Table 7 Optimum results of different models using various methods
From: A solid transportation problem with safety factor under different uncertainty environments
Optimal solution | Expected value model | Chance-constrained programming | Approach using interval approximation of fuzzy number | ||
|---|---|---|---|---|---|
| Â | Model 1 | Model 5 | Model 2 | Model 4 | Model 3 |
Min (Z) | 267.75 | 443.06 | 456.80 | 278.50 | 326.61 |
x 111 | 6.25 | 0 | 5.60 | 0 | 0.25 |
x 211 | 0 | 0 | 0 | 0 | 0.50 |
x 311 | 0 | 0 | 0 | 4.30 | 0 |
x 121 | 0 | 0 | 0 | 7.70 | 0 |
x 221 | 0 | Â | Â | 0 | 0 |
x 321 | 11 | 11 | 12.6 | 0 | 11.27 |
x 131 | 0 | 0 | 0 | 0 | 0 |
x 231 | 0 | 0 | 0 | 0 | 0 |
x 331 | 0 | 2.50 | 0 | 6.20 | 4.7 |
x 112 | 0 | 0 | 0 | 5.30 | 0 |
x 212 | 3.25 | 9.5 | 4 | 0 | 6.82 |
x 312 | 0 | 0 | 0 | 0 | 5.73 |
x 122 | 0 | 0 | 0 | 0 | 0 |
x 222 | 0 | 0 | 0 | 0 | 0 |
x 322 | 0 | 0 | 0 | 4.90 | 0 |
x 132 | 0 | 0 | 0 | 0 | 0 |
x 232 | 0 | 0 | 0 | 0 | 0 |
x 332 | 4.75 | 2.25 | 6.20 | 0 | 0 |