PPI Repository

Directly-Follows Relations count

\mathit{DFR}(a)

Dimension:

Flexibility

Granularity:

Activity

Description

Number of activities that have been instantiated directly after the activity of interest in the event log.

Potential use

Process where several distinct directly-follows relations can occur.

Assumptions

A greater number of directly-follows relations is desirable, as it implies a greater capability to address unexpected situations.

Desired Value:

MAXIMIZE

Required attributes

act
actinst
case
type

Equations

Formula for practitioners

$\sum_{a \in \mathit{act}(a)} \mathit{dfrel}(a)$

$\mathit{inst}(a)$ returns the set of all instances of activity $a$ .
$\mathit{dfrel}(a)$ returns the set of activities that directly follow activity $a$ in any case.

Formal Definition

$|\cup_{i \in \mathit{inst}(a)} \{\mathit{act}(i') \mid i' \in \mathit{next}(i)\}|$

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.flexibility.activities.directly_follows_relations_count

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