Research Article
Dynamic Analysis and Optimization of a Production Control System under Supply and Demand Uncertainties
Table 1
Optimal parameters and objective function values for fixed
and
.
| | | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
| | 1 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 4 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 5 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 6 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 7 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 9 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 10 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 11 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 12 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 3 | 2 | 2 | 2 | 3 | | 13 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 3 | 4 | 2 | 3 | 3 | 4 | | 14 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 3 | 4 | 2 | 3 | 3 | 4 | | 15 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 3 | 4 | 2 | 3 | 3 | 4 |
| | 1 | | 3 | 3 | 4 | 2 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | | 2 | 4 | 4 | 7 | 1 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | | 3 | 4 | 7 | 10 | 1 | 1 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | | 4 | 5 | 8 | 13 | 1 | 1 | 1 | 2 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | | 5 | 6 | 10 | 17 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 3 | 3 | 3 | 3 | | 6 | 6 | 10 | 21 | 11 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 3 | 2 | | 7 | 7 | 14 | 28 | 17 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | | 8 | 8 | 15 | 36 | 18 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | | 9 | 8 | 25 | 38 | 24 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | | 10 | 8 | 28 | 48 | 33 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | | 11 | 10 | 29 | 49 | 33 | 25 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | | 12 | 11 | 33 | 65 | 43 | 26 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | | 13 | 13 | 39 | 72 | 45 | 32 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | | 14 | 13 | 41 | 77 | 59 | 36 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | | 15 | 13 | 43 | 81 | 61 | 47 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 |
| | 1 | | 7 | 7 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | | 2 | 12 | 7 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | | 3 | 12 | 4 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | | 4 | 15 | 4 | 2 | 3 | 4 | 3 | 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | | 5 | 17 | 4 | 2 | 3 | 6 | 4 | 3 | 6 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | | 6 | 19 | 4 | 2 | 2 | 9 | 6 | 4 | 4 | 7 | 5 | 5 | 5 | 5 | 5 | 5 | | 7 | 20 | 4 | 2 | 2 | 8 | 19 | 5 | 4 | 5 | 8 | 7 | 6 | 6 | 6 | 9 | | 8 | 22 | 4 | 2 | 2 | 10 | 256 | 9 | 9 | 5 | 15 | 9 | 9 | 8 | 9 | 8 | | 9 | 24 | 3 | 2 | 2 | 11 | 256 | 20 | 9 | 9 | 9 | 17 | 17 | 11 | 12 | 17 | | 10 | 24 | 3 | 2 | 2 | 12 | 256 | 256 | 16 | 13 | 14 | 65 | 33 | 26 | 24 | 33 | | 11 | 20 | 3 | 2 | 2 | 2 | 256 | 256 | 90 | 28 | 35 | 256 | 256 | 129 | 129 | 256 | | 12 | 22 | 3 | 2 | 2 | 2 | 256 | 256 | 256 | 161 | 134 | 256 | 256 | 256 | 256 | 256 | | 13 | 33 | 3 | 2 | 2 | 2 | 256 | 256 | 256 | 256 | 256 | 256 | 256 | 256 | 256 | 256 | | 14 | 34 | 3 | 2 | 2 | 2 | 256 | 256 | 256 | 256 | 256 | 256 | 256 | 256 | 256 | 256 | | 15 | 37 | 3 | 2 | 2 | 2 | 256 | 256 | 256 | 256 | 256 | 256 | 256 | 256 | 256 | 256 |
| | 1 | | 5.97 | 6.07 | 5.44 | 5.16 | 4.99 | 4.98 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | | 2 | 6.99 | 7.07 | 6.34 | 5.27 | 5.17 | 4.98 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | | 3 | 7.97 | 8.04 | 7.23 | 6.02 | 5.2 | 5.12 | 4.98 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | | 4 | 8.96 | 8.97 | 8.12 | 6.97 | 5.39 | 5.2 | 5.08 | 4.98 | 4.98 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | 4.96 | | 5 | 9.95 | 9.91 | 9.02 | 7.98 | 6.14 | 5.24 | 5.2 | 5.09 | 5 | 5 | 5 | 5 | 4.99 | 4.99 | 4.99 | | 6 | 10.94 | 10.85 | 9.92 | 9.17 | 7.03 | 5.36 | 5.24 | 5.24 | 5.13 | 5.07 | 5.05 | 5.05 | 5.05 | 5.11 | 5.05 | | 7 | 11.95 | 11.79 | 10.84 | 10.08 | 8.01 | 5.67 | 5.32 | 5.33 | 5.29 | 5.18 | 5.13 | 5.1 | 5.09 | 5.09 | 5.22 | | 8 | 12.93 | 12.75 | 11.76 | 11 | 9.09 | 6.56 | 5.45 | 5.45 | 5.44 | 5.37 | 5.25 | 5.22 | 5.19 | 5.22 | 5.23 | | 9 | 13.93 | 13.69 | 12.7 | 11.92 | 10.27 | 7.59 | 5.65 | 5.45 | 5.45 | 5.45 | 5.41 | 5.41 | 5.38 | 5.32 | 5.41 | | 10 | 14.95 | 14.65 | 13.64 | 12.86 | 11.55 | 8.72 | 6.21 | 5.61 | 5.55 | 5.57 | 5.65 | 5.56 | 5.52 | 5.5 | 5.56 | | 11 | 15.93 | 15.61 | 14.59 | 13.8 | 13.3 | 9.94 | 7.33 | 5.82 | 5.71 | 5.74 | 5.91 | 5.8 | 5.71 | 5.71 | 5.8 | | 12 | 16.92 | 16.58 | 15.54 | 14.75 | 14.25 | 11.24 | 8.54 | 6.82 | 6.05 | 6.05 | 6.36 | 6.58 | 6.23 | 6.18 | 6.31 | | 13 | 17.92 | 17.55 | 16.5 | 15.7 | 15.2 | 12.61 | 9.85 | 8.07 | 7.06 | 6.94 | 7.57 | 7.55 | 7.17 | 7.01 | 7.09 | | 14 | 18.9 | 18.53 | 17.47 | 16.66 | 16.16 | 14.04 | 11.23 | 9.38 | 8.36 | 8.25 | 8.92 | 8.57 | 8.18 | 8.03 | 8.13 | | 15 | 19.9 | 19.5 | 18.44 | 17.62 | 17.12 | 15.54 | 12.67 | 10.79 | 9.72 | 9.62 | 10.33 | 9.62 | 9.23 | 9.09 | 9.19 |
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