activity Instance count

View in library docs
I(g)\mathit{I}(g)
Dimension:
Time
Granularity:
Group of cases

Description

Number of times that any activity is instantiated in a group of cases.

Potential use

If the event log does not contain timestamps, activity Instance count can be used as a proxy for the time performance of a group of cases.

Assumptions

A greater number of activity instances implies that the cases in a group of cases take longer to complete.

Desired Value:

MINIMIZE

Required attributes

actinst
case

Equations

Formula for practitioners

ccases(g)I(c)\sum_{c \in \mathit{cases}(g)} \mathit{I}(c)

cases(g)\mathit{cases}(g) returns the set of cases in group of cases gg.
I(c)\mathit{I}(c) returns the activity instance count of case cc.

Formal Definition

cgI(c)\sum _{c \in g} \mathit{I}(c)

Tags

actinst
case

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.time.groups.activity_instance_count