## 6 Conclusions
In this paper, faults are assumed to be removed immediately when a software failure has been detected, and the correction process is  
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Model**} & \multicolumn{2}{c}{**Time**} & \multirow{2}{*}{**10**} & \multirow{2}{*}{**11**} & \multirow{2}{*}{**12**} & \multirow{2}{*}{**13**} & \multirow{2}{*}{**14**} & \multirow{2}{*}{**15**} & \multirow{2}{*}{**16**} & \multirow{2}{*}{**17**} \\  & \multicolumn{1}{c}{**Index**} & & & & & & & & & \\ \hline \multirow{4}{*}{GOM} & LCL & 82.045 & 86.033 & 89.514 & 92.552 & 95.201 & 97.512 & 99.527 & 101.284 \\  & \(\hat{\rm m}(t)\) & 101.823 & 106.235 & 110.078 & 113.426 & 116.342 & 118.882 & 121.095 & 123.023 \\  & UCL & 121.600 & 126.436 & 130.641 & 134.300 & 137.483 & 140.253 & 142.663 & 144.762 \\ \hline \multirow{4}{*}{DSM} & LCL & 88.083 & 91.672 & 94.431 & 96.534 & 98.127 & 99.326 & 100.225 & 100.895 \\  & \(\hat{\rm m}(t)\) & 108.498 & 112.457 & 115.494 & 117.807 & 119.557 & 120.874 & 121.861 & 122.596 \\  & UCL & 128.914 & 133.241 & 136.557 & 139.080 & 140.988 & 142.423 & 143.497 & 144.298 \\ \hline \multirow{4}{*}{ISM} & LCL & 82.043 & 86.031 & 89.512 & 92.550 & 95.200 & 97.511 & 99.526 & 101.283 \\  & \(\hat{\rm m}(t)\) & 101.820 & 106.232 & 110.076 & 113.424 & 116.340 & 118.881 & 121.094 & 123.022 \\  & UCL & 121.597 & 126.434 & 130.639 & 134.298 & 137.481 & 140.251 & 142.662 & 144.761 \\ \hline \multirow{4}{*}{YIDM} & LCL & 78.512 & 81.588 & 84.485 & 87.257 & 89.939 & 92.558 & 95.133 & 97.678 \\  & \(\hat{\rm m}(t)\) & 97.905 & 101.316 & 104.523 & 107.586 & 110.546 & 113.433 & 116.267 & 119.064 \\  & UCL & 117.298 & 121.044 & 124.561 & 127.916 & 131.153 & 134.307 & 137.401 & 140.451 \\ \hline \multirow{4}{*}{PNZM} & LCL & 78.562 & 81.642 & 84.540 & 87.310 & 89.897 & 92.600 & 95.168 & 97.703 \\  & \(\hat{\rm m}(t)\) & 97.960 & 101.376 & 104.584 & 107.645 & 110.600 & 113.479 & 116.305 & 119.092 \\  & UCL & 117.359 & 121.110 & 124.628 & 127.980 & 131.212 & 134.358 & 137.442 & 140.481 \\ \hline \multirow{4}{*}{PZM} & LCL & 82.045 & 86.033 & 89.514 & 92.552 & 95.201 & 97.512 & 99.527 & 101.284 \\  & \(\hat{\rm m}(t)\) & 101.823 & 106.235 & 110.078 & 113.426 & 116.342 & 118.882 & 121.095 & 123.023 \\  & UCL & 121.600 & 126.436 & 130.641 & 134.300 & 137.483 & 140.253 & 142.663 & 144.762 \\ \hline \multirow{4}{*}{DPM} & LCL & 66.855 & 69.346 & 72.087 & 75.081 & 78.331 & 81.838 & 85.606 & 89.636 \\  & \(\hat{\rm m}(t)\) & 84.916 & 87.701 & 90.759 & 94.093 & 97.704 & 101.593 & 105.762 & 110.212 \\  & UCL & 102.977 & 106.055 & 109.432 & 113.105 & 117.078 & 121.348 & 125.918 & 130.788 \\ \hline \multirow{4}{*}{TCM} & LCL & 78.453 & 82.050 & 85.387 & 88.500 & 91.416 & 94.157 & 96.744 & 99.191 \\  & \(\hat{\rm m}(t)\) & 97.840 & 101.828 & 105.521 & 108.959 & 112.714 & 115.193 & 118.088 & 120.726 \\  & UCL & 117.227 & 121.606 & 125.654 & 129.418 & 132.933 & 136.229 & 139.332 & 142.261 \\ \hline \multirow{4}{*}{3 PFDM} & LCL & 80.863 & 84.475 & 87.718 & 90.647 & 93.030 & 95.724 & 97.940 & 99.974 \\  & \(\hat{\rm m}(t)\) & 100.512 & 104.512 & 108.096 & 111.326 & 114.253 & 116.917 & 119.352 & 121.586 \\  & UCL & 120.162 & 124.549 & 128.473 & 132.006 & 135.203 & 138.110 & 140.764 & 143.198 \\ \hline \multirow{4}{*}{New} & LCL & 78.423 & 82.051 & 85.417 & 88.555 & 91.491 & 94.248 & 96.844 & 99.296 \\  & \(\hat{\rm m}(t)\) & 97.306 & 101.829 & 105.554 & 109.019 & 112.257 & 115.293 & 118.148 & 120.841 \\  & UCL & 117.189 & 121.607 & 125.690 & 129.484 & 133.024 & 136.338 & 139.452 & 142.387 \\ \hline \multirow{4}{*}{**Model**} & \multicolumn{2}{c}{**Time**} & \multirow{2}{*}{**18**} & \multirow{2}{*}{**19**} & \multirow{2}{*}{**20**} & \multirow{2}{*}{**21**} & \multirow{2}{*}{**22**} & \multirow{2}{*}{**23**} & \multirow{2}{*}{**24**} & \multirow{2}{*}{**25**} \\  & \multicolumn{1}{c}{**Index**} & & & & & & & \\ \hline \multirow{4}{*}{GOM} & LCL & 102.8153 & 104.15 & 105.3133 & 106.3271 & 107.2106 & 107.9804 & 108.6512 & 109.2357 \\  & \(\hat{\rm m}(t)\) & 124.7022 & 126.165 & 127.4392 & 128.5491 & 129.516 & 130.3582 & 131.0919 & 131.731 \\  & UCL & 146.5892 & 148.1799 & 149.565 & 150.7711 & 151.8214 & 152.736 & 153.5326 & 154.2263 \\ \hline \multirow{4}{*}{DSM} & LCL & 101.