Table 5.
The Inverted Generational Distance (IGD) metric obtained for the eight trusses.
| IGD | MOSCA | MODA | MOWHO | MOMFO | MOMPA | NSGA-II | DEMO | MOCS | MOCS2arc | |
|---|---|---|---|---|---|---|---|---|---|---|
| 10-bar | average | 2745.62 | 2730.20 | 832.73 | 370.75 | 1213.78 | 702.55 | 2976.14 | 1558.64 | 72.53 |
| max | 6933.49 | 4529.78 | 1708.29 | 665.96 | 3101.46 | 1882.79 | 4225.34 | 4623.60 | 87.79 | |
| min | 555.55 | 1332.31 | 555.71 | 304.74 | 433.02 | 304.85 | 1500.75 | 329.46 | 58.16 | |
| std | 1489.92 | 873.66 | 266.99 | 65.35 | 572.63 | 356.30 | 655.62 | 1043.12 | 6.61 | |
| Friedman | 7 | 8 | 4 | 2 | 5 | 4 | 8 | 6 | 1 | |
| 25-bar | average | 1073.18 | 618.77 | 295.24 | 125.33 | 271.10 | 215.57 | 864.37 | 119.32 | 23.50 |
| max | 2066.33 | 1586.14 | 684.00 | 167.86 | 878.91 | 336.73 | 1598.96 | 462.12 | 27.23 | |
| min | 300.94 | 102.34 | 196.79 | 91.15 | 161.33 | 110.29 | 430.16 | 7.83 | 21.14 | |
| std | 494.35 | 382.31 | 114.99 | 18.78 | 145.10 | 65.69 | 342.00 | 129.73 | 1.44 | |
| Friedman | 8 | 7 | 6 | 3 | 5 | 4 | 8 | 3 | 1 | |
| 37-bar | average | 467.90 | 538.91 | 268.45 | 109.96 | 331.13 | 197.20 | 616.06 | 255.97 | 25.28 |
| max | 1168.71 | 877.15 | 454.91 | 172.82 | 569.71 | 568.30 | 899.63 | 475.72 | 50.48 | |
| min | 192.92 | 178.41 | 101.83 | 66.40 | 155.09 | 56.53 | 361.37 | 54.72 | 12.64 | |
| std | 218.64 | 171.10 | 91.23 | 24.43 | 109.49 | 104.47 | 164.34 | 113.09 | 9.33 | |
| Friedman | 7 | 8 | 5 | 2 | 6 | 4 | 8 | 5 | 1 | |
| 60-bar | average | 1792.82 | 1218.85 | 1098.17 | 376.56 | 1361.96 | 629.12 | 1396.28 | 1234.36 | 250.87 |
| max | 2196.37 | 2153.27 | 1746.90 | 536.28 | 1998.78 | 1083.90 | 1804.59 | 1731.91 | 514.03 | |
| min | 1400.48 | 506.93 | 582.06 | 196.12 | 669.87 | 258.34 | 896.16 | 543.63 | 34.13 | |
| std | 196.28 | 427.45 | 356.96 | 88.20 | 362.78 | 229.27 | 230.65 | 283.86 | 145.91 | |
| Friedman | 8.53 | 5.80 | 5.57 | 2.00 | 6.40 | 2.93 | 6.67 | 5.80 | 1.30 | |
| 72-bar | average | 1680.48 | 2007.66 | 606.59 | 532.77 | 1222.06 | 710.20 | 2844.78 | 1120.69 | 275.61 |
| max | 3446.79 | 3150.15 | 1189.26 | 670.61 | 2597.02 | 1963.66 | 3935.13 | 2025.45 | 597.13 | |
| min | 787.05 | 979.36 | 411.93 | 339.26 | 491.13 | 337.15 | 1995.98 | 337.18 | 87.29 | |
| std | 542.05 | 615.41 | 158.43 | 70.45 | 685.10 | 359.63 | 521.40 | 433.13 | 120.53 | |
| Friedman | 7 | 8 | 3 | 3 | 5 | 4 | 9 | 5 | 1 | |
| 120-bar | average | 26,458.45 | 15,990.03 | 8830.44 | 2428.11 | 9071.80 | 6095.71 | 24,671.07 | 9779.50 | 544.97 |
| max | 53,490.61 | 35,165.67 | 16,283.00 | 3633.72 | 19,669.17 | 24,881.92 | 35,150.31 | 25,483.75 | 776.25 | |
| min | 8165.97 | 4364.32 | 4224.91 | 1901.44 | 4935.16 | 2033.41 | 14,953.92 | 744.96 | 454.88 | |
| std | 12,466.54 | 6585.11 | 3236.28 | 434.42 | 3808.48 | 4485.86 | 5147.76 | 5923.13 | 67.73 | |
| Friedman | 8 | 7 | 5 | 2 | 5 | 4 | 8 | 5 | 1 | |
| 200-bar | average | 4649.28 | 6850.88 | 6325.99 | 3056.08 | 5989.27 | 3336.65 | 7056.72 | 2849.64 | 184.39 |
| max | 6931.05 | 8949.37 | 8988.69 | 4148.98 | 7409.83 | 5447.93 | 8653.60 | 4045.14 | 257.54 | |
| min | 2991.74 | 4579.69 | 3700.03 | 1525.47 | 4058.73 | 1358.92 | 5444.14 | 1430.83 | 125.62 | |
| std | 1169.91 | 1170.68 | 1415.24 | 631.53 | 903.21 | 856.21 | 740.43 | 641.99 | 32.18 | |
| Friedman | 5 | 8 | 7 | 3 | 7 | 3 | 8 | 3 | 1 | |
| 942-bar | average | 572,834.83 | 652,778.82 | 582,596.86 | 508,433.96 | 492,513.50 | 230,009.60 | 794,526.32 | 537,864.91 | 16,144.13 |
| max | 1,004,369.86 | 787,377.71 | 707,085.27 | 792,921.10 | 673,367.45 | 488,478.09 | 846,384.22 | 808,868.98 | 21,722.53 | |
| min | 214,886.91 | 545,782.82 | 471,859.15 | 382,213.59 | 395,964.30 | 151,661.35 | 684,481.80 | 218,764.99 | 12,820.02 | |
| std | 203,982.40 | 61,138.65 | 63,207.04 | 91,830.57 | 60,257.84 | 67,035.00 | 39,121.22 | 149,751.72 | 2108.47 | |
| Frank | 6 | 7 | 6 | 5 | 4 | 2 | 9 | 6 | 1 | |
| Average Friedman | 57.10 | 57.13 | 41.50 | 21.77 | 43.50 | 27.83 | 64.67 | 37.93 | 8.57 | |
| Overall Friedman rank | 7 | 7 | 5 | 3 | 5 | 3 | 8 | 5 | 1 | |
Significance values are in bold.