Table 4.
Rf | Rs | Fixed EM Time (seconds) | Fixed Milstein Time (seconds) | SSA Time (seconds) |
2 | 1 | 0.0222 | 0.0632 | 5.870 |
2 | 100 | 0.5240 | 0.5792 | 54.07 |
2 | 1000 | 45.43 | 45.30 | 694.52 |
10 | 1000 | 44.78 | 44.39 | 3 481 |
100 | 1000 | 47.71 | 48.34 | 34 633 |
1000 | 1000 | 93.76 | 326.54 | > 300 000 |
2 | 10000 | 3 394.1 | 3 970.9 | 12 159 |
100 | 10000 | 4 703.8 | 4 736.1 | > 600 000 |
1000 | 10000 | 5 164.5 | 5 337.9 | ND |
10000 | 10000 | 13 099.0 | 30 601.5 | ND |
The computational times of a large-scale system benchmark using the fixed Euler-Maruyama (EM) and Milstein implementations of the HyJCMSS algorithm and the Next Reaction variant of the stochastic simulation algorithm (SSA). ND: Not Determined