PPI Repository

Expected Total Cost and Client count Ratio

\mathit{e}\mathit{TCCliR}\mathit{^{\times}}(g)

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

Dimension:

Quality

Granularity:

Group of cases

Description

Ratio between the total cost associated with all activity instances of a group of cases, and the number of distinct clients associated with cases in a group of cases.

Potential use

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

Assumptions

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

Desired Value:

MINIMIZE

Required attributes

actinst
case
cli
tc
type

Equations

Formula for practitioners

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

$\mathit{TC}(g)$ returns the total cost of case group $g$ .
$\mathit{Cli}(g)$ returns the number of distinct clients associated with group $g$ .

Formal Definition

$\frac{\mathit{TC}\mathit{^{\times}}(g)}{\mathit{Cli}(g)}$
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.groups.expected_total_cost_and_client_count_ratio

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