17 Introduction to Evidence-Based Robust Optimisation
567
Table 17.1
ENM decomposition results
Topology
n
f e
n
samp,i
n
samp,tot
n
opt
n
opt /n
f e
CPU f (s)
CPU fmincon (s)
CPU Alg. (s)
Belief error
(a)
2 6
= 64
1
1
12
0.1875
0.008
0.341
0.4265
0.46635
2
2
20
0.3125
0.01
0.312
0.4685
0.40311
3
3
28
0.4375
0.018
0.377
0.5570
0.20439
4
4
36
0.5625
0.019
0.448
0.6415
2e−7
(b)
2 10
= 1024
1
1
20
0.0195
0.014
0.387
0.662
1.524
2
4
56
0.0546
0.031
0.692
0.930
4.344
3
9
116
0.1133
0.053
1.137
1.435
0.1618
4
16
200
0.1953
0.089
1.896
2.288
0.0001
(c)
2 12
= 4096
1
1
24
0.0059
0.017
0.428
0.732
1.8705
2
8
108
0.0264
0.0525
1.061
1.353
0.59611
3
27
336
0.0820
0.151
2.95
3.492
0.14550
4
64
780
0.1904
0.346
6.62
7.650
0.00004
(d)
2 22
=4,194,304
1
1
44
1.049e−05
0.0495
0.694
1.17
2.6101
2
32
788
1.878e−04
0.611
7.202
10.717
0.5776
3
243
5852
1.395e−03
4.32
48.50
73.38
0.1870
4
1024
24,596
5.864e−03
17.88
200.28
299.21
0.0002