  A family of boundary conditions corresponding to exclusion processes is
introduced. This family is a generalization of the boundary conditions
corresponding to the simple exclusion process, the drop-push model, and the
one-parameter solvable family of pushing processes with certain rates on the
continuum [1-3]. The conditional probabilities are calculated using the Bethe
ansatz, and it is shown that at large times they behave like the corresponding
conditional probabilities of the family of diffusion-pushing processes
introduced in [1-3].
