  In this paper we establish strong embedding theorems, in the sense of the
Komlos-Major-Tusnady framework, for the performance metrics of a general class
of transitory queueing models of nonstationary queueing systems. The
nonstationary and non-Markovian nature of these models makes the computation of
performance metrics hard. The strong embeddings yield error bounds on sample
path approximations by diffusion processes, in the form of functional strong
approximation theorems.
