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

Description

Total cost associated with all activity instances of a case.

Potential use

Event log in which total cost information is recorded.

Assumptions

Minimizing total cost is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
case
tc
type

Equations

Formula for practitioners

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

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

Formal Definition

iinst(c)TC×(i)\sum _{i \in \mathit{inst}(c)} \mathit{TC}\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 TCsgl\mathit{TC}\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 TCsum\mathit{TC}\mathit{^{sum}}.

Tags

actinst
case
tc
type

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.cases.total_cost