PPI Repository

Automated Activity Cost

\mathit{AutC}\mathit{^{\times}}(c)

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

Dimension:

Cost

Granularity:

Case

Description

Total cost associated with all instantiations of automated activities in a case.

Potential use

Event log that contains automated activities and cost information.

Assumptions

Minimizing total cost is desirable.

Desired Value:

MINIMIZE

Required attributes

act
actinst
case
tc
type

Equations

Formula for practitioners

$\sum _{i \in \mathit{inst}(c), \mathit{act}(i) \in \mathit{Autl}} \mathit{TC}(i)$

$\mathit{inst}(c)$ returns the set of all activity instances in case $c$ .
$\mathit{act}(i)$ returns the activity of activity instance $i$ .
$\mathit{Autl}$ returns the set of automated activities.
$\mathit{TC}(i)$ returns the cost of activity instance $i$ .

Formal Definition

$\sum _{i \in \mathit{inst}(c), \mathit{act}(i) \in \mathit{Autl}} \mathit{TC}\mathit{^{\times}}(i)$
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 $\mathit{TC}\mathit{^{sgl}}$ ; if $\mathit{\times} = \mathit{sum}$ , then the function considers the sum of all events of activity instances for cost calculations, i.e., it uses $\mathit{TC}\mathit{^{sum}}$ .

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.cases.automated_activity_cost

Open function reference Browse cost indicators