run out vs overrun

run out is not a noun while overrun is a noun.

Word	Noun	Adjective	Verb	Adverb
run out	No	No	Yes	No
overrun	Yes	No	Yes	No

As verbs, overrun is a hyponym of run out; that is, overrun is a word with a more specific, narrower meaning than run out:

Other hyponyms of run out include brim over, overflow, run over, well over.

run out (noun)	overrun (noun)
	too much production or more than expected

run out (verb)	overrun (verb)
use up all one's strength and energy and stop working	run beyond or past
prove insufficient	seize the position of and defeat
exhaust the supply of	flow or run over (a limit or brim)
become used up; be exhausted	invade in great numbers
flow, run or fall out and become lost	occupy in large numbers or live on a host
flow off gradually
leave suddenly and as if in a hurry
lose validity