Reassign unassigned conversations that come in while no one is Available

Today, I’m having to manually assign conversations that come in after business hours.  My expectation was that these conversations would auto-assign once agents logged on and set their statuses to Available upon the start of their shift.  How have y’all solved for re-queueing the assignment engine to run on unassigned conversations?  Would this fall under a time-based action that would require a Workflow?

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