TITLE: Do homotopy colimits always commute with homotopy colimits?
QUESTION [8 upvotes]: Do homotopy colimits commute with homotopy colimits? The setting I am thinking of is that of a triangulated category with a model, but it would be interesting to have more general answers as well. A good reference would also be appreciated.

REPLY [8 votes]: Yes.  See theorem 24.9 of this paper.  Here's a somewhat less abstract reference.