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

Description

Labor cost associated with all activity instances of a case.

Potential use

Event log in which labor cost information is recorded.

Assumptions

Minimizing labor cost is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
case
lc
type

Equations

Formula for practitioners

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

inst(c)\mathit{inst}(c) returns the set of all activity instances in case cc.
LC(i)\mathit{LC}(i) returns the labor cost of activity instance ii.

Formal Definition

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

actinst
case
lc
type

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.cases.labor_cost