PPI Repository

Variable Cost

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

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

Dimension:

Cost

Granularity:

Case

Description

Sum of variable cost of all activity instances of a case.

Potential use

Event log in which variable cost information is recorded.

Assumptions

Minimizing variable cost is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
case
type
vc

Equations

Formula for practitioners

$\sum _{i \in \mathit{inst}(c)} \mathit{VC}(i)$

$\mathit{inst}(c)$ returns the set of all activity instances in case $c$ .
$\mathit{VC}(i)$ returns the variable cost of activity instance $i$ .

Formal Definition

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

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.cases.variable_cost

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