Which firewall architecture uses two NICs with a screening router inserted between the host and the untrusted network?

Deep packet inspection is a traffic inspection technique, not a firewall architecture defined by the number of NICs or placement of a screening router.

Packet hosting is not a recognized standard firewall architecture in security frameworks.

A screened host firewall architecture uses a screening router to filter traffic from the untrusted network before it reaches a dual-homed bastion host with two NICs. The router performs packet filtering as the first line of defense, and the bastion host enforces application-layer policies as the second layer. This design separates the untrusted external network from the internal trusted network using both router and host-based controls.

Packet filtering describes a method of traffic inspection performed by routers or firewalls, not a specific architectural topology involving dual NICs and a bastion host.