It would be nice to have a Schedule or a process easily run again with right click -> start again. The question is if the same parameters should be used again or a pop-up window to provide new ones should appear. I guess it would not harm to have a pop-up window pre-filled with the previous values.
Something similar for Schedules, but the additional info to which schedule the executed process belongs to would be nice (having a column with the Schedule name would be a great improvement regardless of the re-run feature).
Sometimes, in our cases often, the process fails because of a minor issue that can be resolved quickly and the process can run again.
In an environment with lots of groups, process, resources, ... it is a little cumbersome to do exactly the same steps again just to start the exact same process.