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Total elapsed time between the earliest instantiation of a specific activity and the latest event of 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

$\begin{cases} \mathit{lt}(any (\mathit{fi}\mathit{^{s}}(c, \mathit{a}), any (\mathit{endin}(c))) & \mathit{if \ } \mathit{fi}\mathit{^{s}}(c, \mathit{a}) \neq \emptyset \\ undefined & \mathit{if \ } \mathit{fi}\mathit{^{s}}(c, \mathit{a}) = \emptyset \end{cases}$

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