Research Article
An Improved Particle Swarm Optimization for Selective Single Machine Scheduling with Sequence Dependent Setup Costs and Downstream Demands
Table 2
Impacts of different values of
on the performance of the proposed PSO algorithm.
| | | = 2 | = 3 | = 4 | = 5 | = 6 | Gap (%) | CPU (s) | Gap (%) | CPU (s) | Gap (%) | CPU (s) | Gap (%) | CPU (s) | Gap (%) | CPU (s) |
| 3 | 50 | 0.02 | 24 | 0.02 | 17 | 0.00 | 12 | 0.00 | 11 | 0.00 | 11 | 80 | 0.11 | 96 | 0.08 | 80 | 0.06 | 71 | 0.06 | 65 | 0.06 | 70 | 100 | 0.62 | 150 | 0.50 | 150 | 0.46 | 150 | 0.44 | 150 | 0.46 | 150 | 120 | 0.58 | 180 | 0.45 | 180 | 0.41 | 180 | 0.41 | 180 | 0.45 | 180 | 150 | 1.47 | 225 | 1.38 | 225 | 1.34 | 225 | 1.34 | 225 | 1.36 | 225 | 200 | 2.81 | 300 | 2.72 | 300 | 2.69 | 300 | 2.71 | 300 | 2.75 | 300 |
| 5 | 50 | 0.00 | 43 | 0.00 | 26 | 0.00 | 22 | 0.00 | 18 | 0.00 | 19 | 80 | 0.19 | 200 | 0.17 | 200 | 0.17 | 200 | 0.17 | 200 | 0.19 | 200 | 100 | 0.77 | 250 | 0.65 | 250 | 0.62 | 250 | 0.62 | 250 | 0.64 | 250 | 120 | 1.21 | 300 | 1.15 | 300 | 1.15 | 300 | 1.15 | 300 | 1.15 | 300 | 150 | 1.78 | 375 | 1.69 | 375 | 1.66 | 375 | 1.69 | 375 | 1.72 | 375 | 200 | 3.63 | 500 | 3.42 | 500 | 3.34 | 500 | 3.40 | 500 | 3.47 | 500 |
| 7 | 50 | 0.05 | 36 | 0.02 | 29 | 0.02 | 24 | 0.00 | 21 | 0.02 | 23 | 80 | 0.97 | 280 | 0.86 | 280 | 0.86 | 280 | 0.86 | 280 | 0.86 | 280 | 100 | 1.44 | 350 | 1.38 | 350 | 1.34 | 350 | 1.34 | 350 | 1.41 | 350 | 120 | 1.35 | 420 | 1.31 | 420 | 1.31 | 420 | 1.31 | 420 | 1.31 | 420 | 150 | 2.26 | 525 | 2.09 | 525 | 1.97 | 525 | 2.06 | 525 | 2.14 | 525 | 200 | 4.53 | 700 | 4.25 | 700 | 4.18 | 700 | 4.33 | 700 | 4.45 | 700 |
| Average | ā | 1.32 | 275 | 1.23 | 273 | 1.20 | 271 | 1.22 | 271 | 1.25 | 271 |
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