dataset Min Radius projectlong projectlat projectvalue bestlong bestlat bestvalue Case Dist (rad) gc_long gc_lat comments prolong® prolat® bestlong® bestlat® distance® 3d-x 3d-y 3d-z
12 25 45.0061 79.9969 1.3017 46 80 1.3045 a1 0.003 42.813 79.438 0.785504 1.3962081 0.8028508 1.3962622 0.0030132 0.1228001 0.1228264 0.984704
17 17.907 65.0337 290.1000 2.4952 88 284 2.18163 a1 0.157 did not converge 1.1350512 5.0631959 1.5358884 4.9567309 0.1566971 0.2717996 -0.7427273 0.3682361
20 2.1569 3.93866 0.8513 0.2982 4 2 0.312746 a1 0.020 0.0687425 0.0148573 0.0698131 0.0349066 0.0200778 0.0686774 0.0010204 0.9975884
21 2.30235 2.97918 1.9041 0.2901 4 2 0.316535 a1 0.018 0.0519965 0.0332319 0.0698131 0.0349066 0.0178849 0.9976236 0.0519197 0.0332101
22 2.91259 1.63233 1.2065 0.2810 2 2 0.303821 a1 0.015 0.0284895 0.0210579 0.0349066 0.0349066 0.0152621 0.9990106 0.0284691 0.0210486
23 2.25865 2.10819 2.1674 0.2277 2 2 0.229131 a1 0.003 0.0367948 0.0378277 0.0349066 0.0349066 0.0034776 0.998466 0.0367551 0.0378133
24 2.76015 1.43072 3.7713 0.2289 2 4 0.244989 a1 0.011 0.0249708 0.0658212 0.0349066 0.0698131 0.0106865 0.9973447 0.0249097 0.0657618
28 9.73068 5.65458 6.4040 0.7884 6 6 0.791298 a1 0.009 0.098691 0.1117715 0.1047197 0.1047197 0.0092547 0.9865747 0.0976834 0.111274
29 7.5634 6.00063 5.8400 0.7932 6 6 0.793465 a1 0.003 0.1047307 0.1019268 0.1047197 0.1047197 0.0027929 0.9863842 0.1036841 0.1014445
30 8.52969 5.33504 6.9322 0.8969 6 8 0.909093 a1 0.022 0.0931139 0.1209903 0.1047197 0.1396262 0.0219023 0.986504 0.0921237 0.1204651
31 7.06124 8.53499 3.1568 0.7694 8 4 0.777363 a1 0.017 0.1489636 0.0550969 0.1396262 0.0698131 0.0174187 0.9845808 0.1477613 0.054911
32 6.94146 5.81975 5.7193 0.6540 6 6 0.655348 a1 0.006 0.1015737 0.0998211 0.1047197 0.1047197 0.0058129 0.987973 0.1006988 0.099462
36 33.7232 62.0715 61.2666 4.1465 64 62 4.14412 a1 0.020 1.0833511 1.069303 1.1170098 1.0821032 0.0204822 0.2092813 0.3947885 0.8150234
37 34.0665 27.2992 63.9879 4.1015 26 64 4.10159 a1 0.010 0.4764605 1.1167986 0.4537852 1.1170098 0.0099444 0.3619762 0.1868233 0.8347344
38 28.1815 41.4506 79.2978 2.2103 40 80 2.21298 a1 0.013 0.7234488 1.3840065 0.6981311 1.3962622 0.0130718 0.1370886 0.1210752 0.9677667
39 41.3194 54.5602 56.5807 4.5624 56 56 4.56209 a1 0.017 0.9522543 0.9875187 0.9773836 0.9773836 0.0172395 0.2849273 0.4003425 0.7446753
40 29.6974 44.3776 48.9488 3.9583 44 50 3.95795 a1 0.019 0.7745346 0.854317 0.7679442 0.8726639 0.01884 0.4299765 0.4207342 0.6907893
18 7.16243 35.3472 47.6691 11.5005 36 48 11.6675 a2 0.010 did not converge all weights multiplied by 1000 for result 0.6169245 0.831982 0.628318 0.8377573 0.0095837 0.5487945 0.3892471 0.7386212
19 21.9603 96.4471 140.4250 783267.0000 96 140 782135 a2 0.010 did not converge 1.683318 2.4508765 1.6755147 2.4434589 0.0095381 -0.7574177 0.6260318 -0.1110403
25 2.47241 2.33489 2.6661 0.8432 2 2 0.881031 a2 0.013 0.0407515 0.046532 0.0349066 0.0349066 0.0130099 0.9974884 0.0406718 0.0464873
26 2.52452 2.41076 2.5961 0.8188 2 2 0.950143 a2 0.013 0.0420757 0.045311 0.0349066 0.0349066 0.0126319 0.9979523 0.0420144 0.0452892
27 2.44666 1.53713 2.5576 0.7404 2 2 0.785976 a2 0.013 0.026828 0.0446387 0.0349066 0.0349066 0.0126441 0.9984357 0.0267925 0.0446145
33 7.23775 7.92693 7.1814 8.9494 8 8 9.00898 a2 0.014 0.1383509 0.1253383 0.1396262 0.1396262 0.0143438 0.9778656 0.1361585 0.1243986
34 7.53927 11.8647 6.5003 5.4982 12 6 5.52787 a2 0.009 0.2070779 0.1134522 0.2094393 0.1047197 0.0090426 0.9705933 0.2039123 0.1130052
35 6.67534 6.3905 4.2088 3.1016 6 4 3.22323 a2 0.008 0.1115352 0.0734575 0.1047197 0.0698131 0.0077133 0.9910665 0.1109995 0.0733886
41 40.4909 22.3497 34.9180 16.6775 22 34 16.6826 a2 0.017 0.3900755 0.6094336 0.3839721 0.5934114 0.0167938 0.6398516 0.2630709 0.4829445
42 36.911 77.8409 54.9548 9.7760 78 52 9.76728 a2 0.052 1.3585789 0.9591414 1.3613557 0.9075704 0.0515974 0.1120409 0.5200049 0.7584111
43 35.93 37.9609 59.9567 10.1943 38 60 10.1945 a2 0.001 0.6625421 1.0464409 0.6632246 1.0471967 0.0008293 0.3580286 0.2871312 0.8070884
1 71.57 -35.6759 43.7898 3.9634 -60 30 3.69305 b1 0.414 36.860 0.000 -0.6226614 0.7642755 -1.0471967 0.5235983 0.4135982 0.1805154 -0.1295981 0.2130247
2 60 100 0.0000 3.6652 56 0 3.66519 b1 0.768 90.276 0.000 for collinear points a demand point should be optimal 1.7453278 0 0.9773836 0 0.7679442 0.6046861 0 -0.1066225
7 61.1209 0 58.7155 2.6030 0 54 2.59095 b1 0.082 0.000 50.258 data sets 7 & 8 are the same except for a longitudinal rotation 0 1.0247779 0 0.942477 0.0823009 0.4385908 0 0.7217956
8 61.1209 -60 58.7155 2.6030 -60 54 2.59095 b1 0.082 -60.000 50.258 data sets 7 & 8 are the same except for a longitudinal rotation -1.0471967 1.0247779 -1.0471967 0.942477 0.0823009 0.2192954 -0.3798308 0.7217957
9 45.1866 75 75.2547 2.0869 74 80 2.08198 b1 0.083 29.851 42.293 1.3089958 1.3134412 1.2915426 1.3962622 0.0829024 0.0538522 0.2009792 0.790562
10 60 136 88.0000 4.2068 20 -30 3.99571 b1 2.109 39.880 -6.105 2.3736458 1.5358884 0.3490656 -0.5235983 2.109408 -1E-08 0.2051773 -0.0390546
11 65 79.9102 41.0438 2.6603 80 50 2.6038 b1 0.156 78.386 33.916 1.3946949 0.7163488 1.3962622 0.8726639 0.1563189 0.0999185 0.561587 0.4965547
14 62.966 74 80.0000 3.9305 100 52 3.76873 b1 0.511 69.120 27.156 data sets 13 & 14 are the same except for the weight of point 4 1.2915426 1.3962622 1.7453278 0.9075704 0.5112616 -0.095894 0.3737783 0.4847791
44 38.0537 50.886 41.4544 4.6495 50 40 4.63982 b1 0.028 0.8881275 0.7235152 0.8726639 0.6981311 0.0279581 0.4346982 0.5346282 0.6086428
45 37.8042 42.1903 66.0555 4.6716 42 66 4.67158 b1 0.002 0.736359 1.152885 0.7330377 1.1519163 0.0016611 0.2819547 0.2555742 0.8569562
46 39.9913 43.1585 41.7878 4.9780 44 40 4.96323 b1 0.033 0.7532573 0.7293341 0.7679442 0.6981311 0.0331187 0.480807 0.4508535 0.5890728
47 52.5519 45.7584 47.0778 5.3727 46 46 5.37234 b1 0.019 0.7986341 0.8216619 0.8028508 0.8028508 0.0190334 0.4074393 0.4183709 0.6279569
48 36.1481 46.9255 49.3444 4.0228 46 50 4.02835 b1 0.015 0.8190038 0.8612215 0.8028508 0.8726639 0.0154983 0.4209606 0.4502505 0.7177409
49 80.1839 77.6355 -58.1229 12.2546 78 -50 12.2317 b1-c1 0.142 problem probably covers greater than a hemisphere (non-convex) 1.3549939 -1.0144351 1.3613557 -0.8726639 0.1418198 0.0320758 0.1463209 -0.2408709
50 80.4882 45.1044 -13.8658 15.9549 -142 18 12.2701 b1-c1 3.002 problem probably covers greater than a hemisphere (non-convex) 0.7872196 -0.2420037 -2.4783654 0.314159 3.0022624 -0.142758 -0.143279 -0.049926
51 87.8514 -11.261 36.8610 15.7637 162 36 8.32009 b1-c1 1.865 problem probably covers greater than a hemisphere (non-convex) -0.1965414 0.6433453 2.827431 0.628318 1.8652526 -0.5580934 0.1111232 0.4266493
52 84.8489 -26.6114 60.1667 11.4644 -28 50 11.3641 b1-c1 0.178 problem probably covers greater than a hemisphere (non-convex) -0.4644562 1.0501061 -0.4886918 0.8726639 0.1779735 0.2428172 -0.1216542 0.4735799
53 83.7331 12.3943 -18.7306 15.6465 -162 -12 11.7585 b1-c1 2.597 problem probably covers greater than a hemisphere (non-convex) 0.2163212 -0.3269104 -2.827431 -0.2094393 2.5966353 -0.2884841 -0.0633974 -0.1001525
3 32.5449 20.1172 25.7597 5.4413 20 26 5.44059 b2 0.005 20.865 24.919 0.3511111 0.4495912 0.3490656 0.4537852 0.00458 0.8251197 0.3022317 0.4240329
4 62.966 57.9403 26.4510 4.9538 56 32 4.94268 b2 0.101 36.755 10.967 1.0112482 0.4616567 0.9773836 0.5585049 0.1012505 0.4097415 0.2038524 0.2866347
13 62.966 70 58.0000 4.8643 152 44 4.23776 b2 0.873 96.105 30.128 data sets 13 & 14 are the same except for the weight of point 4 1.2217294 1.0122901 2.6528982 0.7679442 0.8734898 -0.4799367 0.3008753 0.5908746
5 70 -26.2532 60.2384 6.6814 0 -90 5.23599 c1 2.622 40.000 0.000 problem covers greater than a hemisphere (non-convex) -0.4582044 1.0513575 0 -1.570795 2.6221527 -0.078284 -0.1369041 -0.3197506
16 87.3253 -80.9627 50.0749 21.0473 -114 26 20.5867 c2 0.610 16.053 9.568 problem covers greater than a hemisphere (non-convex) -1.4130645 0.8739711 -1.9896737 0.4537852 0.6098248 0.0079099 -0.0497314 0.0601721
6 85 59.4223 0.0000 18.0917 20 0 17.5231 d 0.688 10.000 0.000 for collinear points a demand point should be optimal 1.0371139 0 0.3490656 0 0.6880484 0.2577655 0 0.1523069
15 n/a n/a n/a n/a -180 -88 9.42478 d n/a 0.507 0.000 all points have the same objective function value n/a n/a n/a
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