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

Table 6

Performance comparison of the 72-bar truss.

Element group	Member	Cross-sectional areas (in^2)
		Cao [6]	Camp and Bichon [8]	Camp [20]		This work
		GA	ACO	BB-BC phase 1	BB-BC phase 2	DE	EDE	EDE-1	EDE-2	EDE-3	EDE-4
1	1–4	1.8562	1.948	1.9004	1.8577	1.9296	1.8770	1.9129	1.8924	1.8718	1.9469
2	5–12	0.4933	0.508	0.5252	0.5059	0.4989	0.5190	0.5153	0.5073	0.5114	0.5146
3	13–16	0.1	0.101	0.1	0.1	0.1021	0.1	0.1	0.1	0.1	0.1
4	17, 18	0.1	0.102	0.1	0.1	0.1	0.1	0.1001	0.1	0.1003	0.1
5	19–22	1.283	1.303	1.3134	1.2476	1.2747	1.2641	1.2698	1.2800	1.2692	1.2468
6	23–30	0.5028	0.511	0.4801	0.5269	0.5153	0.5055	0.5069	0.5167	0.5063	0.5092
7	31–34	0.1	0.101	0.1	0.1	0.1001	0.1	0.1	0.1	0.1001	0.1001
8	35, 36	0.1	0.1	0.1	0.1012	0.1	0.1	0.1	0.1	0.1	0.1
9	37–40	0.5177	0.561	0.5254	0.5209	0.5406	0.5201	0.5260	0.5054	0.5468	0.5251
10	41–48	0.5227	0.492	0.5267	0.5172	0.5061	0.5163	0.5138	0.5165	0.5217	0.5128
11	49–52	0.1	0.1	0.1016	0.1004	0.1008	0.1	0.1001	0.1	0.1004	0.1001
12	53, 54	0.1049	0.107	0.1253	0.1005	0.1018	0.1002	0.1001	0.1	0.1004	0.1
13	55–58	0.1557	0.156	0.1558	0.1565	0.1561	0.1564	0.1564	0.1568	0.1563	0.1565
14	59–66	0.5501	0.55	0.5456	0.5507	0.5477	0.5488	0.5488	0.5442	0.5445	0.5457
15	67–70	0.3981	0.39	0.4314	0.3922	0.4199	0.4170	0.4007	0.4089	0.4086	0.3997
16	71, 72	0.6749	0.592	0.5231	0.5922	0.5718	0.5640	0.5685	0.5791	0.5756	0.5721
Weightbest (lb)		380.32	380.24	380.46	379.85	379.939	379.645	379.656	379.652	379.708	379.694
Weightworst (lb)		−	−	−	−	386.970	380.476	380.063	383.078	380.356	381.039
Weightmean (lb)		−	383.16	384.75	382.08	380.618	379.807	379.808	379.910	379.954	380.008
Weightmedian (lb)		−	−	−	−	380.342	379.764	379.774	379.734	379.894	379.916
Weightstdev (lb)		−	3.66	2.434	1.912	1.251	0.184	0.108	0.618	0.159	0.332
Nanalyses		15000	18500	12679	6942	12000	12000	12000	12000	12000	12000