A New Filled Function Method with One Parameter for Global Optimization

Table 2

The results obtained by the proposed algorithm.

No.	𝑟(>)	𝑞	𝑥^∗𝑘	f-mean	f-best	f-std	Ratio (%)
2 (𝑐=0.2); (𝑛=2)	100	78.5510	(1.5909; −0.2703); (0.9997; −0.0005); (1.8784; −0.3458); (0.9820; −0.0565)	3.6840𝑒−010	6.2589𝑒−017	1.8044𝑒−009	100
2 (𝑐=0.5); (𝑛=2)	100	67.5000	(1; 0); (1.5872; −0.2606); (1.8973; −0.3005)	1.0221𝑒−012	0	2.0430𝑒−012	100
2 (𝑐=0.05); (𝑛=2)	100	80.7500	(1.8513; −0.4021); (1.5975; −0.2874)	2.9402𝑒−10	2.8417𝑒−012	2.5634𝑒−008	100
3 (𝑛=2)	100	67.9796	(0; 0)	4.7567𝑒−009	0	1.2455𝑒−009	100
4 (𝑛=2)	100	84.2449	(0.0898; 0.7127); (−0.0898; −0.7127)	−1.0316	−1.0316	1.2574𝑒−007	100
5 (𝑛=2)	100	53.1224	(0; 0); (−2; 0)	3.5872𝑒−008	0	3.5668𝑒−008	100
6 (𝑛=2)	1000	64.9796	(0; −1)	3.0000	3.0000	8.6282𝑒−008	100
7 (𝑛=2)	100	625.4898	(4.8581; 5.4829); (5.4829; 4.8581)	−186.7309	−186.7309	1.0480𝑒−007	100
8 (𝑛=2)	100	357.1429	(0.0000; 0.0000)	−10.1529	−10.1529	6.7489𝑒−010	100
9 (𝑛=2)	100	107.6939	(1; 1)	1.8548𝑒−007	0	1.1284𝑒−007	100
9 (𝑛=3)	100	90.1429	(1; 1; 1)	5.6906𝑒−011	0	2.5855𝑒−007	95.92