Case Count where start activity is A

View in library docs
CstartAC(g,a)\mathit{CstartAC}(g, \mathit{a})
Dimension:
Quality
Granularity:
Group of cases

Description

Number of cases in a group of cases where a specific activity is the first one to be instantiated it.

Potential use

Process is expected to start with specific activities.

Assumptions

Maximizing the number of cases that start with the specific activity is desirable.

Desired Value:

MAXIMIZE

Required attributes

act
actinst
case
type

Equations

Formula for practitioners

cg{1if istrin(c)[act(i)=a]0otherwise\displaystyle \sum_{c \in g} \begin{cases} 1 & \text{if } \exists i \in \mathit{strin}(c)[\mathit{act}(i) = \mathit{a}] \\ 0 & \text{otherwise} \end{cases}

strin(c)\mathit{strin}(c) returns the set of first activity instances in case cc.
act(i)\mathit{act}(i) returns the activity of activity instance ii.

Formal Definition

{cgistrin(c)[act(i)=a]}|\{c \in g \mid \exists i \in \mathit{strin}(c)[\mathit{act}(i) = \mathit{a}]\}|

Tags

act
actinst
case
type

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.quality.groups.case_count_where_start_activity_is_a