PPI Repository

Total Cost and Client count Ratio

\mathit{TCCliR}\mathit{^{\times}}(a)

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

Dimension:

Quality

Granularity:

Activity

Description

Ratio between the total cost associated with all instantiations of an activity in the event log, and the number of distinct clients associated with cases where an activity is instantiated in the event log.

Potential use

Process is executed for different clients, where the event log contains cost information.

Assumptions

It is desirable to execute the specific activity for as many clients at the least cost.

Desired Value:

MINIMIZE

Required attributes

act
actinst
case
cli
tc
type

Equations

Formula for practitioners

$\frac{\mathit{TC}(a)}{\mathit{Cli}(a)}$

$\mathit{TC}(a)$ returns the total cost of activity $a$ .
$\mathit{Cli}(a)$ returns the number of distinct clients involved in activity $a$ .

Formal Definition

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

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.quality.activities.total_cost_and_client_count_ratio

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