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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
  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    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