Actually I find it more interesting to know when a commutative ring whose all localizations are Noetherian is itself Noetherian. The paper of Heinzer and Ohm invoked by Ralph gives such conditions, but there is another one, much more famous, found by Nagata in order to help him to build an example of Noetherian ring with infnite infinite Krull dimension. Nagata's result is the following
Let $R$ be a commutative ring such that $R_m$ is Noetherian for all $m\in\operatorname{Max}(R)$. If every non-zero element of $R$ belong to finitely many maximal ideals, then $R$ is Noetherian.
