Do you mean that you want to make issues move through the workflow if they meet some timing criteria (like "in status of "open" and have not been updated for 4 days")?
The standard answer here is to use Jelly Escalation type scripts to do that. See https://confluence.atlassian.com/display/JIRA/Jelly+Escalation
If I have misunderstood the requirement though, could you explain it differently?
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