Research Article
Design of a Logistics Nonlinear System for a Complex, Multiechelon, Supply Chain Network with Uncertain Demands
Table 8
Structure of the supply chain applying the nonlinear model and the linear model considering a service level of 95%.
| Case #
(Instance size) | Non-Linear Model 4EILP-SS | Linear Model 4EILP-SS-L | | Number of plants selected | Number of warehouses selected | Number of plants selected | Number of warehouses selected |
| | ase 1 (5-3-5-10) | 3 | 4 | 3 | 5 | | ase 2 (5-3-5-10) | 3 | 5 | 3 | 5 | | ase 3 (5-3-5-10) | 2 | 4 | 2 | 4 | | ase 4 (5-3-5-10) | 2 | 3 | 2 | 3 | | ase 5 (5-3-5-10) | 3 | 4 | 3 | 5 | | ase 6 (5-3-5-10) | 3 | 4 | 3 | 5 | | ase 7 (5-3-5-10) | 3 | 4 | 3 | 5 | | ase 8 (5-3-5-10) | 3 | 4 | 3 | 5 | | ase 9 (5-3-5-10) | 2 | 3 | 2 | 4 | | ase 10 (5-3-5-10) | 3 | 4 | 3 | 4 |
| | ase 11( 5-3-5-15) | 3 | 4 | 3 | 4 | | ase 12 (5-3-5-15) | 2 | 4 | 3 | 4 | | ase 13 (5-3-5-15) | 2 | 3 | 2 | 3 | | ase 14 (5-3-5-15) | 2 | 3 | 2 | 3 | | ase 15 (5-3-5-15) | 2 | 4 | 2 | 4 | | ase 16 (5-3-5-15) | 2 | 4 | 2 | 4 | | ase 17 (5-3-5-15) | 3 | 4 | 3 | 4 | | ase 18 (5-3-5-15) | 2 | 3 | 2 | 4 | | ase 19 (5-3-5-15) | No solution found | - | 2 | 3 | | ase 20 (5-3-5-15) | 2 | 3 | 2 | 4 |
| | ase 21 (7-3-5-20) | No solution found | - | 2 | 4 | | ase 22 (7-3-5-20) | 3 | 4 | 3 | 4 | | ase 23 (7-3-5-20) | 2 | 3 | 2 | 3 | | ase 24 (7-3-5-20) | 2 | 3 | 2 | 3 | | ase 25 (7-3-5-20) | No solution found | - | 2 | 4 | | ase 26 (7-3-5-20) | 2 | 4 | 2 | 4 | | ase 27 (7-3-5-20) | 3 | 4 | 3 | 4 | | ase 28 (7-3-5-20) | 2 | 3 | 2 | 4 | | ase 29 (7-3-5-20) | No solution found | - | 2 | 3 | | ase 30 (7-3-5-20) | No solution found | - | 2 | 3 |
| | ase 31 (10-3-5-20) | 2 | 3 | 2 | 4 | | ase 32 (10-3-5-20) | 3 | 4 | 3 | 4 | | ase 33 (10-3-5-20) | 2 | 3 | 2 | 3 | | ase 34 (10-3-5-20) | No solution found | - | 2 | 3 | | ase 35 (10-3-5-20) | No solution found | - | 2 | 3 | | ase 36 (10-3-5-20) | 2 | 3 | 2 | 4 | | ase 37 (10-3-5-20) | 3 | 4 | 3 | 4 | | ase 38 (10-3-5-20) | No solution found | - | 2 | 4 | | ase 39 (10-3-5-20) | No solution found | - | 2 | 3 | | ase 40 (10-3-5-20) | No solution found | - | 2 | 3 |
| | ase 41 (10-3-5-25) | 2 | 3 | 2 | 4 | | ase 42 (10-3-5-25) | No solution found | - | 3 | 4 | | ase 43 (10-3-5-25) | 2 | 3 | 2 | 4 | | ase 44 (10-3-5-25) | 2 | 3 | 2 | 4 | | ase 45 (10-3-5-25) | 2 | 3 | 2 | 4 | | ase 46 (10-3-5-25) | 2 | 4 | 3 | 4 | | ase 47 (10-3-5-25) | No solution found | - | 3 | 4 | | ase 48 (10-3-5-25) | No solution found | - | 2 | 3 | | ase 49 (10-3-5-25) | No solution found | - | 2 | 4 | | ase 50 (10-3-5-25) | 2 | 3 | 2 | 4 |
|
|
