Step 1: We are restricted to the non depolarizing class and asked for the briefest acting member. Duration depends largely on how fast the body clears the drug.
Step 2: Mivacurium stands out because it is broken down by plasma pseudocholinesterase, the same enzyme that destroys succinylcholine. This metabolic clearance gives it the shortest action among competitive blockers.
Step 3: Comparing the rest: doxacurium and pipecuronium are long acting, and vecuronium is intermediate acting, so none are shorter than mivacurium. Succinylcholine is shorter still but is depolarizing and therefore excluded here.
\[\boxed{\text{Mivacurium}}\]