  We use a theory of colax Reedy diagrams to show that the category of Segal
M-precategories with fixed set of objects has a model structure for a symmetric
monoidal model category M = (M,\otimes,I). What is relevant here is when M is
monoidal for a non-cartesian product. The model structure is of Reedy style and
generalizes the Reedy model structure for classical Segal M-precategories when
M is monoidal for the cartesian product. The techniques we use also generalize
the Reedy model structure for classical Reedy diagrams.
