Research Article
A Robust Two-Machine Flow-Shop Scheduling Model with Scenario-Dependent Processing Times
| | | | | CSA_H1 | CSA _H2 | CSA _H3 | CSA _H4 | CSA _H5 | CSA _H6 | CSA _H7 | CSA _H8 | CSA _H9 | CSA _H10 | CSA _H11 | CSA _H12 | FS | AEP | AEP | AEP | AEP | AEP | AEP | AEP | AEP | AEP | AEP | AEP | AEP |
| 8 | 1.0 | 1.0 | 0.2 | 0.004 | 0.000 | 0.000 | 0.003 | 0.002 | 0.002 | 0.002 | 0.000 | 0.002 | 0.008 | 0.002 | 0.005 | 100 | | | 0.6 | 0.001 | 0.002 | 0.000 | 0.000 | 0.001 | 0.002 | 0.001 | 0.002 | 0.001 | 0.002 | 0.002 | 0.001 | 100 | | | 1.0 | 0.001 | 0.000 | 0.001 | 0.001 | 0.000 | 0.000 | 0.002 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 100 | 1.2 | 1.0 | 0.2 | 0.005 | 0.003 | 0.000 | 0.003 | 0.000 | 0.000 | 0.000 | 0.001 | 0.002 | 0.002 | 0.002 | 0.000 | 100 | | | 0.6 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.000 | 0.000 | 0.000 | 0.001 | 0.000 | 0.000 | 100 | | | 1.0 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 100 | 1.0 | 1.2 | 0.2 | 0.005 | 0.000 | 0.006 | 0.005 | 0.005 | 0.000 | 0.003 | 0.000 | 0.002 | 0.003 | 0.000 | 0.002 | 100 | | | 0.6 | 0.000 | 0.001 | 0.001 | 0.002 | 0.001 | 0.001 | 0.001 | 0.000 | 0.001 | 0.002 | 0.000 | 0.000 | 100 | | | 1.0 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.000 | 0.001 | 0.000 | 0.000 | 0.000 | 100 |
| 9 | 1.0 | 1.0 | 0.2 | 0.007 | 0.008 | 0.006 | 0.011 | 0.006 | 0.001 | 0.007 | 0.006 | 0.007 | 0.012 | 0.017 | 0.001 | 100 | | | 0.6 | 0.007 | 0.004 | 0.005 | 0.005 | 0.004 | 0.006 | 0.003 | 0.011 | 0.002 | 0.010 | 0.000 | 0.006 | 100 | | | 1.0 | 0.002 | 0.000 | 0.003 | 0.002 | 0.002 | 0.002 | 0.002 | 0.003 | 0.005 | 0.004 | 0.002 | 0.002 | 100 | 1.2 | 1.0 | 0.2 | 0.002 | 0.005 | 0.002 | 0.002 | 0.006 | 0.001 | 0.006 | 0.011 | 0.006 | 0.001 | 0.010 | 0.006 | 100 | | | 0.6 | 0.002 | 0.000 | 0.000 | 0.002 | 0.001 | 0.001 | 0.001 | 0.001 | 0.002 | 0.002 | 0.000 | 0.002 | 100 | | | 1.0 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 100 | 1.0 | 1.2 | 0.2 | 0.003 | 0.006 | 0.007 | 0.010 | 0.011 | 0.004 | 0.010 | 0.008 | 0.014 | 0.008 | 0.008 | 0.008 | 100 | | | 0.6 | 0.000 | 0.000 | 0.003 | 0.002 | 0.003 | 0.001 | 0.002 | 0.002 | 0.003 | 0.001 | 0.002 | 0.002 | 100 | | | 1.0 | 0.002 | 0.001 | 0.000 | 0.000 | 0.001 | 0.000 | 0.001 | 0.002 | 0.000 | 0.002 | 0.001 | 0.001 | 100 |
| 10 | 1.0 | 1.0 | 0.2 | 0.026 | 0.018 | 0.022 | 0.018 | 0.029 | 0.023 | 0.015 | 0.033 | 0.017 | 0.029 | 0.030 | 0.029 | 100 | | | 0.6 | 0.010 | 0.011 | 0.018 | 0.015 | 0.010 | 0.009 | 0.015 | 0.019 | 0.015 | 0.022 | 0.006 | 0.010 | 100 | | | 1.0 | 0.007 | 0.009 | 0.008 | 0.003 | 0.013 | 0.011 | 0.007 | 0.005 | 0.007 | 0.010 | 0.007 | 0.009 | 100 | 1.2 | 1.0 | 0.2 | 0.012 | 0.008 | 0.021 | 0.010 | 0.015 | 0.011 | 0.016 | 0.022 | 0.009 | 0.014 | 0.008 | 0.013 | 100 | | | 0.6 | 0.003 | 0.002 | 0.001 | 0.004 | 0.001 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.001 | 0.004 | 100 | | | 1.0 | 0.002 | 0.003 | 0.003 | 0.001 | 0.002 | 0.001 | 0.003 | 0.001 | 0.002 | 0.001 | 0.003 | 0.002 | 100 | 1.0 | 1.2 | 0.2 | 0.027 | 0.027 | 0.012 | 0.028 | 0.024 | 0.027 | 0.020 | 0.017 | 0.023 | 0.025 | 0.026 | 0.024 | 100 | | | 0.6 | 0.008 | 0.007 | 0.004 | 0.006 | 0.009 | 0.003 | 0.007 | 0.005 | 0.008 | 0.006 | 0.002 | 0.003 | 100 | | | 1.0 | 0.003 | 0.004 | 0.002 | 0.002 | 0.004 | 0.004 | 0.002 | 0.004 | 0.004 | 0.002 | 0.003 | 0.004 | 100 |
| 12 | 1.0 | 1.0 | 0.2 | 0.082 | 0.093 | 0.065 | 0.069 | 0.068 | 0.063 | 0.099 | 0.083 | 0.059 | 0.083 | 0.081 | 0.090 | 98 | | | 0.6 | 0.049 | 0.037 | 0.029 | 0.032 | 0.032 | 0.041 | 0.035 | 0.048 | 0.034 | 0.041 | 0.040 | 0.047 | 99 | | | 1.0 | 0.020 | 0.014 | 0.024 | 0.020 | 0.020 | 0.017 | 0.031 | 0.017 | 0.022 | 0.019 | 0.021 | 0.024 | 97 | 1.2 | 1.0 | 0.2 | 0.050 | 0.044 | 0.055 | 0.037 | 0.037 | 0.041 | 0.050 | 0.063 | 0.047 | 0.049 | 0.048 | 0.037 | 93 | | | 0.6 | 0.008 | 0.009 | 0.012 | 0.010 | 0.011 | 0.012 | 0.012 | 0.015 | 0.011 | 0.013 | 0.012 | 0.007 | 93 | | | 1.0 | 0.006 | 0.004 | 0.004 | 0.006 | 0.004 | 0.005 | 0.005 | 0.003 | 0.005 | 0.005 | 0.004 | 0.005 | 95 | 1.0 | 1.2 | 0.2 | 0.061 | 0.053 | 0.055 | 0.028 | 0.059 | 0.048 | 0.054 | 0.062 | 0.048 | 0.061 | 0.049 | 0.043 | 100 | | | 0.6 | 0.015 | 0.015 | 0.012 | 0.007 | 0.021 | 0.010 | 0.021 | 0.012 | 0.009 | 0.012 | 0.014 | 0.010 | 98 | | | 1.0 | 0.008 | 0.007 | 0.006 | 0.008 | 0.007 | 0.006 | 0.010 | 0.005 | 0.006 | 0.005 | 0.006 | 0.008 | 100 | | | Mean | 0.012 | 0.011 | 0.011 | 0.010 | 0.011 | 0.010 | 0.012 | 0.013 | 0.011 | 0.013 | 0.011 | 0.011 | 99.25 |
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