LC×(a)\mathit{LC}\mathit{^{\times}}(a)
×{sgl,sum}\mathit{\times} \in \{\mathit{sgl}, \mathit{sum}\}
Dimension:
Cost
Granularity:
Activity

Description

Labor cost associated with all instantiations of the activity in the event log.

Potential use

Event log in which labor cost information is recorded.

Assumptions

Minimizing labor cost is desirable.

Desired Value:

MINIMIZE

Required attributes

act
actinst
lc
type

Equations

Formula for practitioners

iinst(a)LC(i)\sum _{i \in \mathit{inst}(a)} \mathit{LC}(i)

inst(a)\mathit{inst}(a) returns the set of all instances of activity aa.
LC(i)\mathit{LC}(i) returns the labor cost of activity instance ii.

Formal Definition

iinst(a)LC×(i)\sum _{i \in \mathit{inst}(a)} \mathit{LC}\mathit{^{\times}}(i)
The ×\mathit{\times} indicates that the PPI can take multiple forms, in this case, ×{sgl,sum}\mathit{\times} \in \{\mathit{sgl}, \mathit{sum}\}. If ×=sgl\mathit{\times} = \mathit{sgl}, then the function considers single events of activity instances for cost calculations, i.e., it uses LCsgl\mathit{LC}\mathit{^{sgl}}; if ×=sum\mathit{\times} = \mathit{sum}, then the function considers the sum of all events of activity instances for cost calculations, i.e., it uses LCsum\mathit{LC}\mathit{^{sum}}.

Tags

act
actinst
lc
type

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.activities.labor_cost