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# 问题二：第二检测点选择对比
初始 ρ 为首次示向度候选集 K₁ 的最小包围半径；最坏后验按目标边界采样 × 读数区间端点统一评估。
| 算例 | 方法 | 初始 ρ(m) | 第二点 q | 保证接收 | q 到 K₁ 最远(m) | 最坏后验 ρ'(m) | 收缩(m) | 移动(s) |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| q2-4200 | optimal | 674.59 | (1257,89) | 是 | 907.09 | 54.45 | 620.13 | 181.42 |
| q2-4200 | baseline_perp | 674.59 | (194,462) | 否 | 1679.16 | 76.22 | 598.36 | 200.00 |
| q2-4200 | baseline_mec | 674.59 | (1173,-226) | 是 | 674.59 | 337.29 | 337.29 | 134.92 |
| q2-4200 | reference | 674.59 | (1173,100) | 是 | 850.11 | 57.70 | 616.89 | 170.02 |
| q2-4201 | optimal | 261.33 | (-1501,-348) | 是 | 461.91 | 13.55 | 247.78 | 92.38 |
| q2-4201 | baseline_perp | 261.33 | (-782,-715) | 否 | 1131.68 | 27.22 | 234.11 | 200.00 |
| q2-4201 | baseline_mec | 261.33 | (-1578,-63) | 是 | 261.33 | 130.67 | 130.67 | 52.27 |
| q2-4201 | reference | 261.33 | (-1393,-432) | 是 | 527.03 | 14.98 | 246.36 | 105.41 |
| q2-4202 | optimal | 591.09 | (-1126,-861) | 是 | 869.01 | 37.92 | 553.17 | 173.80 |
| q2-4202 | baseline_perp | 591.09 | (408,-1235) | 否 | 1561.73 | 64.57 | 526.52 | 200.00 |
| q2-4202 | baseline_mec | 591.09 | (-731,-967) | 是 | 591.09 | 295.54 | 295.54 | 118.22 |
| q2-4202 | reference | 591.09 | (-1038,-865) | 是 | 788.83 | 46.22 | 544.86 | 157.77 |
| q2-4203 | optimal | 326.92 | (1145,-1745) | 是 | 683.58 | 17.13 | 309.79 | 136.72 |
| q2-4203 | baseline_perp | 326.92 | (1837,-1523) | 否 | 1204.35 | 32.99 | 293.93 | 200.00 |
| q2-4203 | baseline_mec | 326.92 | (788,-1388) | 是 | 326.92 | 163.46 | 163.46 | 65.38 |
| q2-4203 | reference | 326.92 | (1125,-1725) | 是 | 657.98 | 16.90 | 310.02 | 131.60 |
| q2-4204 | optimal | 750.20 | (-401,208) | 是 | 876.74 | 91.60 | 658.60 | 175.35 |
| q2-4204 | baseline_perp | 750.20 | (-1541,302) | 否 | 1817.48 | 90.79 | 659.41 | 200.00 |
| q2-4204 | baseline_mec | 750.20 | (-336,-34) | 是 | 750.20 | 375.10 | 375.10 | 150.04 |
| q2-4204 | reference | 750.20 | (-336,216) | 是 | 923.80 | 92.25 | 657.95 | 184.76 |
| q2-4205 | optimal | 750.14 | (-503,21) | 是 | 881.59 | 91.10 | 659.04 | 176.32 |
| q2-4205 | baseline_perp | 750.14 | (-612,-1470) | 否 | 1817.36 | 90.78 | 659.36 | 200.00 |
| q2-4205 | baseline_mec | 750.14 | (-568,-220) | 是 | 750.14 | 375.08 | 375.06 | 150.03 |
| q2-4205 | reference | 750.14 | (-568,30) | 是 | 927.74 | 92.25 | 657.89 | 185.55 |
| q2-4206 | optimal | 750.12 | (216,677) | 是 | 892.00 | 90.96 | 659.16 | 178.40 |
| q2-4206 | baseline_perp | 750.12 | (1592,1266) | 否 | 1817.31 | 90.77 | 659.34 | 200.00 |
| q2-4206 | baseline_mec | 750.12 | (457,742) | 是 | 750.12 | 375.10 | 375.02 | 150.02 |
| q2-4206 | reference | 750.12 | (207,742) | 是 | 838.72 | 94.21 | 655.91 | 167.74 |
| q2-4207 | optimal | 750.12 | (1205,476) | 是 | 899.09 | 90.85 | 659.27 | 179.82 |
| q2-4207 | baseline_perp | 750.12 | (578,1465) | 否 | 1817.31 | 90.78 | 659.34 | 200.00 |
| q2-4207 | baseline_mec | 750.12 | (1028,299) | 是 | 750.12 | 375.09 | 375.03 | 150.02 |
| q2-4207 | reference | 750.12 | (1028,49) | 是 | 852.52 | 92.97 | 657.15 | 170.50 |
| q2-4208 | optimal | 750.19 | (-1409,-294) | 是 | 901.20 | 90.75 | 659.44 | 180.24 |
| q2-4208 | baseline_perp | 750.19 | (-8,239) | 否 | 1817.46 | 90.79 | 659.40 | 200.00 |
| q2-4208 | baseline_mec | 750.19 | (-1167,-229) | 是 | 750.19 | 375.10 | 375.09 | 150.04 |
| q2-4208 | reference | 750.19 | (-1417,-229) | 是 | 849.54 | 93.05 | 657.14 | 169.91 |
| q2-4209 | optimal | 750.20 | (463,849) | 是 | 849.70 | 93.03 | 657.17 | 169.94 |
| q2-4209 | baseline_perp | 750.20 | (-621,1100) | 否 | 1817.43 | 90.79 | 659.41 | 200.00 |
| q2-4209 | baseline_mec | 750.20 | (527,607) | 是 | 750.20 | 375.10 | 375.10 | 150.04 |
| q2-4209 | reference | 750.20 | (527,857) | 是 | 901.34 | 90.74 | 659.46 | 180.27 |
| q2-4210 | optimal | 706.03 | (-429,1151) | 是 | 915.53 | 63.69 | 642.34 | 183.11 |
| q2-4210 | baseline_perp | 706.03 | (-206,15) | 否 | 1722.00 | 80.64 | 625.39 | 200.00 |
| q2-4210 | baseline_mec | 706.03 | (-145,1227) | 是 | 706.03 | 353.02 | 353.02 | 141.21 |
| q2-4210 | reference | 706.03 | (-366,1080) | 是 | 830.65 | 72.40 | 633.63 | 166.13 |
| q2-4211 | optimal | 750.20 | (-619,-443) | 是 | 901.34 | 90.74 | 659.46 | 180.27 |
| q2-4211 | baseline_perp | 750.20 | (-379,1037) | 否 | 1817.47 | 90.79 | 659.41 | 200.00 |
| q2-4211 | baseline_mec | 750.20 | (-554,-202) | 是 | 750.20 | 375.10 | 375.10 | 150.04 |
| q2-4211 | reference | 750.20 | (-554,-451) | 是 | 943.43 | 94.71 | 655.49 | 188.69 |
| q2-4212 | optimal | 750.13 | (343,-10) | 是 | 905.38 | 90.90 | 659.23 | 181.08 |
| q2-4212 | baseline_perp | 750.13 | (1486,-980) | 否 | 1817.34 | 90.78 | 659.35 | 200.00 |
| q2-4212 | baseline_mec | 750.13 | (520,-187) | 是 | 750.13 | 375.09 | 375.04 | 150.03 |
| q2-4212 | reference | 750.13 | (520,-437) | 是 | 845.04 | 93.65 | 656.48 | 169.01 |
| q2-4213 | optimal | 750.12 | (-347,-795) | 是 | 859.45 | 92.44 | 657.68 | 171.89 |
| q2-4213 | baseline_perp | 750.12 | (-1650,-75) | 否 | 1817.31 | 90.77 | 659.34 | 200.00 |
| q2-4213 | baseline_mec | 750.12 | (-524,-618) | 是 | 750.12 | 375.09 | 375.03 | 150.02 |
| q2-4213 | reference | 750.12 | (-524,-368) | 是 | 893.01 | 90.88 | 659.24 | 178.60 |
| q2-4214 | optimal | 750.16 | (623,-1142) | 是 | 906.31 | 90.87 | 659.29 | 181.26 |
| q2-4214 | baseline_perp | 750.16 | (-445,-639) | 否 | 1817.36 | 90.78 | 659.38 | 200.00 |
| q2-4214 | baseline_mec | 750.16 | (559,-1383) | 是 | 750.16 | 375.09 | 375.07 | 150.03 |
| q2-4214 | reference | 750.16 | (559,-1134) | 是 | 855.60 | 92.58 | 657.58 | 171.12 |
| q2-4215 | optimal | 559.27 | (-1338,120) | 是 | 820.56 | 35.56 | 523.71 | 164.11 |
| q2-4215 | baseline_perp | 559.27 | (-731,-1350) | 否 | 1513.40 | 59.96 | 499.32 | 200.00 |
| q2-4215 | baseline_mec | 559.27 | (-1224,-306) | 是 | 559.27 | 279.64 | 279.64 | 111.85 |
| q2-4215 | reference | 559.27 | (-1444,-636) | 是 | 828.17 | 35.86 | 523.42 | 165.63 |
| q2-4216 | optimal | 725.32 | (-758,-1062) | 是 | 869.88 | 65.59 | 659.73 | 173.97 |
| q2-4216 | baseline_perp | 725.32 | (-669,40) | 否 | 1747.41 | 79.80 | 645.52 | 200.00 |
| q2-4216 | baseline_mec | 725.32 | (-1023,-1133) | 是 | 725.32 | 362.66 | 362.66 | 145.06 |
| q2-4216 | reference | 725.32 | (-749,-1133) | 是 | 919.99 | 63.67 | 661.65 | 184.00 |
| q2-4217 | optimal | 750.16 | (-1472,727) | 是 | 848.85 | 93.13 | 657.03 | 169.77 |
| q2-4217 | baseline_perp | 750.16 | (10,819) | 否 | 1817.41 | 90.78 | 659.38 | 200.00 |
| q2-4217 | baseline_mec | 750.16 | (-1231,663) | 是 | 750.16 | 375.09 | 375.07 | 150.03 |
| q2-4217 | reference | 750.16 | (-1481,663) | 是 | 900.62 | 90.77 | 659.39 | 180.12 |
| q2-4218 | optimal | 750.18 | (-332,-300) | 是 | 864.09 | 92.27 | 657.91 | 172.82 |
| q2-4218 | baseline_perp | 750.18 | (-1821,-299) | 否 | 1817.39 | 90.78 | 659.39 | 200.00 |
| q2-4218 | baseline_mec | 750.18 | (-573,-235) | 是 | 750.18 | 375.09 | 375.08 | 150.04 |
| q2-4218 | reference | 750.18 | (-323,-235) | 是 | 913.40 | 91.48 | 658.69 | 182.68 |
| q2-4219 | optimal | 750.13 | (-75,786) | 是 | 868.14 | 91.76 | 658.37 | 173.63 |
| q2-4219 | baseline_perp | 750.13 | (-100,-705) | 否 | 1817.34 | 90.78 | 659.35 | 200.00 |
| q2-4219 | baseline_mec | 750.13 | (-140,544) | 是 | 750.13 | 375.09 | 375.04 | 150.03 |
| q2-4219 | reference | 750.13 | (-140,794) | 是 | 916.75 | 91.35 | 658.78 | 183.35 |
| q2-4220 | optimal | 750.13 | (-142,237) | 是 | 865.60 | 92.06 | 658.07 | 173.12 |
| q2-4220 | baseline_perp | 750.13 | (-1191,-184) | 否 | 1817.34 | 90.78 | 659.35 | 200.00 |
| q2-4220 | baseline_mec | 750.13 | (35,60) | 是 | 750.13 | 375.09 | 375.04 | 150.03 |
| q2-4220 | reference | 750.13 | (285,60) | 是 | 887.39 | 90.95 | 659.18 | 177.48 |
| q2-4221 | optimal | 750.12 | (537,-636) | 是 | 859.18 | 92.47 | 657.65 | 171.84 |
| q2-4221 | baseline_perp | 750.12 | (-232,638) | 否 | 1817.32 | 90.78 | 659.35 | 200.00 |
| q2-4221 | baseline_mec | 750.12 | (472,-395) | 是 | 750.12 | 375.09 | 375.03 | 150.02 |
| q2-4221 | reference | 750.12 | (472,-644) | 是 | 801.14 | 98.78 | 651.34 | 160.23 |
| q2-4222 | optimal | 672.85 | (1340,149) | 是 | 896.12 | 46.69 | 626.15 | 179.22 |
| q2-4222 | baseline_perp | 672.85 | (461,-526) | 否 | 1662.43 | 70.95 | 601.90 | 200.00 |
| q2-4222 | baseline_mec | 672.85 | (1571,-82) | 是 | 672.85 | 336.42 | 336.42 | 134.57 |
| q2-4222 | reference | 672.85 | (1326,82) | 是 | 830.57 | 53.42 | 619.43 | 166.11 |
| q2-4223 | optimal | 395.70 | (-1736,-787) | 是 | 696.84 | 21.22 | 374.48 | 139.37 |
| q2-4223 | baseline_perp | 395.70 | (-1461,-1548) | 否 | 1286.11 | 39.72 | 355.98 | 200.00 |
| q2-4223 | baseline_mec | 395.70 | (-1416,-467) | 是 | 395.70 | 197.85 | 197.85 | 79.14 |
| q2-4223 | reference | 395.70 | (-1416,-14) | 是 | 716.03 | 20.83 | 374.87 | 143.21 |
| q2-4224 | optimal | 750.16 | (-899,669) | 是 | 888.47 | 90.87 | 659.29 | 177.69 |
| q2-4224 | baseline_perp | 750.16 | (467,1281) | 否 | 1817.40 | 90.78 | 659.38 | 200.00 |
| q2-4224 | baseline_mec | 750.16 | (-657,734) | 是 | 750.16 | 375.09 | 375.07 | 150.03 |
| q2-4224 | reference | 750.16 | (-907,734) | 是 | 834.61 | 94.50 | 655.66 | 166.92 |
| q2-4225 | optimal | 750.12 | (-305,-294) | 是 | 866.51 | 91.95 | 658.17 | 173.30 |
| q2-4225 | baseline_perp | 750.12 | (-1064,-1577) | 否 | 1817.31 | 90.77 | 659.34 | 200.00 |
| q2-4225 | baseline_mec | 750.12 | (-482,-470) | 是 | 750.12 | 375.10 | 375.02 | 150.02 |
| q2-4225 | reference | 750.12 | (-732,-470) | 是 | 886.54 | 91.02 | 659.10 | 177.31 |
| q2-4226 | optimal | 750.12 | (587,389) | 是 | 898.38 | 90.90 | 659.22 | 179.68 |
| q2-4226 | baseline_perp | 750.12 | (1757,433) | 否 | 1817.31 | 90.77 | 659.34 | 200.00 |
| q2-4226 | baseline_mec | 750.12 | (523,630) | 是 | 750.12 | 375.11 | 375.01 | 150.02 |
| q2-4226 | reference | 750.12 | (523,380) | 是 | 941.12 | 94.47 | 655.65 | 188.22 |
| q2-4227 | optimal | 527.91 | (711,-1627) | 是 | 843.99 | 29.98 | 497.92 | 168.80 |
| q2-4227 | baseline_perp | 527.91 | (1503,-1122) | 否 | 1466.90 | 55.63 | 472.28 | 200.00 |
| q2-4227 | baseline_mec | 527.91 | (377,-1293) | 是 | 527.91 | 263.95 | 263.95 | 105.58 |
| q2-4227 | reference | 527.91 | (-95,-1293) | 是 | 819.70 | 30.74 | 497.17 | 163.94 |
| q2-4228 | optimal | 750.12 | (-160,534) | 是 | 892.39 | 90.93 | 659.19 | 178.48 |
| q2-4228 | baseline_perp | 750.12 | (20,2020) | 否 | 1817.31 | 90.77 | 659.34 | 200.00 |
| q2-4228 | baseline_mec | 750.12 | (-96,775) | 是 | 750.12 | 375.11 | 375.01 | 150.02 |
| q2-4228 | reference | 750.12 | (-96,525) | 是 | 936.39 | 93.58 | 656.54 | 187.28 |
| q2-4229 | optimal | 750.20 | (455,-883) | 是 | 876.70 | 91.34 | 658.86 | 175.34 |
| q2-4229 | baseline_perp | 750.20 | (-684,-787) | 否 | 1817.44 | 90.79 | 659.41 | 200.00 |
| q2-4229 | baseline_mec | 750.20 | (519,-1124) | 是 | 750.20 | 375.10 | 375.10 | 150.04 |
| q2-4229 | reference | 750.20 | (519,-874) | 是 | 923.76 | 91.91 | 658.30 | 184.75 |
## 逐方法汇总
| 方法 | 保证接收率 | 最坏后验均值(m) | 中位(m) | 平均收缩(m) | 终值比 ρ'/ρ | 移动均值(s) |
| --- | --- | --- | --- | --- | --- | --- |
| optimal | 100.0% | 73.89 | 90.90 | 607.58 | 0.104 | 170.44 |
| baseline_perp | 0.0% | 80.11 | 90.78 | 601.36 | 0.116 | 200.00 |
| baseline_mec | 100.0% | 340.75 | 375.09 | 340.72 | 0.500 | 136.29 |
| reference | 100.0% | 75.63 | 91.35 | 605.84 | 0.106 | 170.28 |
初始 ρ 均值：681.47 m