PPI Repository

Sum of time periods in which no activity instance is executed during a case.

Event log that contains lifecycle information for activity instances in which the time the case is inactive is of interest.

Minimizing idle time is desirable.

actinst
case
time
type

Formula for practitioners

$\sum_{i \in \mathit{inst}(c)} \begin{cases} \frac{\mathit{WT}(i)}{|\mathit{concstr}(i)|} & \text{if } \mathit{prevstr}(i) = \emptyset \\ 0 & \text{if } \mathit{prevstr}(i) \neq \emptyset \end{cases}$

$\mathit{inst}(c)$ returns the set of activity instances that occur in case $c$.
$\mathit{WT}(i)$ returns the waiting time of activity instance $i$.
$\mathit{concstr}(i)$ returns the set of concurrent structures (parallel branches) related to instance $i$.
$\mathit{prevstr}(i)$ returns the preceding structure of activity instance $i$.