## 4 Case Study
### Case Information
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Job**} & **Evaluation** & \multirow{2}{*}{**Job**} & **Evaluation** & \multirow{2}{*}{**Job**} & **Evaluation** & \multirow{2}{*}{**Job**} & **Evaluation** & \multirow{2}{*}{**Job**} & **Evaluation** \\  & **Value** & & **Value** & & **Value** & & **Value** & & **Value** \\ \hline
1 & 0.17936 & 11 & 0.16418 & 21 & 0.05073 & 31 & 0.22105 & 41 & 0.21493 \\
2 & 0.10192 & 12 & 0.21157 & 22 & 0.09203 & 32 & 0.26238 & 42 & 0.11541 \\
3 & 0.11950 & 13 & 0.11247 & 23 & 0.20843 & 33 & 0.20488 & 43 & 0.09867 \\
4 & 0.16417 & 14 & 0.20605 & 24 & 0.10222 & 34 & 0.21949 & 44 & 0.16750 \\
5 & 0.09918 & 15 & 0.08890 & 25 & 0.09201 & 35 & 0.12193 & 45 & 0.23186 \\
6 & 0.11348 & 16 & 0.11514 & 26 & 0.20135 & 36 & 0.14264 & 46 & 0.05992 \\
7 & 0.14171 & 17 & 0.27778 & 27 & 0.17924 & 37 & 0.32119 & 47 & 0.08991 \\
8 & 0.21129 & 18 & 0.24278 & 28 & 0.22081 & 38 & 0.25532 & 48 & 0.21254 \\
9 & 0.13527 & 19 & 0.27888 & 29 & 0.13795 & 39 & 0.25957 & 49 & 0.20469 \\
10 & 0.18522 & 20 & 0.04401 & 30 & 0.11712 & 40 & 0.25966 & & \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Job complexity composite value. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multicolumn{1}{c}{**Serial Number**} & **Category** & **Numerical Value** \\ \hline
1 & Profit per unit product & 405 yuan \\
2 & Unit hour output & 500 ton \\
3 & Scrap profit & \(-2370\) yuan \\
4 & Calendar time & 8760 h \\
5 & Scheduled downtime & 588 h \\
6 & The first \(i\) job assessment downtime & 0.6 h \\
7 & The \(i\) job unreliable conversion into & 0.02 \\
8 & \(j\) man \(i\) job fixed salary & 3000 yuan \\
9 & Annual total fixed wages & 324,000 yuan \\
10 & Unit time assessment coefficient & 6000 yuan/hour \\
11 & Annual order quantity & 3,000,000 ton \\
12 & Annual total human shutdown ceiling & 70 h \\
13 & Annual maximum number of rejected items & 408,600 ton \\
14 & Total labor cost ceiling & 700,000 yuan \\
15 & \(j\) the length of a person’s downtime in \(i\) job & Table 12  
\end{table} 
Table 11: Production data of the safety operators in an iron and steel enterprise. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multicolumn{1}{c}{**Job**} & **Factor 1** & **Factor 2** & **Factor3** & **Factor 4** & **Factor 5** & **Factor 6** & **Factor 7** \\ \hline
1 & 0 & 0.2 & 0.2 & 0 & 0.2 & 0.2 & 0.2 \\
2 & 0.143 & 0.143 & 0.143 & 0.143 & 0.143 & 0.143 & 0.143 \\
3 & 0.167 & 0.167 & 0.167 & 0.167 & 0 & 0.167 & 0.167 \\
4 & 0.167 & 0.167 & 0.167 & 0.167 & 0 & 0.167 & 0.167 \\
5 & 0.143 & 0.143 & 0.143 & 0.143 & 0.143 & 0.143 & 0.143 \\
6 & 0.167 & 0.167 & 0.167 & 0.167 & 0.167 & 0 & 0.167 \\
7 & 0.2 & 0.2 & 0.2 & 0 & 0 & 0.2 & 0.2 \\
8 & 0.333 & 0 & 0.333 & 0 & 0 & 0.333 & 0 \\
9 & 0.2 & 0 & 0.2 & 0 & 0.2 & 0.2 & 0.2 \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Top 9 job complexity characteristic weights. Due to the space limitations, the downtime matrix of the jth person in the ith position is only partially listed here, as shown in Table 12.  
1 Calculation of the Waste Rate  
By combining the calculation results of job complexity and operators comprehensive competence (taking the percentage system as a calculation unit), the waste rate coefficient matrix of the jth individual in the i-th job is calculated by formula (7). The data are too large. Only parts of the data are listed here, as shown in Table 13.  
2 Analysis results  
The genetic algorithm was programmed by the MATLAB2014a version. The running environment was a 2.0 Ghz, 4 GB memory and the Windows 10 operating system. The optimal iterative evolution diagram of the problem is obtained as shown in Figure 5.  
From Figure 5, we can see that the objective function value of the 170 iterations tends to the optimal solution. The total cost of human factors has been greatly improved and maintained at approximately 221 million yuan. The average fitness of the population is basically the same as the optimal solution of the function value after the 200 th generation.