How many Burkes sustain a Hormuz surface force?

How many Arleigh Burke-class destroyers would be needed to sustain four on station in the Strait of Hormuz?

About sixteen, once relief, replenishment, and transit rotations are included.

Keeping four Arleigh Burkes operating in the Strait of Hormuz would require roughly sixteen ships in the rotation. The other twelve cover immediate relief, missile and stores replenishment, and transit back to station, showing why persistent presence costs far more hulls than the visible force.