203	23.317	23.304	23.175	23.232
4	4	13.96	15.505	14.831	18.208	15.029	14.842	15.233	15.193	15.261	15.295	15.172
5	5	0.1	0.1	0.1	0.108	0.1	0.1	0.1	0.1	0.1	0.1	0.1
6	6	0.56	0.5241	0.116	0.1	0.564	0.559	0.530	0.526	0.547	0.551	0.556
7	7	7.69	7.4365	8.349	9.007	7.42	7.445	7.456	7.448	7.439	7.466	7.448
8	8	21.95	21.079	28.039	26.629	20.987	21.128	21.019	21.020	20.961	21.023	20.969
9	9	22.09	21.229	22.909	18.736	21.524	21.745	21.539	21.486	21.540	21.361	21.582
10	10	0.1	0.1	3.066	0.196	0.1	0.1	0.1	0.1	0.1	0.1	0.1
Weightbest (lb)		5076.31	5056.56	5,606.036	5,225.282	5,061.209	5061.578	5060.896	5060.951	5060.899	5060.987	5060.900
Weightworst (lb)		—	—	7,008.815	5,854.163	5,179.516	5066.422	5076.892	5076.791	5076.687	5062.822	5076.907
Weightmean (lb)		—	—	6,256.895	5,425.074	5,103.484	5063.490	5061.734	5061.719	5061.878	5061.517	5061.930
Weightmedian (lb)		—	—	—	—	—	5062.980	5061.098	5061.097	5061.120	5061.342	5061.207
Weightstdev (lb)		—	—	370.071	175.764	31.755	1.310	2.877	2.864	2.885	0.500	2.901
N analyses		15000	—	—	—	—	10000	10000	10000	10000	10000	10000

Note. indicates that the result violates constraint.