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

Description

Total cost of all times that any activity is instantiated again, after its first instantiation, in a case.

Potential use

Event log that contains cost information where measuring rework is of relevance.

Assumptions

Minimizing the cost of rework is desirable.

Desired Value:

MINIMIZE

Required attributes

act
actinst
case
tc
type

Equations

Formula for practitioners

TC(c)aAfitc(c,a)\mathit{TC}(c) - \sum _{a \in A} \mathit{fitc}(c, a)

TC(c)\mathit{TC}(c) returns the total cost of case cc.
fitc\mathit{fitc} returns the cost of the first instance of activity aa in case cc.

Formal Definition

TC(c)aAfitc×(c,a)\mathit{TC}(c) - \sum _{a \in A} \mathit{fitc}\mathit{^{\times}}(c, a)
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 fitcsgl\mathit{fitc}\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 fitcsum\mathit{fitc}\mathit{^{sum}}.

Tags

act
actinst
case
tc
type

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.cases.rework_cost