PPI Repository

Total Cost and Lead Time Ratio

\mathit{TCLTR}\mathit{^{\times}}(g)

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

Dimension:

Cost

Granularity:

Group of cases

Description

Ratio between the total cost of a group of cases and the lead time of a group of cases.

Potential use

Event log in which the total cost in relation to the total time taken for conducting the cases of a group of cases is of relevance.

Assumptions

Ratio between total cost and lead time should be as close to 0 as possible.

Desired Value:

MINIMIZE

Required attributes

actinst
case
tc
time
type

Equations

Formula for practitioners

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

$\mathit{TC}(g)$ returns the total cost of case group $g$ .
$\mathit{LT}(g)$ returns the total lead time of case group $g$ .

Formal Definition

$\frac{\mathit{TC}\mathit{^{\times}}(g)}{\mathit{LT}(g)}$
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.cost.groups.total_cost_and_lead_time_ratio

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