PPI Repository

Inventory Cost

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

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

Dimension:

Cost

Granularity:

Case

Description

Inventory cost associated with all activity instances of a case.

Potential use

Event log in which inventory cost information is recorded.

Assumptions

Minimizing inventory cost is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
case
ic
type

Equations

Formula for practitioners

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

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

Formal Definition

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

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.cases.inventory_cost

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