Table 3:
Minimum, mean values, and standard deviation for the benchmark function for
(represent up to three fractional points).
Function
Statistical measurement
CBFOA
BFOA
Minimum
1.525
1.319
3.262
1.715
1.456
3.305
Mean
2.160
1.613
3.392
2.267
1.741
3.437
Std. Dev.
0.225
0.113
0.048
0.270
0.146
0.052
Minimum
0.136
0.134
0.421
0.151
0.136
0.449
Mean
0.201
0.166
0.485
0.208
0.172
0.498
Std. Dev.
0.028
0.013
0.021
0.023
0.016
0.019
Minimum
164.455
152.077
2712.102
172.454
154.242
2895.302
Mean
197.770
175.040
2908.327
202.866
183.931
2980.910
Std. Dev.
15.348
11.728
86.705
15.732
11.577
85.742
Minimum
73.536
68.936
5233.215
74.104
70.381
5312.160
Mean
172.978
112.322
5641.901
163.977
104.736
5806.152
Std. Dev.
44.929
35.153
218.398
41.819
26.631
219.462
Minimum
0.932
0.811
75.667
0.935
0.850
78.766
Mean
1.302
1.054
88.812
1.363
1.106
91.327
Std. Dev.
0.193
0.095
4.865
0.195
0.113
4.838
Minimum
0.838
0.829
75.353
0.998
0.892
81.900
Mean
1.319
1.053
88.355
1.366
1.096
91.500
Std. Dev.
0.193
0.091
5.161
0.203
0.111
4.493
Minimum
23.091
19.592
15919.004
23.241
20.682
18340.260
Mean
33.173
25.865
19284.121
33.991
26.904
20135.431
Std. Dev.
4.810
2.804
1232.30
6.039
3.076
1050.504
Function
Statistical measurement
ABFOA
GA
Minimum
3.274
3.182
3.756
3.253
3.334
3.734
Mean
3.620
3.450
3.837
3.529
3.521
3.797
Std. Dev.
0.120
0.089
0.030
0.063
0.054
0.015
Minimum
0.299
0.256
0.542
0.248
0.225
0.512
Mean
0.428
0.363
0.648
0.299
0.273
0.560
Std. Dev.
0.059
0.039
0.040
0.020
0.019
0.014
Minimum
16.401
16.526
4265.352
337.504
354.976
4616.801
Mean
27.678
24.500
4559.012
405.755
401.736
4820.149
Std. Dev.
5.028
3.219
74.756
18.318
15.624
53.202
Minimum
52.703
49.708
8809.955
542.544
486.038
8413.197
Mean
669.706
233.259
9583.201
615.075
571.955
8814.362
Std. Dev.
217.473
237.100
318.864
35.159
31.871
139.747
Minimum
7.596
6.305
109.191
10.536
9.701
143.726
Mean
10.175
8.998
118.319
11.954
11.874
151.972
Std. Dev.
0.949
0.665
4.176
0.593
0.777
2.242
Minimum
8.270
7.543
104.974
10.350
9.736
142.649
Mean
10.181
9.086
118.443
12.179
11.957
152.154
Std. Dev.
0.792
0.576
3.774
0.635
0.684
2.076
Minimum
12.845
11.466
37978.059
230.363
233.034
35713.922
Mean
18.035
14.753
39957.690
288.583
282.761
37448.482
Std. Dev.
2.381
1.197
1189.191
20.812
20.009
641.561