Non-inferior solutions obtained using the ε-constraint approach
| Assigned ε values | Objective function solutions | Facilities to open | |||||||
|---|---|---|---|---|---|---|---|---|---|
| No. | ε1 | ε2 | ε3 | Cost (OF1) (GBP) | Integrity (OF2) (items) | ROI (OF3) (GBP) | Capacity (OF4) (%) | Farms | Abattoirs |
| 1 | 6,771 | 397,600 | 0.65 | 131,051 | 6,876 | 397,600 | 0.65 | 1, 5 | 1, 4, 5 |
| 2 | 7,895 | 465,272 | 0.69 | 152,574 | 7,937 | 465,280 | 0.695 | 1, 5 | 1, 4, 5 |
| 3 | 9,019 | 532,944 | 0.715 | 185,735 | 9,019 | 532,960 | 0.72 | 1, 5 | 1, 4, 5 |
| 4 | 10,143 | 600,616 | 0.74 | 217,252 | 10,147 | 607,800 | 0.75 | 1, 4, 5 | 3, 4, 5 |
| 5 | 11,251 | 668,288 | 0.765 | 249,371 | 11,267 | 671,680 | 0.77 | 1, 4 | 1, 2, 5 |
| 6 | 12,391 | 735,960 | 0.79 | 294,938 | 12,638 | 735,960 | 0.8 | 1, 4, 5 | 1, 2, 3, 4, 5 |
| 7 | 13,515 | 803,632 | 0.815 | 348,498 | 13,868 | 803,640 | 0.815 | 1, 3, 4, 5 | 1, 2, 4, 5 |
| 8 | 14,639 | 871,304 | 0.84 | 401,008 | 14,939 | 871,340 | 0.85 | 1, 2, 4, 5 | 1, 2, 3, 4, 5 |
| 9 | 15,763 | 938,976 | 0.865 | 484,449 | 15,989 | 938,980 | 0.87 | 1, 2, 3, 4, 5 | 1, 2, 3, 4, 5 |
| 10 | 16,887 | 1,006,648 | 0.89 | 563,408 | 17,038 | 1,006,660 | 0.905 | 1, 2, 3, 4, 5 | 1, 2, 3, 4, 5 |
| 11 | 18,011 | 1,074,320 | 0.915 | 642,321 | 18,087 | 1,074,320 | 0.92 | 1, 2, 3, 4, 5 | 1, 2, 3, 4, 5 |
| 12 | 19,135 | 1,141,992 | 0.95 | 721,281 | 19,137 | 1,142,000 | 0.96 | 1, 2, 3, 4, 5 | 1, 2, 3, 4, 5 |
| Assigned | Objective function solutions | Facilities to open | |||||||
|---|---|---|---|---|---|---|---|---|---|
| No. | Cost ( | Integrity ( | ROI ( | Capacity ( | Farms | Abattoirs | |||
| 1 | 6,771 | 397,600 | 0.65 | 131,051 | 6,876 | 397,600 | 0.65 | 1, 5 | 1, 4, 5 |
| 2 | 7,895 | 465,272 | 0.69 | 152,574 | 7,937 | 465,280 | 0.695 | 1, 5 | 1, 4, 5 |
| 3 | 9,019 | 532,944 | 0.715 | 185,735 | 9,019 | 532,960 | 0.72 | 1, 5 | 1, 4, 5 |
| 4 | 10,143 | 600,616 | 0.74 | 217,252 | 10,147 | 607,800 | 0.75 | 1, 4, 5 | 3, 4, 5 |
| 5 | 11,251 | 668,288 | 0.765 | 249,371 | 11,267 | 671,680 | 0.77 | 1, 4 | 1, 2, 5 |
| 6 | 12,391 | 735,960 | 0.79 | 294,938 | 12,638 | 735,960 | 0.8 | 1, 4, 5 | 1, 2, 3, 4, 5 |
| 7 | 13,515 | 803,632 | 0.815 | 348,498 | 13,868 | 803,640 | 0.815 | 1, 3, 4, 5 | 1, 2, 4, 5 |
| 8 | 14,639 | 871,304 | 0.84 | 401,008 | 14,939 | 871,340 | 0.85 | 1, 2, 4, 5 | 1, 2, 3, 4, 5 |
| 9 | 15,763 | 938,976 | 0.865 | 484,449 | 15,989 | 938,980 | 0.87 | 1, 2, 3, 4, 5 | 1, 2, 3, 4, 5 |
| 10 | 16,887 | 1,006,648 | 0.89 | 563,408 | 17,038 | 1,006,660 | 0.905 | 1, 2, 3, 4, 5 | 1, 2, 3, 4, 5 |
| 11 | 18,011 | 1,074,320 | 0.915 | 642,321 | 18,087 | 1,074,320 | 0.92 | 1, 2, 3, 4, 5 | 1, 2, 3, 4, 5 |
| 12 | 19,135 | 1,141,992 | 0.95 | 721,281 | 19,137 | 1,142,000 | 0.96 | 1, 2, 3, 4, 5 | 1, 2, 3, 4, 5 |
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