Table 7 Average RPDs (%) and running time for small-scale instances.
From: Single machine scheduling problems with sequence-dependent setup times and precedence delays
n | Processing Time | SDST | Delay Time | MILP | LIG | VNS | |||
|---|---|---|---|---|---|---|---|---|---|
RPD | Time | RPD | Time | RPD | Time | ||||
10 | [10, 20] | [5, 10] | [20,40] | 0.000 | 3.76 | 0.000 | 1.002 | 0.597 | 4.56 |
10 | [10, 20] | [5, 10] | [40,60] | 0.000 | 2.96 | 0.000 | 1.010 | 0.052 | 4.45 |
10 | [10, 20] | [10, 15] | [20,40] | 0.000 | 5.51 | 0.000 | 1.009 | 0.238 | 4.44 |
10 | [10, 20] | [10, 15] | [40,60] | 0.000 | 3.12 | 0.000 | 1.009 | 0.574 | 4.53 |
10 | [10, 20] | [5, 10] | [20,40] | 0.000 | 4.83 | 0.000 | 1.009 | 0.196 | 4.47 |
10 | [20, 30] | [5, 10] | [40,60] | 0.000 | 3.73 | 0.000 | 1.009 | 0.663 | 4.42 |
10 | [20, 30] | [10, 15] | [20,40] | 0.000 | 6.91 | 0.000 | 1.009 | 0.000 | 4.48 |
10 | [20, 30] | [10, 15] | [40,60] | 0.000 | 4.35 | 0.000 | 1.007 | 0.433 | 4.49 |
15 | [20, 30] | [5,10] | [20,40] | 1.181 | 3600.02 | 1.079 | 1.509 | 2.801 | 5.44 |
15 | [10, 20] | [5, 10] | [40,60] | 1.141 | 3359.48 | 1.105 | 1.509 | 3.416 | 5.47 |
15 | [10, 20] | [10, 15] | [20,40] | 0.782 | 3600.02 | 0.756 | 1.510 | 1.723 | 5.49 |
15 | [10, 20] | [10, 15] | [40,60] | 0.950 | 3600.02 | 0.894 | 1.510 | 2.288 | 5.44 |
15 | [20, 30] | [5, 10] | [20,40] | 0.618 | 3600.03 | 0.618 | 1.509 | 1.412 | 5.42 |
15 | [20, 30] | [5, 10] | [40,60] | 0.776 | 3600.02 | 0.731 | 1.510 | 1.984 | 5.45 |
15 | [20, 30] | [10, 15] | [20,40] | 0.531 | 3600.02 | 0.512 | 1.509 | 1.256 | 5.41 |
15 | [20, 30] | [10, 15] | [40,60] | 0.611 | 3600.02 | 0.611 | 1.508 | 1.573 | 5.48 |
Total Ave | Â | Â | Â | 0.412 | 1787.18 | 0.394 | 1.259 | 1.200 | 4.96 |