PPI Repository

Expected total elapsed time between the earliest instantiation of a specific activity and the latest activity event of a case belonging to a group of cases.

Event log is associated with a process in which the total elapsed time of a specific subprocess is of relevance.

Minimizing lead time is desirable.

act
actinst
case
time
type

Formula for practitioners

$\frac{\sum _{c \in g} \begin{cases} \mathit{LTfA}(c, \mathit{a}) & \mathit{if \ } \mathit{fi}\mathit{^{s}}(c, \mathit{a}) \neq \emptyset \\ 0 & \mathit{if \ } \mathit{fi}\mathit{^{s}}(c, \mathit{a}) = \emptyset \end{cases}}{ \sum_{c \in \mathit{cases}(g)} \begin{cases} 1 & \text{if } \mathit{fi}\mathit{^{s}}(c, \mathit{a}) \neq \emptyset \\ 0 & \text{otherwise} \end{cases} }$

$\mathit{fi}\mathit{^{s}}(c, \mathit{a})$ returns the set of first started instances of activity $\mathit{a}$ in case $c$.
$\mathit{LTfA}(c, \mathit{a})$ returns the lead time from the first started instance of activity $\mathit{a}$ in case $c$ to the end of case $c$.