Table 7.
Summary of Results of Nonlinear Model Analysis
| Optimization Method
|
|||||
|---|---|---|---|---|---|
| Approach
|
Case
|
State Variables
|
Stochastic
|
Gradient-Based
|
|
| No weighting | 1 | M1 | 3.7195 × 106 | 3.7342 × 106 | |
| 2 | M2 | 9.0224 × 10−5 | 7.8716 × 10−5 | ||
| 3 | E | 3.6658 × 10−4 | 8.015 × 10−7 | ||
| 4 | M1, M2 | 3.7198 × 106 | 3.7342 × 106 | ||
| W, unity matrix | 5 | M1, E | 3.7198 × 106 | 3.7342 × 106 | |
| 6 | M2, E | 3.6658 × 10−4 | 7.9476 × 10−5 | ||
| 7 | M1, M2, E | 3.7195 × 106 | 3.7367 × 106 | ||
| Weighted by square of average | 8 | M1 | 2.8287 | 2.8378 | |
| 9 | M2 | 0.0222 | 0.1201 | ||
| 10 | E | 0.0476 | 0.0493 | ||
| W as in equation 24 | 11 | M1, M2 | 2.8394 | 2.8428 | |
| 12 | M1, E | 2.8685 | 2.8806 | ||
| 13 | M2, E | 0.0686 | 0.0692 | ||
| 14 | M1, M2, E | 2.8739 | 2.8857 | ||
| Simplified Chen and Asprey | 15 | M1 | 1.356 | 3.6054 | |
| 16 | M2 | 36.3359 | 2.1768 | ||
| 17 | E | 2.6896 | 0.099 | ||
| 18 | M1, M2 | 36.4986 | 7.6538 | ||
| W as in equation 26 | 19 | M1, E | 2.6897 | 2.5091 | |
| 20 | M2, E | 36.9019 | 2.4782 | ||
| 21 | M1, M2, E | 37.0645 | 7.763 | ||
| Simplified Chen and Asprey without measurement variance | 22 | M1 | 24.88 | 22.9863 | |
| 23 | M2 | 1.5598 × 1011 | 1.4355 × 1011 | ||
| 24 | E | 3.6623 | 2.6398 | ||
| 25 | M1, M2 | 1.5598 × 1011 | 1.4355 × 1011 | ||
| W as in equation 29 | 26 | M1, E | 24.88 | 3.6468 | |
| 27 | M2, E | 1.5598 × 1011 | 3.6207 | ||
|
|
28
|
M1, M2, E
|
1.5598 × 1011
|
1.4355 × 1011
|
|
