## 5 Numerical Examples
### Model Parameter Definition
\begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Current State (s) Value**} & \multicolumn{4}{c}{**Action**} \\ \cline{2-5}  & \multicolumn{2}{c}{**Do-Nothing**} & \multicolumn{2}{c}{**Inhibitor**} & \multicolumn{2}{c}{**Pigging**} & **Replace** \\ \hline \multirow{2}{*}{0.00–0.15} & 0.15 + 0.85 \(\times\) & 0.13 + 0.7 \(\times\) & 0.15 + 0.85 \(\times\) & \multirow{2}{*}{rand([PERSON](1.19, 0.69)))} & \multirow{2}{*}{rand(Normal(0.05, 0.003))} \\  & (rand([PERSON](1.19, 0.69))) & rand([PERSON](1.19, 0.35)) & & & \\ \hline \multirow{2}{*}{0.15–0.35} & 0.35 + 0.65 \(\times\) & 0.13 + 0.87 \(\times\) & 0.35 + 0.65 \(\times\) & \multirow{2}{*}{rand([PERSON](1.19, 0.69)))} & \multirow{2}{*}{rand(Normal(0.05, 0.003))} \\  & (rand([PERSON](1.19, 0.69))) & (rand([PERSON](1.19, 0.35))) & & & \\ \hline \multirow{2}{*}{0.35–0.6} & 0.6 + 0.4 \(\times\) & 0.6 + 0.4 \(\times\) & \multirow{2}{*}{0.45 + 0.55 \(\times\)} & \multirow{2}{*}{rand([PERSON](1.19, 0.35)))} & \multirow{2}{*}{rand(Normal(0.05, 0.003))} \\  & (rand([PERSON](1.19, 0.69))) & (rand([PERSON](1.19, 0.69))) & & & \\ \hline \multirow{2}{*}{0.6–0.85} & 0.85 + 0.13 \(\times\) & 0.5 + 0.5 \(\times\) & \multirow{2}{*}{rand([PERSON](1.19, 0.35))} & \multirow{2}{*}{rand(Normal(0.05, 0.003))} \\  & (rand([PERSON](1.19, 0.35))) & rand([PERSON](1.19, 0.35)) & & & \\ \hline \multirow{2}{*}{\(>\)0.85} & rand(Normal(0.95, 0)) & rand(Normal(0.95, 0)) & rand(Normal(0.95, 0)) & & \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Succeeding state (\(s^{\prime}\)) probability for CSPOMDP. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Current State (s) Value**} & \multicolumn{2}{c}{**Action**} \\ \cline{2-4}  & \multicolumn{2}{c}{**Do-Nothing**} & \multicolumn{2}{c}{**Inhibitor**} & **Pigging** & **Replace** \\ \hline \multirow{2}{*}{1} & 1 + min (round (10 \(\times\) rand & 1 + min (round (10 \(\times\) rand & 1 + min (round (10 \(\times\) rand & \\ ([PERSON] (1.19, 0.69)))), 4)} & 1 + min (round (10 \(\times\) rand & ([PERSON] (1.19, 0.69))), 4) & \multirow{2}{*}{rand(SparseCat([1], [1.0]))} \\ \hline \multirow{2}{*}{2} & 2 + min (round (10 \(\times\) rand & 1 + min (round (10 \(\times\) rand & 2 + min (round (10 \(\times\) rand & \\ ([PERSON] (1.19, 0.69))), 3) & ([PERSON] (1.19, 0.35))), 4)} & \multirow{2}{*}{rand(SparseCat([1], [1.0]))} \\ \hline \multirow{2}{*}{3} & 3 + min (round (10 \(\times\) rand & 3 + min (round (10 \(\times\) rand & 2 + min (round (10 \(\times\) & \\ ([PERSON] (1.19, 0.69))), 2) & ([PERSON] (1.19, 0.69))), 2)} & \multirow{2}{*}{rand([PERSON](1.19, 0.35)), 3)} & \multirow{2}{*}{rand(SparseCat([1], [1.0]))} \\ \hline \multirow{2}{*}{4} & 4 + min (round (10 \(\times\) rand & 4 + min (round (10 \(\times\) rand & 3 + min (round (10 \(\times\) & \\ ([PERSON] (1.19, 0.69))), 1) & ([PERSON] (1.19, 0.69))), 1)} & \multirow{2}{*}{rand(SparseCat([1.19, 0.35)), 2)} & \multirow{2}{*}{rand(SparseCat([1], [1.0]))} \\ \hline \multirow{2}{*}{5} & rand(SparseCat([5], [1.0])) & rand(SparseCat([5], [1.0])) & rand(SparseCat([5], [1.0])) & rand(SparseCat([1], [1.0])) \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Succeeding state (\(s^{\prime}\)) probability for DSPOMDP.