## 5 Case Study
### Case Calculation and Analysis
Consequently, maintenance strategies for the cooler should emphasize prevention and inspection protocols during the later stages of operation. \begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{\begin{tabular}{c} **Defective** \\ **System** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Defective** \\ **Components** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Total** \\ **Number of** \\ **Defets W** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Severity** \\ **J** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **First Failure** \\ **Time (days)** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Number of** \\ **Defects w** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Deleted** \\ **Time (days)** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Acceptable** \\ **Time (days)** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Acceptable** \\ **Failure Rate** \\ \(\lambda_{A}^{\ast}\) \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Actual Failure** \\ **Rate \(\lambda\)** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Actual Failure** \\ **Rate \(\lambda\)** \\ \end{tabular} } \\ \hline \multirow{7}{*}{\
\begin{tabular}{c} Cooling \\ system (strong \\ oil circulation) \\ \end{tabular} } & \multirow{2}{*}{
\begin{tabular}{c} Fan \\ \end{tabular} } & \multirow{2}{*}{711} & serious & 257 & 275 & 0.3867/9 & 0.0225 & 0.00075 & 0.004219 & 941.29 & 100,000 \\ \cline{3-11}  & & & commonly & 292 & 436 & 0.613221 & 0.1725 & 0.00575 & 0.003425 & 20.32 & 50,000 \\ \cline{3-11}  & \multirow{2}{*}{Control box} & \multirow{2}{*}{243} & serious & 2653 & 20 & 0.082305 & 0.2750 & 0.000917 & 0.000377 & 1877.22 & 100,000 \\ \cline{3-11}  & & & commonly & 347 & 223 & 0.917695 & 0.2975 & 0.005333 & 0.002882 & 455.47 & 50,000 \\ \cline{3-11}  & \multirow{2}{*}{cooler} & \multirow{2}{*}{183} & critical & 3063 & 1 & 0.005464 & 0.0125 & 0.000417 & 0.000326 & 3765.15 & 100,000 \\ \cline{3-11}  & & & serious & 653 & 54 & 0.295082 & 0.025 & 0.000833 & 0.001531 & 3765.15 & 50,000 \\ \cline{3-11}  & & & commonly & 86 & 128 & 0.699454 & 0.25 & 0.008330 & 0.011628 & 3765.15 & 30,000 \\ \cline{3-11}  & & & critical & 3918 & 6 & 0.021583 & 0.0075 & 0.00025 & 0.000255 & 100,000 & 200,000 \\ \cline{3-11}  & & & serious & 822 & 22 & 0.079137 & 0.0425 & 0.001417 & 0.00127 & 638.38 & 100,000 \\ \cline{3-11}  & & & commonly & 278 & 252 & 0.906475 & 0.08 & 0.002667 & 0.003597 & 13.7 & 50,000 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Probability of component failures and maintenance costs during the original maintenance interval of a strong oil circulation cooling system. These findings underscore the importance of a nuanced, component-specific approach to maintenance cycle planning. While the similarity in distribution patterns for most components allows for some degree of standardization in maintenance schedules, the unique behavior of components like the cooler necessitates tailored strategies. By incorporating these insights into maintenance planning, it becomes possible to optimize resource allocation, enhance system reliability, and potentially extend the operational lifespan of the cooling system as a whole.