I usually have very little time to get to know a group of people that I'm going to work with during my next project. Even though there probably isn't some research on how this influences productivity, personal experience tells me that good relationships with co-workers can help speed things up. It makes them feel part of the project rather than a mere replaceable tool.
I have a few strategies of my own but they're based in very little experience and they don't work all the time. I'm not looking for new friends but strategies to avoid conflicts from the root so we can focus on getting things done and move on to the next project.