## 4 Experimental Results
### SACT Statistic Review  
The bar plot is used in this paper as a tool to assess the frequency obtained from the solutions in terms of quality, the unit is no dimensional. The \(x\)-axis in the bar plot represents the value of the objective function of JSSP, which is the MS obtained by SACT. Figure 13 shows the bar plots for YN1, YN2, YN3, and YN4 problems. In the four bar plots, SACT presents frequencies whose distribution is skewed to the left with respect to the midpoint. Figure 12: Effect of the _effective-address_ procedure on the convergence of SACT for long times. YN1-20 \(\times\) 20. \(H32\). Figure 13: _Cont._  
The frequency distribution of YN1 and YN3 (Figure 13a,c) is very similar to a normal distribution. The frequency distribution of YN2 (Figure 13b) and YN4 (Figure 13d) is a little skewed to the right with respect to the midpoint (arithmetic mean), this is important because it indicates that most results obtained are to the left of the midpoint value, so the makespan found in most of the tests is of good quality. For YN1, 12 results out of 30 obtained, have a makespan value better or equal to the midpoint and are within the range 889-894. For YN2, 16 results out of 30 obtained, have a makespan value better or equal to the midpoint and are within the range 911-917. For YN3, 14 results out of 30 obtained, have a makespan value better or equal to the midpoint and are within the range 897-903. For YN4, 15 results out of 30 obtained, have a makespan value better or equal to the midpoint and are within the range 897-903. For YN4, 15 results out of 30 obtained, have a makespan value better or equal to the midpoint and are within the range 973-978. There is data concentration near the arithmetic mean for the four benchmarks, YN1 to YN4. The frequency distribution of DMU06, DMU07, DMU08, and DMU10 (Figure 14) is skewed to the right with respect to the midpoint (arithmetic mean). DMU06 (Figure 14a) shows a bimodal frequency distribution, the highest frequency is 8 and is at the midpoint with 3319.2. At the left of the bar plot the frequency is 2 and the quality results is 3276. DMU07 (Figure 14b) and DMU08 (Figure 14c) present a data distribution further from the arithmetic mean, as opposed to DMU06, DMU09 (Figure 14d), and DMU10 (Figure 14e). For DMU07, 12 out of 30 results have a makeupan value better or equal to the midpoint. At the far left of the bar plot the frequency is 6 and the quality results is 3092. At the far right of the bar plot the frequency is 2 and the quality results is 3227. DMU06 and DMU10 have a higher dispersion in the data distribution. For DMU08, 8 results of 30 obtained, have a makespan value better or equal to the midpoint and this value is 3225. At the far left of the bar plot the frequency is 8 and the quality results is 3325. At the far right of the bar plot the frequency is 1 and the quality results is 3390. For DMU09, 8 results out of 30 obtained, have a makespan value better or equal to the midpoint and are within the range 3140-3159. At the far left of the bar plot the frequency is 5 and the quality results is 3140. At the far right of  
The frequency distribution of DMU46 and DMU47 (Figure 15) is skewed to the left with respect to the midpoint (arithmetic mean). For DMU48, the data are concentrated near the arithmetic mean, 26 out of 30. DMU50 has a central frequency distribution, with the exception of a single data that is far from this distribution. For DMU46 (Figure 15a), only 6 results out of 30 obtained, have a makespan value better or equal to the midpoint and are within the range 4143-4163. At the far left of the bar plot the frequency is 2 and the quality results is 4143. At the far right of the bar plot the frequency is 7 and the quality results is 4193. For DMU47 (Figure 15b), only 6 results out of 30 obtained, have a makespan value better or equal to the midpoint and are within the range 4036-4060. At the far left  
Figure 14: SACT bar plots DMU06, DMU07, DMU08, DMU09, DMU10. (**a**) SACT, DMU06 (30 tests). (**b**) SACT, DMU07 (30 tests).