Table 3.
Analyses of 10 runs of the Karun-4 hydropower reservoir. The objective value of objective functions and the average CPU run time for each algorithm were presented in this table for the Karun-4 hydropower reservoir problem. Analysis of datasets in the table showed that MSA was able to produce superior solutions for the Karun-4 hydropower reservoir system.
| Number of runs | MSA |
PSO |
GA |
|||
|---|---|---|---|---|---|---|
| Optimal value | CPU time (s) | Optimal value | CPU time (s) | Optimal value | CPU time (s) | |
| 1 | 0.1559 | 21.82 | 0.1584 | 28.99 | 1.6918 | 48.71 |
| 2 | 0.1473 | 20.12 | 1.0708 | 30.35 | 1.4352 | 47.79 |
| 3 | 0.1470 | 21.46 | 0.2499 | 28.88 | 1.9616 | 40.88 |
| 4 | 0.1486 | 22.53 | 0.5463 | 28.93 | 1.4702 | 37.16 |
| 5 | 0.1508 | 21.58 | 0.2756 | 29.03 | 0.3762 | 48.23 |
| 6 | 0.1472 | 20.66 | 0.1704 | 29.01 | 0.6623 | 47.99 |
| 7 | 0.1506 | 19.7 | 0.2570 | 29.62 | 1.3717 | 47.93 |
| 8 | 0.1470 | 21.24 | 0.1591 | 29.6 | 0.9225 | 48.09 |
| 9 | 0.1473 | 20.42 | 0.732 | 29.17 | 0.5495 | 47.14 |
| 10 | 0.1471 | 21.76 | 0.1823 | 28.93 | 0.3026 | 47.62 |
| Best | 0.1470 | 0.1584 | 0.3026 | |||
| Worst | 0.1559 | 1.0708 | 1.9616 | |||
| Average | 0.1489 | 0.3802 | 1.0744 | |||
| SD | 0.0029 | 0.3078 | 0.5864 | |||
| Coefficient of variation | 0.0192 | 0.8096 | 0.5458 | |||
| Best CPU time (s) | 19.7 | 28.88 | 37.16 | |||