Unwanted activity Instance count

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UIC(c)\mathit{UIC}(c)
Dimension:
Quality
Granularity:
Case

Description

Number of times that an unwanted activity is instantiated in a case.

Potential use

Event log that contains activities whose execution is unwanted.

Assumptions

Unwanted activities negatively affect the quality of the process.

Desired Value:

MINIMIZE

Required attributes

act
actinst
case
type

Equations

Formula for practitioners

iinst(c){1if act(i)Unwl0otherwise\displaystyle \sum_{i \in \mathit{inst}(c)} \begin{cases} 1 & \text{if } \mathit{act}(i) \in \mathit{Unwl} \\ 0 & \text{otherwise} \end{cases}

inst(c)\mathit{inst}(c) returns the set of all activity instances in case cc.
act(i)\mathit{act}(i) returns the activity of activity instance ii.
Unwl\mathit{Unwl} returns the set of unwanted activities.

Formal Definition

{iinst(c)act(i)Unwl}|\{i \in \mathit{inst}(c) \mid \mathit{act}(i) \in \mathit{Unwl}\}|

Tags

act
actinst
case
type

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.quality.cases.unwanted_activity_instance_count