PPI Repository

Labor Cost and Total Cost Ratio

\mathit{LCTCR}\mathit{^{\times}}(i)

\mathit{\times} \in \{\mathit{sgl}, \mathit{sum}\}

Dimension:

Cost

Granularity:

Activity instance

Description

Ratio between the labor cost associated with an activity instance and the total cost associated with an activity instance.

Potential use

Event log in which both labor and total cost information are recorded.

Assumptions

Minimizing the cost associated with human resources is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
lc
tc
type

Equations

Formula for practitioners

$\frac{\mathit{LC}(i)}{\mathit{TC}(i)}$

$\mathit{LC}(i)$ returns the labor cost of activity instance $i$ .
$\mathit{TC}(i)$ returns the total cost of activity instance $i$ .

Formal Definition

$\frac{\mathit{LC}\mathit{^{\times}}(i)}{\mathit{TC}\mathit{^{\times}}(i)}$
The $\mathit{\times}$ indicates that the PPI can take multiple forms, in this case, $\mathit{\times} \in \{\mathit{sgl}, \mathit{sum}\}$ . If $\mathit{\times} = \mathit{sgl}$ , then the function considers single events of activity instances for cost calculations, i.e., it uses $\mathit{LC}\mathit{^{sgl}}$ and $\mathit{TC}\mathit{^{sgl}}$ ; if $\mathit{\times} = \mathit{sum}$ , then the function considers the sum of all events of activity instances for cost calculations, i.e., it uses $\mathit{LC}\mathit{^{sum}}$ and $\mathit{TC}\mathit{^{sum}}$ .

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.instances.labor_cost_and_total_cost_ratio

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