Final answer:
The Defense Logistics Agency (DLA) has a permanent member on the Installation Deployment Readiness Cell (IDRC) staff.
Step-by-step explanation:
The agency that has a permanent member on the Installation Deployment Readiness Cell (IDRC) staff is the Defense Logistics Agency (DLA). The DLA is responsible for providing logistics support to the Department of Defense. Their presence on the IDRC staff ensures the availability of essential supplies, equipment, and support services for deployment readiness.