  Researchers who study object movement problems related to topics like traffic
flow analysis, patient monitoring, and software operation, need to know the
correct order in which objects move. Here, we use the term trail to refer to a
series of movements by an object. This paper introduces a new missing data
problem that occurs when analyzing trails where there is inadequate temporal
resolution on the events. The temporal resolution is inadequate when an object,
which can only be in one place at one time, appears in the data to be in two or
more locations at once. We refer to this lack of resolution as a broken point.
Broken points prevent us from knowing the correct order of movement. We propose
a three-phase framework for recovering the location order. Based on the Markov
transition network, we are able to find the route with the highest probability.
Our results show that this framework can efficiently find the correct location
order in trails with low temporal resolution. We also demonstrate that by
correcting the location order, the criticality of locations can change
significantly.
