  This paper is devoted to the problem of sample path large deviations for the
Markov processes on R_+^N having a constant but different transition mechanism
on each boundary set {x:x_i=0 for i\notin\Lambda, x_i>0 for i\in\Lambda}. The
global sample path large deviation principle and an integral representation of
the rate function are derived from local large deviation estimates. Our results
complete the proof of Dupuis and Ellis of the sample path large deviation
principle for Markov processes describing a general class of queueing networks.
