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Case Percentage with Missed Deadline

\mathit{CMDP}(g, \mathit{val})

Dimension:

Time

Granularity:

Group of cases

Description

Percentage of cases belonging to a group of cases whose latest event occurs after a given deadline.

Potential use

Event log is associated with a process in which cases should be completed before a defined deadline.

Assumptions

Exceeding the deadline of interest is undesired.

Desired Value:

MINIMIZE

Required attributes

actinst
case
time
type

Equations

Formula for practitioners

$\displaystyle \frac{ \sum_{c \in g} \begin{cases} 1 & \text{if } \mathit{endt}(c) > \mathit{val} \\ 0 & \text{otherwise} \end{cases} }{\mathit{C}(g)}$

$\mathit{endt}(c)$ returns the completion timestamp of case $c$ .
$\mathit{C}(g)$ returns the number of cases in group $g$ .

Formal Definition

$\frac{|\{c \in g \mid \mathit{endt}(c) > \mathit{val}\}|}{\mathit{C}(g)}$

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.time.groups.case_percentage_with_missed_deadline

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