# Commercial Loss Model

## Class Name

• RCommercialLossModel

## Location in Objects Pane

• Models > Model > Infrastructure > Commercial > Commercial Loss

## Model Description

### Model Form

\begin{align} & {{R}_{abs}}=\left\{ \begin{matrix} {{R}_{N}}\cdot \left( 1-{{d}_{\text{pwr}}}\cdot \left( 1-P \right) \right)\cdot \left( 1-{{d}_{\text{wtr}}}\cdot \left( 1-W \right) \right)\text{ } & ; & {{\eta }_{S}}=0 & {} & {} \\ \left\{ \begin{matrix} {{R}_{N}}\cdot r\cdot \left( 1-{{d}_{\text{bldg}}} \right) & ; & \text{before restoraion} \\ {{R}_{N}}\cdot r & ; & \text{before repair} \\ {{R}_{N}}\cdot \left( 1-{{d}_{\text{pwr}}}\cdot \left( 1-P \right) \right)\cdot \left( 1-{{d}_{\text{wtr}}}\cdot \left( 1-W \right) \right) & ; & \text{after repair} \\ \end{matrix} \right. & ; & {{\eta }_{S}}>0 & {} & {} \\ \end{matrix} \right. \\ & \\ \end{align} $$l=\left( {{R}_{N}}-{{R}_{abs}} \right)\cdot t$$ Important Notes:
• The "potential revenue" response is the same as "absolute revenue" response with the difference that it is ascending during the recovery period.
• If it is desired that the revenue of the commercial unit will be ascending during the recovery period, the "potential revenue" response must be used.
• To use this model in analyzers other than Discrete Event Sampling Anlyzer, the "loss" response and "absolute revenue" response must be used.

• No

## Properties

### Object Name

• Name of the object in Rt
• Allowable characters are upper-case and lower-case letters, numbers, and underscore (“_”).
• The name is unique and case-sensitive.

### Display Output

• Determines whether the model is allowed to print messages to the Output Pane.

### Commercial Information Model

• The associate commercial information model

### Normal Daily Revenue

• $${R_N}$$ = The daily revenue of the commercial unit in normal condition

### Structural Damage Ratio

• $${\eta _S}$$ = Structural Damage Ratio

### Building Repair Status

• $${\varsigma_{rep}}$$ = Status of Repair operation (1 if completed, 0 otherwise)

### Building Dependency

• $${d_{bldg}}$$ = The dependency of the commercial unit on the serviceability of its building

### Building Restoration Status

• $${\varsigma_{rst}}$$ = Status of Restoration (1 if completed, 0 otherwise)

### Recapture Factor

• $${r}$$ = recapture factor accounts for the fact that the business-related losses from earthquakes can be recouped to some extent by working overtime after the event (FEMA NIBS 2012)

### Power Serviceability

• $${P}$$ = The serviceability status of the upstream electricity provider

### Power Dependency

• $${d_{pwr}}$$ = The dependency of the commercial unit on power

### Water Serviceability

• $${W}$$ = The serviceability status of the upstream water provider

### Water Dependency

• $${d_{wtr}}$$ = The dependency of the commercial unit on Water

### Time Parameter

• $${t}$$ = Time object

## Output

• $${l}$$ = The income loss of the commercial unit
• The output is an automatically generated generic response object, which takes the object name of the model plus “LossResponse”.
• $${R_{abs}}$$ = The absolute revenue of the commercial unit
• The output is an automatically generated generic response object, which takes the object name of the model plus “AbsoluteRevenueResponse”.
Note: The absolute revenue demonstrates the current revenue of the commercial unit based on its current condition.
• $${R}$$ = The potential revenue of the commercial unit
• The output is an automatically generated generic response object, which takes the object name of the model plus “PotentialRevenueResponse”.
Note: The potential revenue features the condition that the revenue is ascending during the recovery period.