PPI Repository

Total elapsed time between the earliest event and the earliest instantiation of a specific activity in a case.

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

$\begin{cases} \mathit{lt}(x, y) & \mathit{for~any \ } x \in \mathit{strin}(c) \mathit{\ and \ } y \in \mathit{fi}\mathit{^{c}}(c, \mathit{a}) \\ undefined & \mathit{if \ } \mathit{fi}\mathit{^{c}}(c, \mathit{a}) = \emptyset \end{cases}$

$\mathit{strin}(c)$ returns the activity instance that starts case $c$.
$\mathit{fi}\mathit{^{c}}(c, \mathit{a})$ returns the first completed instance of activity $\mathit{a}$ in case $c$.
$\mathit{lt}(x, y)$ returns the lead time between activity instances $x$ and $y$.