## 2 Framework for Evaluation of Functional Recovery for
### Step-by-Step Procedure for Resilience Evaluation  
Figure 7 illustrates the procedure for assessing the seismic resilience of buildings. This process integrates the proposed prefabrication-informed functional recovery framework into the FEMA P-58 performance-based assessment methodology. The method consists of four sequential steps, starting from the definition of construction and seismic inputs and culminating in the estimation of resilience-related outcomes. Each step reflects how the damage and construction configurations, particularly the prefabrication ratio and component types, affect building functionality and recovery trajectory. The four steps are described as follows: \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Modilization** & **Performance Group** & **Damage** & **Median Time** & **Dispersions (g)** \\
**Activity** & **Performance Group** & **State** & **Allocation (\(\theta\))** & **Dispersions (g)** \\ \hline Detailed & C & 10\% Component Fail & 1 day & 0.54 \\ inspection & N & 10\% Component Fail & 3 days & 0.54 \\ (D.Insp.) & S & 5\% Component Fail & 5 days & 0.54 \\ \hline \multirow{3}{*}{Engineering drawings} & N & Full Loss & \multirow{3}{*}{2 weeks} & \multirow{3}{*}{0.32} \\  & & + D.Insp. Triggered & & \\ \cline{3-5}  & & Full Loss & & \\ \cline{3-5}  & S & + D.Insp. Triggered & & \\ \hline \multirow{3}{*}{Permitting} & N & Full Loss & \multirow{3}{*}{1 week} & \multirow{3}{*}{0.86} \\  & N & + D.Insp. Triggered & & \\ \cline{3-5}  & S & 5\% Component Fail & & \\ \cline{3-5}  & S & + D.Insp. Triggered & & \\ \hline Contractor mobilization & N & 10\% Component Fail & 1 week & 0.66 \\ \cline{3-5}  & S & 5\% Component Fail & 2 weeks & 0.6 \\ \hline Clean-up & N & 10\% Component Fail & 1 day & 0.54 \\ \cline{3-5}  & S & 5\% Component Fail & 3 days & 0.6 \\ \hline Site preparation & N & Full Loss & 1 week & 0.6 \\ \cline{3-5}  & N & Full Loss & 3 weeks & 0.6 \\ \hline \multirow{3}{*}{Financing} & N & 10\% Component Fail & \multirow{3}{*}{1 week} & \multirow{3}{*}{0.68} \\  & N & \&RCR \textgreater{} 0.2 & \\ \cline{3-5}  & S & Full Loss & & \\ \cline{3-5}  & S & \&RCR \textgreater{} 0.2 & \\ \hline \hline \end{tabular}  
* S = structural component, N = nonstructural component, C = content, RCR = repair cost ratio as percentage of replacement cost.  
\end{table} 
Table 2: Mobilization activities’ median time allocations. **Step 1: Input factors**  
This phase involves the definition of input parameters related to the seismic scenario and building characteristics. In addition to conventional seismic inputs such as earthquake magnitude and site condition, this framework also incorporates construction-specific information, including the prefabrication ratio and the types of prefabricated components. These parameters directly influence the selection of repair strategies and scheduling. **Step 2: Seismic performance assessment**  
Building upon the FEMA P-58 methodology, the framework performs Monte Carlo simulations to generate possible damage states for structural and nonstructural components. This stochastic analysis captures uncertainty in ground motion and structural response. Each realization corresponds to a distinct post-earthquake damage scenario, which serves as the basis for functionality assessment. **Step 3: Resilience evaluation**  
To evaluate building functionality, a component-based function tree is used to determine the operational status of each combined system on every floor. Each system comprises multiple components, whose damage levels reduce the system's functionality. The global functionality of the building is computed by aggregating the performance of all systems, taking into account their logical dependencies and roles in overall occupancy and operation. In this framework, the construction configuration, particularly the prefabrication ratio and the types of prefabricated components, is also incorporated at this stage.