The Connecticut Court Annexed ADR Program cites this statute as the legal authority for many of the court's ADR programs. It states that the Chief Court Administrator is responsible for "the efficient operation of the department, the prompt disposition of cases and the prompt and proper administration of judicial business."
Connecticut Statute Title 51, Chap. 870, Sec. 51-5a: Duties and powers of Chief Court Administrator
Connecticut General Assembly. Jan. 1, 2019https://www.cga.ct.gov/current/pub/title_51.htm