Automated Activity Service Time

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AutST(c)\mathit{AutST}(c)
Dimension:
Time
Granularity:
Case

Description

Sum of the service time of all instantiations of automated activities in a case.

Potential use

Event log that contains automated activities and lifecycle information for activity instances.

Assumptions

Minimizing service time is desirable.

Desired Value:

MINIMIZE

Required attributes

act
actinst
case
time
type

Equations

Formula for practitioners

iinst(c),act(i)AutlST(i)\sum_{i \in \mathit{inst}(c),\, \mathit{act}(i) \in \mathit{Autl}} \mathit{ST}(i)

inst(c)\mathit{inst}(c) returns the set of activity instances that occur in case cc.
act(i)\mathit{act}(i) returns the activity associated with activity instance ii.
Autl\mathit{Autl} denotes the set of automated activities.
ST(i)\mathit{ST}(i) returns the service time of activity instance ii.

Formal Definition

iinst(c),act(i)AutlST(i)\sum _{i \in \mathit{inst}(c), \mathit{act}(i) \in \mathit{Autl}} \mathit{ST}(i)

Tags

act
actinst
case
time
type

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.time.cases.automated_activity_service_time