The division shall assign the arbitrator for a particular case by selecting the next name after the previous case’s selection in consecutive order. The division may not change the order of names once the order is established under this subchapter, except that once each arbitrator on the list has been assigned to a case, the names shall be randomly reordered.

Acts 1993, 73rd Leg., ch. 269, § 1, eff. Sept. 1, 1993. Amended by Acts 2005, 79th Leg., ch. 265, § 3.169, eff. Sept. 1, 2005.