Operations Research Transactions ›› 2021, Vol. 25 ›› Issue (2): 15-34.doi: 10.15960/j.cnki.issn.1007-6093.2021.02.002
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Yuyang ZHOU1, Huizhen ZHANG1,*(), Liang MA1
Received:
2020-04-24
Online:
2021-06-15
Published:
2021-05-06
Contact:
Huizhen ZHANG
E-mail:zhzzywz@163.com
CLC Number:
Yuyang ZHOU, Huizhen ZHANG, Liang MA. An improved immune algorithm for solving hierarchical and progressive location problem of emergency medical facilities[J]. Operations Research Transactions, 2021, 25(2): 15-34.
"
序号 | 经纬度坐标 | 人口数量 | 序号 | 经纬度坐标 | 人口数量 |
1 | 113.907 66, 30.929 63 | 79 932 | 59 | 113.572 33, 30.941 56 | 134 010 |
2 | 113.925 79, 30.915 38 | 329 000 | 60 | 113.585 79, 30.967 80 | 53 096 |
3 | 114.024 62, 31.009 43 | 27 395 | 61 | 113.616 05, 30.946 33 | 24 438 |
4 | 113.860 91, 31.042 15 | 39 443 | 62 | 113.712 77, 30.920 19 | 40 684 |
5 | 113.982 37, 30.869 55 | 38 586 | 63 | 113.741 20, 30.861 15 | 23 504 |
6 | 114.142 45, 30.900 70 | 33 700 | 64 | 113.462 98, 31.034 75 | 17 390 |
7 | 113.928 85, 30.966 84 | 44 708 | 65 | 113.593 19, 31.098 20 | 40 871 |
8 | 113.950 51, 30.789 30 | 23 963 | 66 | 113.690 21, 30.989 25 | 26 475 |
9 | 113.937 27, 30.953 38 | 40 221 | 67 | 113.689 46, 30.909 55 | 48 732 |
10 | 113.933 73, 30.924 49 | 157 648 | 68 | 113.591 00, 30.905 65 | 38 314 |
11 | 114.110 41, 31.031 76 | 63 794 | 69 | 113.591 00, 30.777 92 | 40 700 |
12 | 113.947 42, 31.077 98 | 82 949 | 70 | 113.512 82, 30.764 59 | 26 773 |
13 | 114.067 54, 30.948 93 | 44 079 | 71 | 113.480 99, 30.860 99 | 42 523 |
14 | 113.992 51, 30.984 70 | 32 780 | 72 | 113.411 82, 30.906 40 | 26 525 |
15 | 113.911 62, 30.902 92 | 53 290 | 73 | 113.363 29, 30.911 80 | 13 522 |
16 | 114.031 38, 30.800 80 | 10 200 | 74 | 113.704 78, 31.288 00 | 132 486 |
17 | 113.966 78, 31.258 75 | 128 455 | 75 | 113.706 61, 31.212 50 | 21 735 |
18 | 113.988 51, 31.322 15 | 32 868 | 76 | 113.860 09, 31.419 48 | 29 411 |
19 | 113.986 94, 31.397 30 | 32 868 | 77 | 113.763 55, 31.221 22 | 22 166 |
20 | 114.069 13, 31.348 01 | 42 038 | 78 | 113.645 37, 31.165 85 | 40 338 |
21 | 113.898 69, 31.142 27 | 51 237 | 79 | 113.597 90, 31.244 39 | 25 578 |
22 | 114.125 04, 31.298 96 | 17 154 | 80 | 113.525 58, 31.297 63 | 30 400 |
23 | 114.125 10, 31.166 58 | 60 969 | 81 | 113.396 69, 31.332 22 | 25 927 |
24 | 114.171 40, 31.117 82 | 27 819 | 82 | 113.584 93, 31.334 01 | 36 269 |
25 | 114.042 38, 31.087 44 | 59 263 | 83 | 113.533 32, 31.394 37 | 24 765 |
26 | 113.867 19, 31.197 77 | 43 071 | 84 | 113.707 04, 31.338 02 | 29 112 |
27 | 113.917 18, 31.301 76 | 34 162 | 85 | 113.829 49, 31.272 97 | 28 808 |
28 | 114.019 13, 31.208 02 | 48 224 | 86 | 113.642 26, 31.121 68 | 28 791 |
29 | 114.002 88, 31.263 82 | 10 249 | 87 | 113.561 56, 31.234 26 | 19 661 |
30 | 114.127 70, 31.566 40 | 88 732 | 88 | 113.764 19, 31.421 57 | 22 057 |
31 | 114.122 06, 31.499 46 | 21 341 | 89 | 113.726 89, 31.265 17 | 51 086 |
32 | 114.117 48, 31.399 18 | 25 507 | 90 | 113.838 99, 30.641 82 | 165 230 |
33 | 114.282 99, 31.494 58 | 43 307 | 91 | 113.834 90, 30.559 47 | 83 313 |
34 | 114.311 71, 31.420 15 | 31 340 | 92 | 113.609 05, 30.506 33 | 27 745 |
35 | 114.386 55, 31.372 68 | 31 648 | 93 | 113.776 79, 30.625 37 | 55 994 |
36 | 114.446 26, 31.321 08 | 55 000 | 94 | 113.665 07, 30.582 85 | 57 285 |
37 | 114.416 17, 31.423 09 | 26 775 | 95 | 113.542 36, 30.500 34 | 63 494 |
38 | 114.490 84, 31.508 06 | 27 779 | 96 | 113.459 92, 30.534 86 | 34 310 |
39 | 114.509 58, 31.579 50 | 15 899 | 97 | 113.515 04, 30.518 96 | 31 343 |
40 | 114.502 18, 31.690 85 | 70 362 | 98 | 113.527 53, 30.712 38 | 29 810 |
41 | 114.394 44, 31.629 33 | 30 092 | 99 | 113.444 41, 30.782 54 | 11 918 |
42 | 114.162 05, 31.723 93 | 33 074 | 100 | 113.702 90, 30.783 25 | 25 204 |
43 | 114.218 41, 31.801 34 | 25 694 | 101 | 113.825 36, 30.754 66 | 45 181 |
44 | 114.241 49, 31.593 31 | 40 826 | 102 | 113.924 44, 30.673 03 | 131 298 |
45 | 114.373 52, 31.535 00 | 33 208 | 103 | 113.799 62, 30.597 01 | 33 263 |
46 | 114.217 75, 31.704 56 | 28 817 | 104 | 113.659 61, 30.530 59 | 27 140 |
47 | 113.756 82, 31.039 44 | 132 892 | 105 | 113.683 97, 30.486 33 | 44 678 |
48 | 113.784 77, 31.131 69 | 34 077 | 106 | 113.707 86, 30.595 15 | 22 807 |
49 | 113.820 31, 30.985 72 | 33 772 | 107 | 113.782 60, 30.503 78 | 41 557 |
50 | 113.766 77, 30.827 62 | 24 030 | 108 | 113.880 06, 30.612 39 | 27 614 |
51 | 113.666 70, 31.075 06 | 28 726 | 109 | 113.575 95, 30.585 55 | 24 590 |
52 | 113.838 76, 30.936 23 | 32 886 | 110 | 113.608 43, 30.677 56 | 30 619 |
53 | 113.717 34, 31.099 15 | 44 549 | 111 | 113.510 55, 30.637 25 | 21 483 |
54 | 113.809 98, 31.041 64 | 32 475 | 112 | 113.714 37, 30.621 57 | 11 368 |
55 | 113.846 11, 30.836 90 | 51 422 | 113 | 113.626 69, 30.621 93 | 4 777 |
56 | 113.739 83, 30.945 08 | 61 227 | 114 | 113.736 43, 30.668 19 | 9 809 |
57 | 113.739 08, 31.190 70 | 24 647 | 115 | 113.925 78, 30.685 75 | 100 137 |
58 | 113.705 15, 31.037 25 | 26 876 |
"
序号 | 经纬度坐标 | 容量/万人 | 吸引力因子 |
1 | 113.938 27, 30.946 93 | 1.931 6 | 1 |
2 | 113.843 45, 30.664 18 | 0.064 3 | 1.3 |
3 | 113.592 49, 30.948 18 | 1.860 0 | 1.2 |
4 | 114.017 00, 31.285 44 | 0.064 3 | 1 |
5 | 113.915 78, 30.941 41 | 0.512 0 | 1.2 |
6 | 113.707 13, 31.252 71 | 3.426 9 | 1.1 |
7 | 114.140 94, 31.571 07 | 10.789 2 | 1.1 |
8 | 113.932 17, 30.913 36 | 11.437 8 | 1.1 |
9 | 113.954 47, 30.908 31 | 4.043 2 | 1 |
10 | 114.070 08, 31.357 24 | 1.297 3 | 1 |
11 | 113.778 25, 31.020 14 | 2.745 9 | 1 |
12 | 113.847 58, 30.570 91 | 0.302 7 | 1.1 |
13 | 113.841 91, 30.839 23 | 1.186 2 | 1 |
14 | 113.819 30, 30.651 50 | 1.016 2 | 1.3 |
15 | 113.535 99, 30.496 71 | 0.749 2 | 1 |
16 | 113.747 94, 31.040 91 | 3.017 0 | 1.1 |
17 | 114.046 63, 31.089 46 | 0.345 9 | 1 |
18 | 113.719 47, 31.097 06 | 0.605 4 | 1 |
19 | 113.958 31, 31.027 13 | 2.162 2 | 1 |
20 | 114.001 57, 31.252 27 | 4.043 2 | 1.2 |
21 | 113.697 42, 31.274 61 | 0.447 3 | 1.2 |
22 | 113.569 59, 30.942 64 | 1.729 7 | 1.3 |
23 | 113.786 06, 31.128 03 | 1.382 3 | 1 |
"
参数组合 | 参数 | AVG | |||
overbest | ps | pcross | length | ||
1 | 6 | 0.80 | 0.5 | 6 | 282 673 |
2 | 6 | 0.85 | 0.6 | 8 | 282 636 |
3 | 6 | 0.90 | 0.7 | 10 | 281 989 |
4 | 6 | 0.95 | 0.8 | 12 | 282 478 |
5 | 8 | 0.80 | 0.6 | 10 | 282 541 |
6 | 8 | 0.85 | 0.5 | 12 | 282 037 |
7 | 8 | 0.90 | 0.8 | 6 | 282 894 |
8 | 8 | 0.95 | 0.7 | 8 | 282 272 |
9 | 10 | 0.80 | 0.7 | 12 | 282 532 |
10 | 10 | 0.85 | 0.8 | 10 | 282 197 |
11 | 10 | 0.90 | 0.5 | 8 | 282 528 |
12 | 10 | 0.95 | 0.6 | 6 | 282 451 |
13 | 12 | 0.80 | 0.8 | 8 | 282 273 |
14 | 12 | 0.85 | 0.7 | 6 | 282 816 |
15 | 12 | 0.90 | 0.6 | 12 | 282 205 |
16 | 12 | 0.95 | 0.5 | 10 | 282 534 |
"
需求点 | 设施点 | 后方医院 |
57, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 85, 87, 88, 89 | 6 | 3 |
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46 | 7 | 6 |
1, 2, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 50, 52, 55 | 8 | 1 |
90, 91, 93, 100, 101, 102, 103, 106, 107, 108, 112, 114, 115 | 12 | 4 |
69, 70, 92, 94, 95, 96, 97, 98, 99, 104, 105, 109, 110, 111, 113 | 15 | 2 |
4, 47, 48, 49, 51, 53, 54, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 71, 72, 73, 86 | 16 | 7 |
3, 11, 12, 23, 24, 25 | 17 | 5 |
17, 18, 19, 20, 21, 22, 26, 27, 28, 29, 76 | 20 | 5 |
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