A New Filled Function Method with One Parameter for Global Optimization

Table 4

The results obtained by the proposed algorithm for solving Problem 9 with different dimensions.

No.	𝑟(>)	𝑞	f-mean	f-best	f-std	Ratio (%)
9 (𝑛=7)	1000	6028	7.5895𝑒−008	8.2743𝑒−008	0	100
9 (𝑛=10)	1000	6027	0.0012	8.3180𝑒−007	0.0020	97.10
9 (𝑛=12)	1.0𝑒+5	641.0518	1.5597𝑒−005	2.0935𝑒−010	1.1098𝑒−008	93.47
9 (𝑛=15)	1.0𝑒+6	972.1050	2.4116𝑒−005	1.8709𝑒−013	1.0032𝑒−005	89.78
9 (𝑛=20)	1.0𝑒+9	1321.3011	1.1602𝑒−004	8.2346𝑒−008	5.0653𝑒−006	85.57
9 (𝑛=30)	1.0𝑒+9	2666.1220	0.3012	5.3080𝑒−005	3.0120𝑒−004	89.87