Research Article
Fuzzy Constrained Probabilistic Inventory Models Depending on Trapezoidal Fuzzy Numbers
Table 2
The exact solutions and
(TC) for model (I) and model
) at Laplace distribution.
| | | Crisp case | Fuzzy case | | | (TC) | | | (TC) |
| 0.1 | 0.1 | 297.123 | 16.7406 | 4197.53 | 250.409 | 17.9466 | 2732.79 | 0.2 | 184.844 | 20.2428 | 2881.62 | 158.099 | 21.4789 | 1944.2 | 0.3 | 123.72 | 23.5092 | 2199.23 | 107.093 | 24.7322 | 1532.59 | 0.4 | 87.7213 | 26.4792 | 1823.44 | 76.7474 | 27.6615 | 1305.96 | 0.5 | 65.081 | 29.1581 | 1607.46 | 57.4314 | 30.2959 | 1176.14 | 0.6 | 50.1314 | 31.5604 | 1480.65 | 44.6116 | 32.6421 | 1100.83 | 0.7 | 39.9135 | 33.6954 | 1405.74 | 40.0084 | 33.6658 | 1052.46 | 0.8 | 35.8352 | 34.715 | 1357.91 | 36.8761 | 34.4363 | 1014.82 |
| 0.3 | 0.1 | 297.09 | 15.1563 | 4157.53 | 250.449 | 16.5519 | 2707.33 | 0.2 | 184.858 | 18.7738 | 2845.06 | 158.053 | 20.2063 | 1920.28 | 0.3 | 123.74 | 22.1162 | 2164.62 | 107.069 | 23.536 | 1510.28 | 0.4 | 87.6956 | 25.141 | 1789.72 | 76.6717 | 26.5228 | 1284.38 | 0.5 | 65.0979 | 27.8493 | 1574.89 | 57.4223 | 29.1839 | 1155.52 | 0.6 | 50.2117 | 30.2628 | 1448.85 | 44.5733 | 31.5604 | 1080.66 | 0.7 | 39.8244 | 32.4508 | 1374.04 | 40.0876 | 32.5659 | 1032.46 | 0.8 | 35.9 | 33.4388 | 1326.43 | 36.9506 | 33.3419 | 994.931 |
| 0.7 | 0.1 | 297.084 | 10.9477 | 4052.24 | 250.405 | 12.9997 | 2641.24 | 0.2 | 184.853 | 14.9711 | 2749.93 | 158.116 | 17.0285 | 1862.01 | 0.3 | 123.776 | 18.5665 | 2076.28 | 107.095 | 20.5958 | 1456.08 | 0.4 | 87.7171 | 21.7564 | 1705.32 | 76.744 | 23.7273 | 1233.15 | 0.5 | 65.084 | 24.5783 | 1492.99 | 57.4997 | 26.4847 | 1106.02 | 0.6 | 50.1989 | 27.0667 | 1368.85 | 44.5736 | 28.9432 | 1032.24 | 0.7 | 39.9021 | 29.2867 | 1295.45 | 40.3191 | 29.9172 | 984.487 | 0.8 | 36.1029 | 30.2592 | 1248.3 | 37.1679 | 30.7094 | 947.275 |
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