Table 4:
Optimal solution and Critical Region definition of Problem (7).
| Critical Region | Definition | Optimal Binary Solution | Objective Function |
|---|---|---|---|
| CR1 | 2.800 ≤ ∊ ≤ 3.044 | y = [0 0 0 1 0 0 1]T | f1 = 272.6∊ + 9, 930.7 f2 = ∊ |
| CR2 | 3.044 ≤ ∊ ≤ 3.080 | y = [0 0 0 1 0 0 1]T | f1 = 10,671 f2 = 3.080 |
| CR3 | 3.080 ≤ ∊ ≤ 3.960 | y = [0 0 0 1 0 0 1]T | f1 = 454.4∊ + 9, 360.8 f2 = ∊ |
| CR4 | 3.960 ≤ ∊ ≤ 6.660 | y = [0 0 0 1 0 1 1]T | f1 = 124.63∊ + 10, 931 f2 = ∊ |
| CR5 | 6.660 ≤ ∊ ≤ 6.735 | y = [0 0 0 1 0 1 1]T | f1 = 11, 761 f2 = 6.735 |
| CR6 | 6.735 ≤ ∊ ≤ 8.660 | y = [0 0 0 1 0 1 1]T | f1 = 207.8∊ + 10, 361 f2 = ∊ |
| CR7 | 8.660 ≤ ∊ ≤ 16.580 | y = [1 0 0 0 1 1 1]T | f1 = 16, 478 f2 = 16.580 |
| CR8 | 16.580 ≤ ∊ ≤ 17.065 | y = [1 0 0 0 1 1 1]T | f1 = 2, 476.8∊ − 24.589 f2 = ∊ |
| CR9 | 17.065 ≤ ∊ ≤ 18.454 | y = [1 0 0 1 1 1 1]T | f1 = 17, 678 f2 = ∊ |
| CR10 | 18.454 ≤ ∊ ≤ 20.196 | y = [1 0 0 1 1 1 1]T | f1 = 229.6∊ + 13, 342 f2 = ∊ |
| CR11 | 20.196 ≤ ∊ ≤ 20.240 | y = [1 0 0 1 1 1 1]T | f1 = 18, 078 f2 = ∊ |
| CR12 | 20.240 ≤ ∊ ≤ 21.283 | y = [1 0 0 1 1 1 1]T | f1 = 382.8∊ + 10, 332 f2 = ∊ |
| CR13 | 21.283 ≤ ∊ ≤ 23.461 | y = [1 0 0 1 1 1 1]T | f1 = 2,476.8∊ − 34, 236 f2 = ∊ |
| CR14 | 23.461 ≤ ∊ ≤ 25.872 | y = [1 0 0 1 1 1 1]T | f1 = 4, 828.6∊ − 89, 389 f2 = ∊ |