I run many PBS scripts that take advantage of the job array structure for similar jobs (e.g. 12345 through 12345). With the way that the code is written, job  needs to run first, and then any other job can start. Preferably, the jobs would run in numerically increasing order.
When I submit an array of jobs, they all have the same priority and queue time, but are listed in a random order. I don't have the permissions to change the priority once a job is submitted (AFAIK), so I am looking for a solution during the job submission.