Research Article
A Two-Level Metaheuristic Algorithm for the Job-Shop Scheduling Problem
Table 2
Experiment’s results on the set of ft-and-la instances.
| Instance | Opt | PSO [15] | UPLA | Best | %BSVD | Best | %BSVD | Avg. | %ASVD | Avg. No. of Iters | Avg. CPU Time (sec) |
| ft06 | 55 | | 0.00 | | 0.00 | 55 | 0.00 | 1 | 0.3 |
| ft10 | 930 | | 0.00 | | 0.00 | 931 | 0.13 | 92 | 1208 |
| ft20 | 1165 | | 0.00 | | 0.00 | 1172 | 0.62 | 188 | 4114 |
| la01 | 666 | | 0.00 | | 0.00 | 666 | 0.00 | 1 | 1 |
| la02 | 655 | | 0.00 | | 0.00 | 655 | 0.00 | 2 | 2 |
| la03 | 597 | | 0.00 | | 0.00 | 597 | 0.00 | 10 | 13 |
| la04 | 590 | | 0.00 | | 0.00 | 590 | 0.00 | 3 | 4 |
| la05 | 593 | | 0.00 | | 0.00 | 593 | 0.00 | 1 | 1 |
| la06 | 926 | | 0.00 | | 0.00 | 926 | 0.00 | 1 | 4 |
| la07 | 890 | | 0.00 | | 0.00 | 890 | 0.00 | 1 | 5 |
| la08 | 863 | | 0.00 | | 0.00 | 863 | 0.00 | 1 | 5 |
| la09 | 951 | | 0.00 | | 0.00 | 951 | 0.00 | 1 | 4 |
| la10 | 958 | | 0.00 | | 0.00 | 958 | 0.00 | 1 | 4 |
| la11 | 1222 | | 0.00 | | 0.00 | 1222 | 0.00 | 1 | 12 |
| la12 | 1039 | | 0.00 | | 0.00 | 1039 | 0.00 | 1 | 13 |
| la13 | 1150 | | 0.00 | | 0.00 | 1150 | 0.00 | 1 | 12 |
| la14 | 1292 | | 0.00 | | 0.00 | 1292 | 0.00 | 1 | 12 |
| la15 | 1207 | | 0.00 | | 0.00 | 1207 | 0.00 | 1 | 17 |
| la16 | 945 | | 0.00 | | 0.00 | 945 | 0.03 | 124 | 1458 |
| la17 | 784 | | 0.00 | | 0.00 | 784 | 0.00 | 6 | 78 |
| la18 | 848 | | 0.00 | | 0.00 | 848 | 0.00 | 6 | 76 |
| la19 | 842 | | 0.00 | | 0.00 | 843 | 0.17 | 90 | 1130 |
| la20 | 902 | 907 | 0.55 | | 0.00 | 903 | 0.06 | 107 | 1304 |
| la21 | 1046 | | 0.00 | 1052 | 0.57 | 1058 | 1.18 | 200 | 13505 |
| la22 | 927 | 935 | 0.86 | | 0.00 | 935 | 0.85 | 191 | 12840 |
| la23 | 1032 | | 0.00 | | 0.00 | 1032 | 0.00 | 2 | 116 |
| la24 | 935 | 944 | 0.96 | 941 | 0.64 | 943 | 0.83 | 200 | 12922 |
| la25 | 977 | 984 | 0.72 | 982 | 0.51 | 986 | 0.93 | 200 | 12931 |
| la26 | 1218 | | 0.00 | | 0.00 | 1218 | 0.00 | 66 | 13547 |
| la27 | 1235 | 1258 | 1.86 | 1256 | 1.70 | 1266 | 2.51 | 200 | 41364 |
| la28 | 1216 | 1218 | 0.16 | | 0.00 | 1223 | 0.56 | 179 | 36085 |
| la29 | 1152 | 1184 | 2.78 | 1191 | 3.39 | 1199 | 4.04 | 200 | 39881 |
| la30 | 1355 | | 0.00 | | 0.00 | 1355 | 0.00 | 10 | 1895 |
| la31 | 1784 | | 0.00 | | 0.00 | 1784 | 0.00 | 1 | 701 |
| la32 | 1850 | | 0.00 | | 0.00 | 1850 | 0.00 | 1 | 849 |
| la33 | 1719 | | 0.00 | | 0.00 | 1719 | 0.00 | 1 | 725 |
| la34 | 1721 | | 0.00 | | 0.00 | 1721 | 0.00 | 1 | 1255 |
| la35 | 1888 | | 0.00 | | 0.00 | 1888 | 0.00 | 1 | 902 |
| la36 | 1268 | 1278 | 0.79 | 1278 | 0.79 | 1288 | 1.61 | 200 | 48387 |
| la37 | 1397 | 1410 | 0.93 | 1407 | 0.72 | 1415 | 1.32 | 200 | 49836 |
| la38 | 1196 | 1221 | 2.09 | 1215 | 1.59 | 1232 | 3.02 | 200 | 50876 |
| la39 | 1233 | 1251 | 1.46 | 1250 | 1.38 | 1252 | 1.51 | 200 | 50603 |
| la40 | 1222 | 1229 | 0.57 | 1229 | 0.57 | 1242 | 1.61 | 200 | 50609 |
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