Successful outcome Unit Count

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SUC×(c)\mathit{SUC}\mathit{^{\times}}(c)
×{sgl,sum}\mathit{\times} \in \{\mathit{sgl}, \mathit{sum}\}
Dimension:
Quality
Granularity:
Case

Description

Outcome units associated with all activity instances in a case, after deducting those that were unsuccessfully completed.

Potential use

Process where the outcome of activity instances, as well as whether they are successful or not, can be measured.

Assumptions

Maximizing the number of successful outcome units is desirable.

Desired Value:

MAXIMIZE

Required attributes

actinst
case
type
uns
unt

Equations

Formula for practitioners

iinst(c)SUC(i)\sum _{i \in \mathit{inst}(c)} \mathit{SUC}(i)

inst(c)\mathit{inst}(c) returns the set of all activity instances in case cc.
SUC(i)\mathit{SUC}(i) returns the successful outcome unit count of activity instance ii.

Formal Definition

iinst(c)SUC×(i)\sum _{i \in \mathit{inst}(c)} \mathit{SUC}\mathit{^{\times}}(i)
The ×\mathit{\times} indicates that the PPI can take multiple forms, in this case, ×{sgl,sum}\mathit{\times} \in \{\mathit{sgl}, \mathit{sum}\}. If ×=sgl\mathit{\times} = \mathit{sgl}, then the function considers single events of activity instances for outcome unit calculations, i.e., it uses SUCsgl\mathit{SUC}\mathit{^{sgl}}; if ×=sum\mathit{\times} = \mathit{sum}, then the function considers the sum of all events of activity instances for outcome unit calculations, i.e., it uses SUCsum\mathit{SUC}\mathit{^{sum}}.

Tags

actinst
case
type
uns
unt

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.quality.cases.successful_outcome_unit_count