PPI Repository

Fixed Cost

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

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

Dimension:

Cost

Granularity:

Group of cases

Description

Sum of fixed cost of all activity instances of a group of cases.

Potential use

Event log in which fixed cost information is recorded.

Assumptions

Minimizing fixed cost is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
case
fc
type

Equations

Formula for practitioners

$\sum _{c \in g} \mathit{FC}(c)$

$\mathit{FC}(c)$ returns the fixed cost for case $c$ .

Formal Definition

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

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.groups.fixed_cost

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