  The exclusive queueing process (EQP) has recently been introduced as a model
for the dynamics of queues which takes into account the spatial structure of
the queue. It can be interpreted as a totally asymmetric exclusion process of
varying length. Here we investigate the case of deterministic bulk hopping p=1
which turns out to be one of the rare cases where exact nontrivial results for
the dynamical properties can be obtained. Using a time-dependent matrix product
form we calculate several dynamical properties, e.g. the density profile of the
system.
