I'm not sure if this would work but perhaps you could use a job submission 
filter to enforce a minimum runtime? Here's a sample lua submission filter: 
https://github.com/SchedMD/slurm/blob/master/contribs/lua/job_submit.lua. I do 
think it would be better, though, to try and fix the cause of the issue as Moe 
suggested. 

Sent from my iPhone

> On Jan 26, 2014, at 6:28 PM, Paul Edmon <[email protected]> wrote:
> 
> 
> So I've found that if some one submits a ton of jobs that have a very short 
> runtime slurm tends to trash as jobs are launching and exiting pretty much 
> constantly.  Is there an easy way to enforce a minimum runtime?
> 
> -Paul Edmon-

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