When the Court instituted its vacant judgeship procedures following Judge Stark's elevation to the Federal Circuit, the implementing order included procedures to keep cases moving if the parties do not consent to a magistrate judge to hear the case.
For example, the order directs parties to hold a Rule 26(f) conference within seven days of notifying the Court that the parties would not consent to a magistrate judge:
The parties shall cooperate in good faith to move the case forward. To that end, within seven days of filing the notice that the parties would not consent to a Magistrate Judge, the parties shall hold a Rule 26(f) …