Research Article
An Integrated Production-Distribution Planning Problem under Demand and Production Capacity Uncertainties: New Formulation and Case Study
Table 8
Performance of stochastic programming solutions considering the uncertainties of replenishment orders and production capacity.
| Pareto solutions | ε (k) | CPU (s) | F2 | RP (monetary unit) | WS (monetary unit) | EVPI (monetary unit) | EVPI/RP (%) | EEV (monetary unit) | VSS (monetary unit) | VSS/RP (%) |
| Solution 1 | 0.72 | 5 | 0.786 | 368661.1 | 343994.1 | 24666.98 | 6.691 | 391913 | 23251.98 | 6.31 | Solution 2 | 0.74 | 3.97 | 0.795 | 369187.1 | 344018.6 | 25168.45 | 6.817 | 391913 | 22725.95 | 6.16 | Solution 3 | 0.77 | 3.78 | 0.803 | 370035.5 | 344072.7 | 25962.76 | 7.016 | 391913 | 21877.56 | 5.91 | Solution 4 | 0.80 | 4.11 | 0.817 | 371061.1 | 344167.5 | 26893.61 | 7.248 | 391913 | 20851.97 | 5.62 | Solution 5 | 0.83 | 4.2 | 0.841 | 372422.1 | 344326.2 | 28095.87 | 7.544 | 393428.6 | 21006.51 | 5.64 | Solution 6 | 0.86 | 3.8 | 0.861 | 374213.1 | 344845.8 | 29367.34 | 7.848 | 396477.7 | 22264.55 | 5.95 | Solution 7 | 0.89 | 9.16 | 0.890 | 376507.8 | 346177.6 | 30330.18 | 8.056 | 399137.2 | 22629.45 | 6.01 | Solution 8 | 0.91 | 10.38 | 0.910 | 378317.7 | 347706.2 | 30611.49 | 8.091 | 400986.6 | 22668.95 | 5.99 | Solution 9 | 0.94 | 4.09 | 0.940 | 381852.8 | 350953.5 | 30899.3 | 8.092 | 405442.2 | 23589.34 | 6.18 | Solution 10 | 0.97 | 4.99 | 0.970 | 387226.8 | 356685.5 | 30541.21 | 7.887 | 413829.9 | 26603.14 | 6.87 | Solution 11 | 1.00 | 3.47 | 1.000 | 394931.5 | 364070.1 | 30861.44 | 7.814 | 430913.8 | 35982.28 | 9.11 |
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