A Memetic Differential Evolution Algorithm Based on Dynamic Preference for Constrained Optimization Problems

Table 5

Statistical results obtained by MDEDP for 10 among 13 test functions over 30 independent runs with different weighting vectors in stage one.

fcn/opt.	Status	𝜔=(0.1,0.9)	𝜔=(0.2,0.8)	𝜔=(0.3,0.7)	𝜔=(0.4,0.6)	𝜔=(0.5,0.5)
g01/−15.0000	Best	−15	−15	−15	−15	−15
	Median	−15	−15	−15	−15	−15
	Mean	−15	−15	−15	−15	−15
	Worst	−15	−15	−15	−15	−15
	Std.	0	2.1𝐸−14	1.4𝐸−14	1.2𝐸−14	1.6𝐸−14
g03/−1.0005	Best	−1.0005	−1.0005	−1.0005	−1.0005	−1.0005
	Median	−1.0005	−1.0005	−1.0005	−1.0005	−1.0005
	Mean	−1.0005	−1.0005	−1.0005	−1.0005	−1.0005
	Worst	−1.0005	−1.0005	−1.0005	−1.0005	−1.0005
	Std.	2.9𝐸−07	2.4𝐸−06	3.3𝐸−06	4.0𝐸−06	1.3𝐸−06
g05/5126.49671	Best	5126.49671	5126.49671	5126.49671	5126.49671	5126.49671
	Median	5126.49671	5126.49671	5126.49671	5126.49671	5126.49671
	Mean	5126.49671	5126.49671	5126.49671	5126.49671	5126.49671
	Worst	5126.49671	5126.49671	5126.49671	5126.49671	5126.49671
	Std.	3.0𝐸−12	4.8𝐸−12	3.9𝐸−12	4.0𝐸−12	3.0𝐸−12
g06/−6961.814	Best	−6961.814	−6961.814	−6961.814	−6961.814	−6961.814
	Median	−6961.814	−6961.814	−6961.814	−6961.814	−6961.814
	Mean	−6961.814	−6961.814	−6961.814	−6961.814	−6961.814
	Worst	−6961.814	−6952.814	−6961.814	−6961.814	−6961.814
	Std.	1.8𝐸−12	1.8𝐸−12	1.8𝐸−12	1.8𝐸−12	1.9𝐸−12
g07/24.306	Best	24.306	24.306	24.306	24.306	24.306
	Median	24.306	24.306	24.306	24.306	24.306
	Mean	24.306	24.306	24.306	24.306	24.306
	Worst	24.306	24.306	24.306	24.306	24.306
	Std.	4.6𝐸−06	3.5𝐸−06	7.6𝐸−06	3.2𝐸−06	5.3𝐸−06
g08/−0.095825	Best	−0.095825	−0.095825	−0.095825	−0.095825	−0.095825
	Median	−0.095825	−0.095825	−0.095825	−0.095825	−0.095825
	Mean	−0.095825	−0.095825	−0.095825	−0.095825	−0.095825
	Worst	−0.095825	−0.095825	−0.095825	−0.095825	−0.095825
	Std.	8.4𝐸−17	8.4𝐸−17	8.4𝐸−17	8.4𝐸−17	8.4𝐸−17
g09/680.630	Best	680.630	680.630	680.630	680.630	680.630
	Median	680.630	680.630	680.630	680.630	680.630
	Mean	680.630	680.630	680.630	680.630	680.630
	Worst	680.630	680.630	680.630	680.630	680.630
	Std.	5.2𝐸−10	1.1𝐸−11	5.5𝐸−08	3.2𝐸−07	5.2𝐸−10
g10/7049.248	Best	7049.249	7049.258	7049.252	7049.258	7049.249
	Median	7049.257	7049.357	7049.372	7049.344	7049.250
	Mean	7049.258	7049.382	7049.405	7049.370	7049.258
	Worst	7049.311	7049.901	7049.773	7049.785	7049.311
	Std.	1.1𝐸−02	1.3𝐸−01	1.3𝐸−01	1.0𝐸−01	2.8𝐸−02
g11/0.7499	Best	0.7499	0.7499	0.7499	0.7499	0.7499
	Median	0.7499	0.7499	0.7499	0.7499	0.7499
	Mean	0.7499	0.7499	0.7499	0.7499	0.7499
	Worst	0.7499	0.7499	0.7499	0.7499	0.7499
	Std.	3.4𝐸−16	3.4𝐸−16	3.4𝐸−16	3.4𝐸−16	3.4𝐸−16
g13/0.0539415	Best	0.05395415	0.05395415	0.05395415	0.05395415	0.05395415
	Median	0.05395415	0.05395415	0.05395415	0.05395415	0.05395415
	Mean	0.05395415	0.05395415	0.05395415	0.05395415	0.05395415
	Worst	0.05395415	0.05395415	0.05395415	0.05395415	0.05395415
	Std.	1.3𝐸−12	6.1𝐸−11	4.4𝐸−12	3.8𝐸−10	1.3𝐸−12