Research Article
Simplifying Multiproject Scheduling Problem Based on Design Structure Matrix and Its Solution by an Improved aiNet Algorithm
Table 8
Comparison of performance obtained by different algorithms.
| Problem subset | Schedules | ai-Net | SA | ACO | AIS | APD | LTM | CPUt | APD | LTM | CPUt | APD | LTM | CPUt | APD | LTM | CPUt |
| | 1000 | 15.3 | 72.2 | 0.08 | 13.3 | 78.6 | 0.04 | 17.5 | 69.3 | 0.04 | 16.6 | 74.1 | 0.06 | MP30_2 | 5000 | 11.0 | 71.9 | 0.2 | 10.9 | 75.9 | 0.15 | 17.0 | 69.1 | 0.18 | 15.9 | 73.3 | 0.32 | | 10000 | 9.9 | 70.8 | 0.66 | 9.8 | 73.1 | 0.50 | 16.4 | 68.5 | 0.85 | 15.1 | 73.3 | 0.92 |
| | 1000 | 18.9 | 99.6 | 0.52 | 25.6 | 116.4 | 0.3 | 18.8 | 107.8 | 0.6 | 18.1 | 113.2 | 0.41 | MP60_2 | 5000 | 16.3 | 96.6 | 2.1 | 21.5 | 111.7 | 1.2 | 18.5 | 106.5 | 2.5 | 17.5 | 112.1 | 1.9 | | 10000 | 14.2 | 93.9 | 7.8 | 19.3 | 109.8 | 3 | 18.5 | 106.1 | 9.8 | 17.1 | 110.5 | 7.8 |
| | 1000 | 28.3 | 181.2 | 1.51 | 27 | 176.2 | 0.54 | 35.6 | 207.9 | 0.85 | 27.1 | 192.2 | 0.71 | MP90_2 | 5000 | 24.1 | 174 | 6.1 | 26.9 | 175.9 | 2.3 | 34.9 | 204.6 | 2.51 | 26.5 | 189.1 | 1.9 | | 10000 | 21.9 | 169.3 | 13.4 | 26.9 | 175.9 | 6.2 | 34.5 | 201.1 | 6.8 | 26.1 | 187.9 | 5.8 |
| | 1000 | 67.2 | 207 | 2.4 | 66.7 | 264.4 | 0.75 | 65.9 | 202.4 | 1.1 | 87.6 | 284.6 | 0.74 | MP120_2 | 5000 | 66.5 | 203.5 | 11.2 | 66.3 | 242.4 | 2.84 | 65.9 | 202.4 | 3.2 | 84.1 | 262.2 | 3.5 | | 10000 | 65.8 | 199.1 | 25 | 66.3 | 232.2 | 8.7 | 65.9 | 201.9 | 9.7 | 83.8 | 260 | 10.1 |
| | 1000 | 21.2 | 99.6 | 0.09 | 20.1 | 92.5 | 0.06 | 22.4 | 93.5 | 0.07 | 25.6 | 101.4 | 0.07 | MP30_4 | 5000 | 19.4 | 95.3 | 0.24 | 19.3 | 91.3 | 0.19 | 19.2 | 89.2 | 0.18 | 24.3 | 97.5 | 0.21 | | 10000 | 18.6 | 92.2 | 0.7 | 18.6 | 91.3 | 0.55 | 19 | 89 | 0.61 | 22.1 | 95.1 | 0.61 |
| | 1000 | 42.3 | 131 | 0.72 | 41.9 | 147.4 | 0.41 | 42.1 | 130.4 | 0.98 | 41.9 | 129.8 | 0.62 | MP60_4 | 5000 | 39.4 | 125.4 | 4.3 | 41.5 | 140.3 | 1.79 | 42.0 | 124.7 | 3.7 | 41.9 | 127.6 | 3.9 | | 10000 | 35.1 | 121.1 | 10.2 | 41.5 | 138.6 | 4.5 | 41.8 | 124.5 | 8.8 | 41.8 | 127.5 | 9.5 |
| | 1000 | 69.3 | 254.3 | 1.9 | 87.4 | 253.3 | 0.9 | 67.3 | 287.9 | 1.2 | 67 | 296 | 0.7 | MP90_4 | 5000 | 65.5 | 251.4 | 9.5 | 81.3 | 252.4 | 2.76 | 65.1 | 277.6 | 5.1 | 66.9 | 275 | 4.8 | | 10000 | 63.1 | 239.1 | 25 | 75.6 | 252 | 6.1 | 64.8 | 274.1 | 10.3 | 66.9 | 251.4 | 11.3 |
| | 1000 | 87.5 | 348.6 | 3.1 | 121.6 | 345 | 1.2 | 150.4 | 387.9 | 1.5 | 86.9 | 340.5 | 1.34 | MP120_4 | 5000 | 85.5 | 325.1 | 13.1 | 119.3 | 340.1 | 5.3 | 144.3 | 366.4 | 6.1 | 86.5 | 338.1 | 5.77 | | 10000 | 83.1 | 319.6 | 34 | 115.6 | 335.7 | 10.5 | 140.2 | 354.2 | 12.9 | 86 | 335.2 | 14.8 |
| | 1000 | 31.1 | 110.6 | 0.12 | 30.1 | 152.5 | 0.09 | 42.4 | 193.5 | 0.08 | 30 | 141.4 | 0.11 | MP30_10 | 5000 | 29.4 | 105.3 | 0.49 | 29.9 | 141.3 | 0.41 | 39.2 | 189.2 | 0.4 | 29.3 | 127.5 | 0.52 | | 10000 | 28.5 | 102.2 | 1.2 | 28.8 | 132.9 | 0.95 | 39 | 189 | 1.1 | 29 | 115.1 | 1.3 |
| | 1000 | 62.3 | 181 | 0.99 | 88.9 | 246.4 | 0.85 | 82.1 | 270.1 | 1.3 | 62 | 229.1 | 0.82 | MP60_10 | 5000 | 59.4 | 175.4 | 4.8 | 85.3 | 241.4 | 3.9 | 82.0 | 254.3 | 6.3 | 60.8 | 227.2 | 4.1 | | 10000 | 55.1 | 172.1 | 12.1 | 84.1 | 238.5 | 8.1 | 81.8 | 244.5 | 14.1 | 59.9 | 225 | 11.1 |
| | 1000 | 130.9 | 319.5 | 2.4 | 128.7 | 353.1 | 1.1 | 129.3 | 387.9 | 1.7 | 137 | 326 | 1.2 | MP90_10 | 5000 | 122.5 | 311.2 | 12.3 | 126.6 | 351.4 | 3.2 | 120.1 | 361.6 | 5.3 | 126.9 | 324.3 | 3.1 | | 10000 | 113.1 | 306.7 | 41 | 125.6 | 351 | 7.5 | 119.8 | 344.2 | 13.1 | 121.1 | 321.4 | 12.1 |
| | 1000 | 291.4 | 497.2 | 5.2 | 352.4 | 652.3 | 2.7 | 288.3 | 487.9 | 3.1 | 287.9 | 540.5 | 3.34 | MP120_10 | 5000 | 275.1 | 483.1 | 18.3 | 344.9 | 640.9 | 7.3 | 280.1 | 486.4 | 8.2 | 286.5 | 538.1 | 9.77 | | 10000 | 261.1 | 473.1 | 54 | 335.1 | 637.7 | 15.5 | 275.6 | 484.2 | 17.9 | 286 | 535.2 | 27.6 |
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