Mattias,
I ran into the same problem when I was using our local cluster. I ended up setting up batch files setting the random number in each mainparam file (by generating random numbers myself). I didn't do it at the time because I hadn't learned R yet, but I think it could be relatively easy to create the files in R if you need to. I would try Vikram's suggestions first, and if that doesn't work, try setting up a few of your own files. Note: as long as the numbers are different from one another, it shouldn't be a problem. My problem was that they all started at the same time, and therefore, within a given K, all of the results were the same. It was really obvious this was the case, so if you're getting variation, you should probably be fine.
Julie