Research Article
A Hybrid Approach to Solve a Model of Closed-Loop Supply Chain
Table 5
Values of proposed algorithms in parameter tuning.
| | Problem number | | | | | | | | | PHGF | EHGF | ISHGF | WHGF |
| | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 52.3200 | 1.1200 | 14.0600 | 5.8000 | | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 71.2600 | 41.8600 | 16.8700 | 1.7700 | | 3 | 3 | 3 | 3 | 3 | 1 | 1 | 1 | 1 | 14.0300 | 2.1800 | 14.4000 | 18.7800 | | 4 | 2 | 1 | 1 | 1 | 2 | 2 | 2 | 1 | 4.1300 | 11.8000 | 18.0400 | 41.0000 | | 5 | 3 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 12.9900 | 23.9200 | 38.1800 | 4.5800 | | 6 | 1 | 3 | 3 | 3 | 2 | 2 | 2 | 1 | 3.1900 | 6.9100 | 12.7900 | 0.0000 | | 7 | 3 | 1 | 1 | 1 | 3 | 3 | 3 | 1 | 2.4700 | 31.3700 | 7.2200 | 53.9300 | | 8 | 1 | 2 | 2 | 2 | 3 | 3 | 3 | 1 | 18.0600 | 0.0000 | 57.5700 | 11.8900 | | 9 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 1 | 31.8800 | 18.8100 | 41.1100 | 48.2300 | | 10 | 1 | 3 | 2 | 1 | 3 | 2 | 1 | 2 | 10.5400 | 3.7000 | 17.6400 | 1.4100 | | 11 | 2 | 1 | 3 | 2 | 3 | 2 | 1 | 2 | 93.4500 | 65.1600 | 62.4800 | 39.3300 | | 12 | 3 | 2 | 1 | 3 | 3 | 2 | 1 | 2 | 92.3300 | 12.7800 | 56.5400 | 17.2400 | | 13 | 2 | 3 | 2 | 1 | 1 | 3 | 2 | 2 | 10.9800 | 21.4500 | 43.1000 | 11.4100 | | 14 | 3 | 1 | 3 | 2 | 1 | 3 | 2 | 2 | 13.9500 | 14.7800 | 68.5200 | 12.2000 | | 15 | 1 | 2 | 1 | 3 | 1 | 3 | 2 | 2 | 17.7200 | 72.2900 | 39.4100 | 55.9300 | | 16 | 3 | 3 | 2 | 1 | 2 | 1 | 3 | 2 | 33.4700 | 23.8600 | 33.4600 | 16.7600 | | 17 | 1 | 1 | 3 | 2 | 2 | 1 | 3 | 2 | 19.3600 | 79.2100 | 41.6500 | 32.1600 | | 18 | 2 | 2 | 1 | 3 | 2 | 1 | 3 | 2 | 91.3600 | 66.3900 | 43.7200 | 23.8700 | | 19 | 1 | 2 | 3 | 1 | 2 | 3 | 1 | 3 | 28.7100 | 44.5700 | 53.7800 | 3.0500 | | 20 | 2 | 3 | 1 | 2 | 2 | 3 | 1 | 3 | 4.6800 | 0.6900 | 6.6500 | 6.4200 | | 21 | 3 | 1 | 2 | 3 | 2 | 3 | 1 | 3 | 23.8800 | 21.4600 | 82.0400 | 11.8900 | | 22 | 2 | 2 | 3 | 1 | 3 | 1 | 2 | 3 | 29.0600 | 72.3600 | 55.5700 | 74.6000 | | 23 | 3 | 3 | 1 | 2 | 3 | 1 | 2 | 3 | 82.1800 | 4.8300 | 51.6000 | 82.5400 | | 24 | 1 | 1 | 2 | 3 | 3 | 1 | 2 | 3 | 47.0000 | 81.5000 | 44.8400 | 46.3100 | | 25 | 3 | 2 | 3 | 1 | 1 | 2 | 3 | 3 | 19.8900 | 35.3300 | 0.0000 | 98.0700 | | 26 | 1 | 3 | 1 | 2 | 1 | 2 | 3 | 3 | 0.0000 | 7.0600 | 1.7000 | 18.0400 | | 27 | 2 | 1 | 2 | 3 | 1 | 2 | 3 | 3 | 78.8300 | 47.7000 | 37.6400 | 80.2100 |
|
|
