PPI Repository

Total Cost and outcome Unit Ratio

\mathit{TCUR}\mathit{^{\times}}(i)

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

Dimension:

Cost

Granularity:

Activity instance

Description

Ratio between the total cost associated with an activity instance and the outcome units associated with an activity instance.

Potential use

Event log in which the total cost in relation to the outcome units of activity instances is of relevance.

Assumptions

Ratio between total cost and outcome unit count should be as close to 0 as possible.

Desired Value:

MINIMIZE

Required attributes

actinst
tc
type
unt

Equations

Formula for practitioners

$\frac{\mathit{TC}(i)}{\mathit{U}(i)}$

$\mathit{TC}(i)$ returns the total cost of activity instance $i$ .
$\mathit{U}(i)$ returns the outcome unit count of activity instance $i$ .

Formal Definition

$\frac{\mathit{TC}\mathit{^{\times}}(i)}{\mathit{U}\mathit{^{\times}}(i)}$
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 and outcome unit calculations, i.e., it uses $\mathit{TC}\mathit{^{sgl}}$ and $\mathit{U}\mathit{^{sgl}}$ ; if $\mathit{\times} = \mathit{sum}$ , then the function considers the sum of all events of activity instances for cost and outcome unit calculations, i.e., it uses $\mathit{TC}\mathit{^{sum}}$ and $\mathit{U}\mathit{^{sum}}$ .

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.instances.total_cost_and_outcome_unit_ratio

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