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Test problem alternatives
| Activities | CT | NT | CC | NC |
|---|---|---|---|---|
| 1 | 14 | 24 | 2,400 | 1,500 |
| 2 | 15 | 25 | 3,000 | 1,000 |
| 3 | 15 | 33 | 4,500 | 3,200 |
| 4 | 12 | 20 | 45,000 | 30,000 |
| 5 | 22 | 30 | 20,000 | 10,000 |
| 6 | 14 | 24 | 40,000 | 18,000 |
| 7 | 09 | 18 | 30,000 | 20,000 |
| 8 | 14 | 24 | 220 | 120 |
| 9 | 15 | 25 | 300 | 100 |
| 10 | 15 | 33 | 450 | 320 |
| 11 | 12 | 20 | 450 | 300 |
| 12 | 22 | 30 | 2,000 | 1,000 |
| 13 | 14 | 24 | 4,000 | 1,800 |
| 14 | 09 | 18 | 3,000 | 2,200 |
| 15 | 16 | 16 | 3,500 | 3,500 |
| 16 | 20 | 30 | 3,000 | 1,000 |
| 17 | 14 | 24 | 4,000 | 1,800 |
| 18 | 09 | 18 | 3,000 | 2,200 |
Statistical Analysis of fuzzy-GSK, fuzzy-NSGA-II, and fuzzy-iMOGA (for 18 activities)
| Algorithm | Project time | Project cost | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Min | Max | Mean | Median | Mode | Std | Min | Max | Mean | Median | Mode | Std | |
| Fuzzy-GSK | 104 | 169 | 125.7 | 116.7 | 169 | 20.07 | 9.804e+04 | 1.267e+05 | 1.07e+05 | 1.027e+05 | 9.084e+04 | 9,068 |
| Fuzzy-NSGA-II | 104 | 169 | 123.8 | 113.8 | 104 | 19.23 | 9.81e+04 | 1.274e+05 | 1.077e+05 | 1.038e+05 | 9.81e+04 | 9,298 |
| Fuzzy-iMOGA | 104 | 136.6 | 113.5 | 111.1 | 104 | 8.691 | 1.029e+05 | 1.321e+05 | 1.16e+05 | 1.15e+05 | 1.029e+05 | 8,930 |
Statistical analysis of fuzzy-GSK, fuzzy-NSGA-II, and fuzzy-iMOGA (for seven activities)
| Algorithm | Project time | Project cost | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Min | Max | Mean | Median | Mode | Std | Min | Max | Mean | Median | Mode | Std | |
| Fuzzy-GSK | 60 | 105 | 77 | 75.3 | 60 | 13.05 | 9.62e+04 | 1.417e+05 | 1.137e+05 | 1.105e+05 | 9.62e+04 | 1.449e+04 |
| Fuzzy-NSGA-II | 60 | 105 | 77.4 | 74.68 | 105 | 13.35 | 9.62e+04 | 1.418e+05 | 1.134e+05 | 1.112e+05 | 9.62e+04 | 1.419e+04 |
| Fuzzy-iMOGA | 60.6 | 95.56 | 74.7 | 73.04 | 60.6 | 10.41 | 9.733e+04 | 1.422e+05 | 1.156e+05 | 1.137e+05 | 9.733e+05 | 1.334e+04 |
Statistical results for 18 activities
| Statistical values | Completion time | Total cost | Unpredictable factors |
|---|---|---|---|
| Min | 97.1 | 9.185e+04 | ME = 0.9, LE = 0.8, WC = 0.1 |
| Max | 141 | 1.45e+05 | |
| Mean | 112.4 | 1.028e+04 | |
| Median | 108.3 | 9.611e+04 | |
| Mode | 97.1 | 9.185e+04 | |
| Std | 13.59 | 1.294e+04 | |
| Range | 43.86 | 5.32e+04 | |
| Min | 104 | 9.88e+04 | ME = 0.5, LE = 0.5, WC = 0.5 |
| Max | 161 | 1.296e+05 | |
| Mean | 122.5 | 1.079e+05 | |
| Median | 113.9 | 1.036e+05 | |
| Mode | 104 | 9.88e+04 | |
| Std | 17.02 | 9372 | |
| Range | 56.98 | 3.077e+04 | |
| Min | 114.9 | 1.089e+05 | ME = 0.9, LE-0.5, WC = 0.1 |
| Max | 182.8 | 1.528e+05 | |
| Mean | 137.6 | 1.196e+05 | |
| Median | 129.2 | 1.138e+05 | |
| Mode | 114.9 | 1.089e+05 | |
| Std | 21.36 | 1.142e+04 | |
| Range | 67.83 | 4.393e+04 | |
| Min | 119.2 | 1.124e+05 | ME = 0.1, LE = 0.1, WC = 0.1 |
| Max | 193.7 | 1.475e+05 | |
| Mean | 143.8 | 1.23e+05 | |
| Median | 134 | 1.177e+05 | |
| Mode | 193.7 | 1.124e+05 | |
| Std | 23.15 | 1.102e+04 | |
| Range | 74.51 | 3.509e+04 | |
Statistical Analysis of fuzzy-GSK, fuzzy-NSGA-II, and fuzzy-iMOGA (for 13 activities)
| Algorithm | Project time | Project cost | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Min | Max | Mean | Median | Mode | Std | Min | Max | Mean | Median | Mode | Std | |
| Fuzzy-GSK | 108 | 125 | 115.5 | 115.3 | 108 | 4.951 | 2.44e+04 | 2.684e+04 | 2.543e+04 | 2.536e+04 | 2.44e+04 | 729.3 |
| Fuzzy-NSGA-II | 108 | 125 | 115.7 | 115.5 | 108 | 5.014 | 2.44e+04 | 2.684e+04 | 2.541e+04 | 2.534e+04 | 2.44e+04 | 735.9 |
| Fuzzy-iMOGA | 108 | 121.1 | 114.1 | 114 | 108 | 3.94 | 2.46e+04 | 2.689e+04 | 2.562e+04 | 2.556e+04 | 2.46e+04 | 672.3 |
Statistical results for 13 activities
| Statistical values | Completion time | Total cost | Unpredictable factors |
|---|---|---|---|
| Min | 100.8 | 2.278e+04 | ME = 0.9, LE = 0.8, WC = 0.1 |
| Max | 116.7 | 2.507e+04 | |
| Mean | 107.3 | 2.382e+04 | |
| Median | 106.8 | 2.38e+04 | |
| Mode | 100.8 | 2.278e+04 | |
| Std | 4.429 | 676.5 | |
| Range | 15.85 | 2288 | |
| Min | 108 | 2.44e+04 | ME = 0.5, LE = 0.5, WC = 0.5 |
| Max | 125 | 2.708e+04 | |
| Mean | 115 | 2.555e+04 | |
| Median | 114.2 | 2.544e+04 | |
| Mode | 125 | 2.44e+04 | |
| Std | 5.068 | 783.6 | |
| Range | 17 | 2677 | |
| Min | 119.4 | 2.684e+04 | ME = 0.9, LE = 0.5, WC = 0.1 |
| Max | 138.2 | 2.967e+04 | |
| Mean | 127.2 | 2.809e+04 | |
| Median | 126.4 | 2.808e+04 | |
| Mode | 119.4 | 2.967e+04 | |
| Std | 5.522 | 834.5 | |
| Range | 18.8 | 2822 | |
| Min | 123.8 | 2.779e+04 | ME = 0.1, LE = 0.1, WC = 0.1 |
| Max | 143.3 | 3.078e+04 | |
| Mean | 132.1 | 2.907e+04 | |
| Median | 131.9 | 2.899e+04 | |
| Mode | 123.8 | 2.799e+04 | |
| Std | 5.68 | 878.2 | |
| Range | 19.48 | 2983 | |
Statistical results for seven activities
| Statistical Values | Completion time | Total cost | Unpredictable Factors |
|---|---|---|---|
| Min | 56.02 | 7.815e+04 | ME = 0.9, LE = 0.8, WC = 0.1 |
| Max | 98.02 | 1.148e+05 | |
| Mean | 70.48 | 9.11e+04 | |
| Median | 66.44 | 8.813e+04 | |
| Mode | 56.02 | 7.815e+04 | |
| Std | 12.69 | 1.174e+04 | |
| Range | 42 | 3.663e+04 | |
| Min | 60 | 8.372e+04 | ME = 0.5, LE = 0.5, WC = 0.5 |
| Max | 105 | 1.23e+05 | |
| Mean | 76.1 | 9.717e+04 | |
| Median | 72.39 | 9.305e+04 | |
| Mode | 60 | 8.372e+04 | |
| Std | 13.86 | 1.275e+04 | |
| Range | 45 | 3.923e+04 | |
| Min | 66.32 | 9.253e+04 | ME = 0.9, LE = 0.5, WC = 0.1 |
| Max | 116.1 | 1.338e+05 | |
| Mean | 84.47 | 1.062e+05 | |
| Median | 80.42 | 1.026e+05 | |
| Mode | 116.1 | 9.253e+04 | |
| Std | 14.77 | 1.259e+04 | |
| Range | 49.74 | 4.127e+04 | |
| Min | 68.79 | 9.594e+04 | ME = 0.1, LE = 0.1, WC = 0.1 |
| Max | 120.4 | 1.388e+05 | |
| Mean | 86.9 | 1.107e+05 | |
| Median | 83.33 | 1.063e+05 | |
| Mode | 68.79 | 9.594e+05 | |
| Std | 14.78 | 1.37e+04 | |
| Range | 51.58 | 4.285e+04 | |