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Variable Cost considering the sum of all events of activity instances

\mathit{VC}\mathit{^{sum}}(i)

Dimension:

Cost

Granularity:

Activity instance

Description

Variable cost associated with an activity instance, measured as the sum of all values among the events of the activity instance.

Potential use

Event log in which variable cost information is recorded.

Assumptions

Minimizing variable cost is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
type
vc

Equations

Formula for practitioners

$\begin{cases} \#^{}_{\mathit{vc}}(\mathit{str}(i)) + & \\ \#^{}_{\mathit{vc}}(\mathit{cpl}(i)) & \mathit{if \ } \#^{}_{\mathit{vc}}(\mathit{cpl}(i)) \neq undefined \land \#^{}_{\mathit{vc}}(\mathit{str}(i)) \neq undefined \\ undefined & \mathit{if \ } \#^{}_{\mathit{vc}}(\mathit{cpl}(i)) = undefined \lor \#^{}_{\mathit{vc}}(\mathit{str}(i)) = undefined \\ \end{cases}$

$\#^{}_{\mathit{vc}}$ returns the variable cost associated with an event.
$\mathit{str}(i)$ returns the start event of activity instance $i$ .
$\mathit{cpl}(i)$ returns the completion event of activity instance $i$ .

Formal Definition

$\begin{cases} \#^{}_{\mathit{vc}}(\mathit{str}(i)) + & \\ \#^{}_{\mathit{vc}}(\mathit{cpl}(i)) & \mathit{if \ } \#^{}_{\mathit{vc}}(\mathit{cpl}(i)) \neq \bot \land \#^{}_{\mathit{vc}}(\mathit{str}(i)) \neq \bot \\ \bot & \mathit{if \ } \#^{}_{\mathit{vc}}(\mathit{cpl}(i)) = \bot \lor \#^{}_{\mathit{vc}}(\mathit{str}(i)) = \bot \\ \end{cases}$

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.instances.variable_cost_for_sum_of_all_events_of_activity_instances

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