  Within the Matrix Product Formalism we have already introduced a multi-
species exclusion process in which different particles hop with different rates
and fast particles stochastically overtake slow ones. In this letter we show
that on an open chain, the master equation of this process can be exactly
solved via the coordinate Bethe ansatz. It is shown that the N-body S-matrix of
this process is factorized into a product of two-body S-matrices, which in turn
satisfy the quantum Yang-Baxter equation (QYBE). This solution is to our
knowledge, a new solution of QYBE.
