outcome Unit count

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U×(c)\mathit{U}\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.

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
case
type
unt

Equations

Formula for practitioners

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

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

Formal Definition

einst(c)U×(i)\sum _{e \in \mathit{inst}(c)} \mathit{U}\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 Usgl\mathit{U}\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 Usum\mathit{U}\mathit{^{sum}}.

Tags

actinst
case
type
unt

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.quality.cases.outcome_unit_count