It is common to see bag-of-tasks workflows, where the jobs have a few common inputs (executable, common db, container, ...) and then one or more unique input per job. With the current refiner, we get a bunch of stage_in jobs with the same priority. I think it would be nice to increase the priority on the jobs with common files (which can probably be detected by just looking at the fan-out of the stage in job). That means common inputs will be staged first, and give the workflow a better chance to start jobs when only a part of the unique inputs have been staged, which means better overlap of input transfers and compute jobs.