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

Table 4

Performance comparison for the 25-bar truss under the two load cases.

Element group	Member	Cross-sectional areas (in^2)
		Schutte and Groenwold [12]	Camp and Bichon [8]	Camp [20]		Sonmez [10]	This work
		PSO	ACO	BB-BC phase 1	BB-BC phase 2	ABC	DE	EDE	EDE-1	EDE-2	EDE-3	EDE-4
1	1	0.01	0.01	0.01	0.01	0.011	0.01	0.01	0.011	0.01	0.01	0.01
2	2,3,4,5	2.122	2	2.092	2.092	1.979	1.969	1.986	1.972	1.986	1.987	1.987
3	6,7,8,9	2.893	2.966	2.964	2.964	3.003	3.015	2.995	3.003	2.995	2.994	2.994
4	10,11	0.01	0.01	0.01	0.01	0.01	0.01	0.01	0.011	0.01	0.01	0.01
5	12,13	0.01	0.012	0.01	0.01	0.01	0.01	0.01	0.01	0.01	0.01	0.01
6	14,15,16,17	0.671	0.689	0.689	0.689	0.69	0.697	0.684	0.690	0.684	0.683	0.684
7	18,19,20,21	1.611	1.679	1.601	1.601	1.679	1.682	1.677	1.686	1.677	1.677	1.677
8	22,23,24,25	2.717	2.668	2.686	2.686	2.652	2.641	2.662	2.650	2.662	2.663	2.662
Weightbest (lb)		545.21	545.53	545.48	545.38	545.19	545.319	545.163	545.245	545.163	545.164	545.163
Weightworst (lb)		—	—	—	—	—	546.096	545.196	545.570	546.906	545.210	545.441
Weightmean (lb)		546.84	546.34	546.4	545.78	—	545.514	545.166	545.386	545.224	545.169	545.180
Weightmedian (lb)		—	—	—	—	—	545.462	545.164	545.362	545.164	545.167	545.167
Weightstdev(lb)		1.478	0.94	0.653	0.491	—	0.204	0.007	0.092	0.318	0.009	0.051
Nanalyses		9596	16500	9746	10820	—	8000	8000	8000	8000	8000	8000