PPI Repository

Number of cases in a group of cases where a specific activity occurs after a specific time frame.

Event log is associated with a process in which specific time frames must be taken into consideration.

Maximizing the number of cases where the activity occurs after the time frame is desirable.

act
actinst
case
time
type

Formula for practitioners

$\displaystyle \sum_{c \in g} \begin{cases} 1 & \text{if } \exists i \in \mathit{inst}(c, \mathit{a})[\mathit{stime}(i) \geq \mathit{et}] \\ 0 & \text{otherwise} \end{cases}$

$\mathit{inst}(c, \mathit{a})$ returns the set of all instances of activity $\mathit{a}$ in case $c$.
$\mathit{stime}(i)$ returns the start timestamp of activity instance $i$.