  Conformance checking quantifies the deviations between a set of traces in a
given process log and a set of possible traces defined by a process model.
Current approaches mostly focus on added or missing events. Lately,
multi-perspective mining has provided means to check for conformance with time
and resource constraints encoded as data elements. This paper presents an
approach for quantifying temporal deviations in conformance checking based on
infusing the input process model with a temporal profile. The temporal profile
is calculated based on an associated process log considering task durations and
the temporal distance between events. Moreover, a simple semantic annotation on
tasks in the process model signifies their importance with respect to time.
During runtime, deviations between an event stream and the process model with
the temporal profile are quantified through a cost function for temporal
deviations. The evaluation of the approach shows that the results for two
real-world data sets from the financial and a manufacturing domain hold the
promise to improve runtime process monitoring and control capabilities.
