PPI Repository

Inventory Cost considering the sum of all events of activity instances

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

Dimension:

Cost

Granularity:

Activity instance

Description

Inventory 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 inventory cost information is recorded.

Assumptions

Minimizing inventory cost is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
ic
type

Equations

Formula for practitioners

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

$\#^{}_{\mathit{ic}}$ returns the inventory 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

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

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.instances.inventory_cost_for_sum_of_all_events_of_activity_instances

Open function reference Browse cost indicators