Acta Aeronautica et Astronautica Sinica ›› 2025, Vol. 46 ›› Issue (8): 331074.doi: 10.7527/S1000-6893.2024.31074
• Electronics and Electrical Engineering and Control • Previous Articles
Weiwei CAI1, Guohua WU2, Hengwei LI3, Qian YIN3(
)
Received:2024-08-19
Revised:2024-10-14
Accepted:2024-11-22
Online:2024-12-03
Published:2024-11-26
Contact:
Qian YIN
E-mail:224201024@csu.edu.cn
Supported by:CLC Number:
Weiwei CAI, Guohua WU, Hengwei LI, Qian YIN. Multi-objective scheduling optimization method for relay satellites considering user preferences[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(8): 331074.
Table 2
Visible time windows of Relay Satellite 1 and User Spacecraft 1
| 可见时间窗口编号 | 可见时间窗口开始时刻 | 可见时间窗口结束时刻 |
|---|---|---|
| 1 | 00:03:40 | 02:30:38 |
| 2 | 02:55:20 | 03:59:33 |
| 3 | 04:35:19 | 05:34:58 |
| 4 | 06:13:51 | 07:12:17 |
| 5 | 07:51:37 | 08:50:31 |
| 6 | 09:28:06 | 10:29:46 |
| 7 | 11:01:02 | 14:49:43 |
| 8 | 15:18:25 | 16:21:20 |
| 9 | 16:57:59 | 17:57:27 |
| 10 | 18:36:24 | 19:35:02 |
| 11 | 20:14:00 | 21:13:26 |
| 12 | 21:50:07 | 22:52:57 |
| 13 | 23:21:39 | 00:00:00 |
Table 3
Test results of algorithm IGD with different parameters
| 实验编号 | VMEF | NSGA-Ⅲ | BiGE | GrEA | NSGA-Ⅱ | MOEA/D | AMODSA | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Avg. | Std. | Avg. | Std. | Avg. | Std. | Avg. | Std. | Avg. | Std. | Avg. | Std. | Avg. | Std. | |
| C1 | 7.731 | 0.443 | 8.253 | 0.321 | 8.131 | 0.213 | 7.552 | 0.353 | 8.524 | 0.214 | 7.846 | 0.242 | 7.635 | 0.622 |
| C2 | 6.841 | 0.249 | 7.323 | 0.151 | 7.021 | 0.412 | 6.973 | 0.238 | 7.534 | 0.134 | 7.364 | 0.451 | 7.145 | 0.411 |
| C3 | 6.123 | 0.235 | 6.579 | 0.372 | 6.648 | 0.317 | 6.246 | 0.376 | 6.887 | 0.155 | 6.645 | 0.164 | 6.478 | 0.318 |
| C4 | 5.925 | 0.578 | 6.256 | 0.124 | 6.354 | 0.578 | 6.042 | 0.499 | 6.543 | 0.187 | 6.457 | 0.134 | 6.364 | 0.315 |
| C5 | 5.615 | 0.112 | 6.033 | 0.284 | 5.781 | 0.112 | 5.471 | 0.175 | 6.245 | 0.356 | 6.058 | 0.455 | 5.974 | 0.607 |
| C6 | 5.525 | 0.215 | 5.432 | 0.343 | 5.742 | 0.412 | 5.651 | 0.287 | 5.945 | 0.384 | 5.864 | 0.446 | 5.658 | 0.512 |
| C7 | 5.379 | 0.321 | 5.675 | 0.125 | 5.887 | 0.321 | 5.731 | 0.377 | 5.868 | 0.178 | 5.855 | 0.394 | 5.736 | 0.511 |
| C8 | 5.126 | 0.453 | 5.412 | 0.421 | 5.532 | 0.453 | 5.178 | 0.283 | 5.664 | 0.124 | 5.554 | 0.484 | 5.446 | 0.214 |
| C9 | 6.731 | 0.561 | 7.124 | 0.114 | 7.012 | 0.561 | 6.822 | 0.469 | 7.578 | 0.154 | 7.288 | 0.586 | 7.946 | 0.309 |
| C10 | 6.615 | 0.154 | 6.978 | 0.357 | 7.134 | 0.444 | 6.531 | 0.154 | 7.212 | 0.385 | 7.762 | 0.564 | 6.656 | 0.507 |
| C11 | 6.796 | 0.325 | 6.825 | 0.312 | 6.978 | 0.233 | 6.913 | 0.275 | 6.956 | 0.357 | 6.991 | 0.414 | 6.764 | 0.806 |
| C12 | 6.772 | 0.543 | 7.022 | 0.244 | 7.123 | 0.287 | 6.797 | 0.503 | 6.957 | 0.376 | 7.187 | 0.446 | 6.856 | 0.608 |
| C13 | 6.314 | 0.313 | 6.877 | 0.287 | 6.723 | 0.312 | 6.593 | 0.207 | 6.845 | 0.187 | 6.757 | 0.157 | 6.613 | 0.409 |
| C14 | 6.494 | 0.535 | 6.864 | 0.354 | 6.671 | 0.413 | 6.735 | 0.109 | 6.915 | 0.354 | 6.856 | 0.384 | 6.767 | 0.206 |
| C15 | 6.431 | 0.193 | 6.512 | 0.432 | 6.652 | 0.347 | 6.781 | 0.178 | 7.681 | 0.366 | 7.167 | 0.645 | 6.813 | 0.545 |
| C16 | 5.312 | 0.116 | 6.024 | 0.478 | 6.086 | 0.417 | 5.531 | 0.265 | 5.970 | 0.378 | 5.968 | 0.744 | 5.834 | 0.406 |
| C17 | 5.021 | 0.254 | 5.687 | 0.153 | 5.751 | 0.375 | 5.357 | 0.283 | 5.887 | 0.386 | 5.757 | 0.243 | 5.677 | 0.205 |
| C18 | 4.512 | 0.135 | 5.013 | 0.147 | 4.983 | 0.127 | 4.631 | 0.146 | 4.965 | 0.345 | 5.689 5 | 0.642 | 4.886 | 0.303 |
| C19 | 4.177 | 0.178 | 5.132 | 0.354 | 4.856 | 0.542 | 4.282 | 0.478 | 4.548 | 0.354 | 4.977 | 0.541 | 4.734 | 0.584 |
| C20 | 4.021 | 0.551 | 4.654 | 0.378 | 4.441 | 0.278 | 4.633 | 0.255 | 4.478 | 0.367 | 4.884 | 0.420 | 4.568 | 0.565 |
Table 4
Algorithm HV test results with different parameters
| 实验编号 | VMEF | NSGA-Ⅲ | BiGE | GrEA | NSGA-Ⅱ | MOEA/D | AMODSA | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Avg. | Std. | Avg. | Std. | Avg. | Std. | Avg. | Std. | Avg. | Std. | Avg. | Std. | Avg. | Std. | |
| C1 | 0.730 | 0.059 | 0.588 | 0.072 | 0.640 | 0.061 | 0.732 | 0.050 | 0.504 | 0.059 | 0.712 | 0.051 | 0.754 | 0.072 |
| C2 | 0.780 | 0.044 | 0.650 | 0.058 | 0.662 | 0.047 | 0.729 | 0.031 | 0.550 | 0.044 | 0.727 | 0.045 | 0.710 | 0.058 |
| C3 | 0.688 | 0.037 | 0.565 | 0.046 | 0.498 | 0.057 | 0.647 | 0.038 | 0.486 | 0.037 | 0.622 | 0.038 | 0.667 | 0.046 |
| C4 | 0.695 | 0.019 | 0.512 | 0.065 | 0.536 | 0.041 | 0.667 | 0.040 | 0.459 | 0.019 | 0.637 | 0.046 | 0.586 | 0.065 |
| C5 | 0.772 | 0.054 | 0.574 | 0.077 | 0.484 | 0.073 | 0.655 | 0.041 | 0.454 | 0.054 | 0.612 | 0.041 | 0.594 | 0.077 |
| C6 | 0.740 | 0.058 | 0.607 | 0.076 | 0.617 | 0.079 | 0.677 | 0.038 | 0.435 | 0.058 | 0.658 | 0.038 | 0.598 | 0.076 |
| C7 | 0.808 | 0.060 | 0.507 | 0.107 | 0.628 | 0.068 | 0.763 | 0.061 | 0.394 | 0.067 | 0.651 | 0.061 | 0.582 | 0.107 |
| C8 | 0.702 | 0.053 | 0.445 | 0.072 | 0.499 | 0.083 | 0.735 | 0.046 | 0.383 | 0.053 | 0.643 | 0.046 | 0.571 | 0.072 |
| C9 | 0.755 | 0.044 | 0.359 | 0.049 | 0.559 | 0.103 | 0.729 | 0.058 | 0.372 | 0.044 | 0.638 | 0.058 | 0.558 | 0.049 |
| C10 | 0.657 | 0.051 | 0.448 | 0.120 | 0.482 | 0.101 | 0.618 | 0.052 | 0.358 | 0.051 | 0.623 | 0.052 | 0.536 | 0.123 |
| C11 | 0.665 | 0.072 | 0.315 | 0.043 | 0.431 | 0.127 | 0.591 | 0.091 | 0.336 | 0.072 | 0.608 | 0.091 | 0.522 | 0.043 |
| C12 | 0.616 | 0.114 | 0.335 | 0.059 | 0.288 | 0.064 | 0.531 | 0.148 | 0.345 | 0.114 | 0.596 | 0.148 | 0.511 | 0.059 |
| C13 | 0.780 | 0.066 | 0.319 | 0.078 | 0.449 | 0.143 | 0.651 | 0.152 | 0.292 | 0.066 | 0.584 | 0.152 | 0.525 | 0.078 |
| C14 | 0.704 | 0.060 | 0.317 | 0.055 | 0.518 | 0.12 | 0.660 | 0.044 | 0.284 | 0.060 | 0.548 | 0.044 | 0.492 | 0.055 |
| C15 | 0.693 | 0.116 | 0.394 | 0.034 | 0.479 | 0.115 | 0.612 | 0.101 | 0.276 | 0.116 | 0.556 | 0.101 | 0.464 | 0.115 |
| C16 | 0.787 | 0.076 | 0.536 | 0.071 | 0.608 | 0.063 | 0.793 | 0.045 | 0.268 | 0.076 | 0.562 | 0.045 | 0.476 | 0.078 |
| C17 | 0.793 | 0.100 | 0.444 | 0.073 | 0.582 | 0.117 | 0.725 | 0.073 | 0.255 | 0.125 | 0.515 | 0.073 | 0.464 | 0.073 |
| C18 | 0.720 | 0.102 | 0.357 | 0.043 | 0.485 | 0.098 | 0.633 | 0.074 | 0.241 | 0.102 | 0.532 | 0.074 | 0.433 | 0.074 |
| C19 | 0.648 | 0.133 | 0.362 | 0.126 | 0.369 | 0.088 | 0.543 | 0.090 | 0.230 | 0.133 | 0.514 | 0.095 | 0.428 | 0.078 |
| C20 | 0.729 | 0.102 | 0.380 | 0.067 | 0.477 | 0.136 | 0.666 | 0.094 | 0.228 | 0.102 | 0.505 | 0.094 | 0.433 | 0.066 |
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