## 5 Numerical Examples
### An Example of a Large-Sized Experiment
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline  & \multicolumn{2}{c}{**FCFS**} & \multicolumn{3}{c}{**SFLA**} & \multicolumn{3}{c}{**ISFLA**} \\ \hline
**N** & **Z** & **T** & **Gap (\%)** & **Z** & **T** & **Gap (\%)** & **Z** & **T** \\ \hline
10 & & & & & & & & \\
1 & 91.5 & 1.2 & 49.4 & 61.3 & 232.3 & 0.0 & 61.3 & 277.8 \\
2 & 378.0 & 1.1 & 12.3 & 336.7 & 235.3 & 0.0 & 336.7 & 258.4 \\
3 & 62.6 & 1.0 & 19.8 & 58.3 & 253.1 & 11.5 & 52.3 & 263.4 \\
4 & 300.7 & 1.2 & 0.0 & 300.7 & 237.6 & 0.0 & 300.7 & 229.7 \\
5 & 196.1 & 1.1 & 70.4 & 136.3 & 244.7 & 18.5 & 115.1 & 288.7 \\
6 & 111.4 & 1.1 & 21.5 & 91.6 & 236.8 & 0.0 & 91.6 & 254.8 \\
7 & 45.7 & 1.1 & 43.6 & 31.8 & 242.2 & 0.0 & 31.8 & 242.3 \\
8 & 44.7 & 1.1 & 0.0 & 46.4 & 225.6 & 3.8 & 44.7 & 252.7 \\
9 & 115.2 & 0.9 & 18.1 & 104.6 & 238.2 & 7.2 & 97.6 & 255.0 \\
10 & 178.4 & 1.1 & 26.0 & 159.3 & 214.3 & 12.6 & 141.5 & 239.3 \\ Avg. & 152.4 & 1.1 & 19.7 & 132.7 & 236.0 & 4.2 & 127.3 & 256.2 \\ \hline
20 & & & & & & & & \\
1 & 15,420.1 & 1.3 & 44.3 & 11,857.1 & 477.7 & 11.0 & 10,682.7 & 532.3 \\
2 & 6534.0 & 1.4 & 11.9 & 6358.1 & 473.2 & 8.9 & 5837.8 & 589.0 \\
3 & 20,298.3 & 1.3 & 45.7 & 14,688.2 & 476.4 & 5.4 & 13,931.4 & 555.0 \\
4 & 190.3 & 1.3 & 15.6 & 186.4 & 489.3 & 13.2 & 164.6 & 634.1 \\
5 & 13,228.6 & 1.2 & 54.1 & 9162.4 & 493.2 & 6.7 & 8584.6 & 505.2 \\
6 & 24,208.8 & 1.3 & 12.4 & 23,830.8 & 483.1 & 10.6 & 21,539.5 & 531.1 \\
7 & 12,199.4 & 1.3 & 73.4 & 8023.5 & 486.1 & 14.0 & 7036.7 & 503.3 \\
8 & 1184.4 & 1.4 & 23.0 & 1072.2 & 477.3 & 11.4 & 962.7 & 504.0 \\
9 & 2617.2 & 1.3 & (9.1) & 3521.1 & 492.2 & 22.3 & 2878.1 & 519.0 \\
10 & 16,312.8 & 1.5 & 60.7 & 11,826.3 & 472.2 & 16.5 & 10,148.6 & 534.8 \\ Avg. & 11,219.4 & 1.3 & 37.2 & 9052.6 & 482.1 & 10.7 & 8176.7 & 540.8 \\ \hline
30 & & & & & & & & \\
1 & 205,881.1 & 1.7 & 38.9 & 172,451.7 & 636.3 & 16.3 & 148,249.0 & 707.1 \\
2 & 314,277.2 & 1.7 & 7.1 & 316,217.2 & 604.3 & 7.8 & 293,372.9 & 774.5 \\
3 & 217,210.3 & 1.4 & 24.4 & 200,271.8 & 625.3 & 14.7 & 174,589.9 & 763.5 \\
4 & 73,850.2 & 1.8 & 12.8 & 66,985.2 & 614.1 & 2.3 & 65,480.4 & 769.0 \\
5 & 208,806.1 & 1.7 & 54.6 & 156,281.1 & 595.2 & 15.7 & 135,101.2 & 790.8 \\
6 & 267,383.0 & 1.5 & 23.1 & 227,438.4 & 593.9 & 4.7 & 217,219.7 & 734.8 \\
7 & 66,336.9 & 1.6 & 58.2 & 45,473.9 & 624.2 & 8.5 & 41,919.3 & 727.2 \\
8 & 63,760.8 & 1.5 & 50.6 & 48,353.4 & 640.2 & 14.2 & 42,330.5 & 921.0 \\
9 & 426,888.0 & 1.6 & 27.7 & 410,358.4 & 619.4 & 22.8 & 334,170.2 & 903.2 \\
10 & 203,769.2 & 1.5 & 89.1 & 117,136.1 & 644.1 & 8.7 & 107,743.6 & 730.7 \\ Avg. & 204,816.3 & 1.6 & 31.3 & 176,096.7 & 619.7 & 12.9 & 156,017.7 & 782.2 \\ \hline
40 & & & & & & & \\
1 & 546,703.7 & 1.7 & 38.0 & 462,767.2 & 1859.2 & 16.8 & 396,146.0 & 2400.5 \\
2 & 175,292.0 & 1.7 & 1.3 & 199,519.4 & 1974.2 & 15.3 & 173,015.2 & 2451.3 \\
3 & 705,100.7 & 1.7 & 19.4 & 672,451.2 & 1833.9 & 13.8 & 590,775.2 & 2527.8 \\
4 & 357,388.6 & 1.7 & 30.1 & 305,318.6 & 1968.2 & 11.1 & 274,705.5 & 2537.7 \\
5 & 706,807.6 & 1.7 & 2.8 & 716,680.6 & 1992.7 & 4.2 & 687,587.7 & 2430.5 \\
6 & 1,562,685.5 & 1.8 & 50.0 & 1,132,683.5 & 1934.2 & 8.7 & 1,041,642.0 & 2801.5 \\
7 & 667,840.4 & 1.7 & 36.2 & 528,633.0 & 1917.2 & 7.8 & 490,389.6 & 2566.2 \\
8 & 1,371,378.0 & 1.7 & 44.8 & 1,167,187.2 & 1906.5 & 23.2 & 947,068.4 & 2729.9 \\
9 & 1,060,564.8 & 1.8 & 33.0 & 926,136.3 & 1939.1 & 16.2 & 797,123.9 & 2618.1 \\
10 & 755,054.9 & 1.7 & 64.1 & 643,065.9 & 1989.3 & 39.8 & 460,135.2 & 2715.9 \\ Avg. & 790,881.6 & 1.7 & 35.0 & 675,444.3 & 1931.5 & 15.3 & 585,858.9 & 2578.0 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: The results obtained from different approaches at different problem sizes.