outcome Unit count considering single events of activity instances

View in library docs
Usgl(i)\mathit{U}\mathit{^{sgl}}(i)
Dimension:
Quality
Granularity:
Activity instance

Description

Outcome units associated with an activity instance, measured as the latest recorded value among the events of the activity instance.

Potential use

Process where the outcome of activity instances can be measured.

Assumptions

Maximizing outcome unit count is desirable.

Desired Value:

MAXIMIZE

Required attributes

actinst
type
unt

Equations

Formula for practitioners

{#unt(cpl(i))if #unt(cpl(i))undefined#unt(str(i))if #unt(cpl(i))=undefined#unt(str(i))undefinedundefinedif #unt(cpl(i))=undefined#unt(str(i))=undefined\begin{cases} \#^{}_{\mathit{unt}}(\mathit{cpl}(i)) & \mathit{if \ } \#^{}_{\mathit{unt}}(\mathit{cpl}(i)) \neq undefined \\ \#^{}_{\mathit{unt}}(\mathit{str}(i)) & \mathit{if \ } \#^{}_{\mathit{unt}}(\mathit{cpl}(i)) = undefined \land \#^{}_{\mathit{unt}}(\mathit{str}(i)) \neq undefined \\ undefined & \mathit{if \ } \#^{}_{\mathit{unt}}(\mathit{cpl}(i)) = undefined \land \#^{}_{\mathit{unt}}(\mathit{str}(i)) = undefined \\ \end{cases}

#unt\#^{}_{\mathit{unt}} returns the outcome unit count associated with an event.
cpl(i)\mathit{cpl}(i) returns the completion event of activity instance ii.
str(i)\mathit{str}(i) returns the start event of activity instance ii.

Formal Definition

{#unt(cpl(i))if #unt(cpl(i))#unt(str(i))if #unt(cpl(i))=#unt(str(i))if #unt(cpl(i))=#unt(str(i))=\begin{cases} \#^{}_{\mathit{unt}}(\mathit{cpl}(i)) & \mathit{if \ } \#^{}_{\mathit{unt}}(\mathit{cpl}(i)) \neq \bot \\ \#^{}_{\mathit{unt}}(\mathit{str}(i)) & \mathit{if \ } \#^{}_{\mathit{unt}}(\mathit{cpl}(i)) = \bot \land \\ & \#^{}_{\mathit{unt}}(\mathit{str}(i)) \neq \bot \\ \bot & \mathit{if \ } \#^{}_{\mathit{unt}}(\mathit{cpl}(i)) = \bot \land \\ & \#^{}_{\mathit{unt}}(\mathit{str}(i)) = \bot \\ \end{cases}

Tags

actinst
type
unt

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.quality.instances.outcome_unit_count_for_single_events_of_activity_instances