The superintendent or director of any state-operated facility within the Department of Mental Health and Addiction Services, subject to the approval of the Commissioner of Mental Health and Addiction Services and the Office of the State Traffic Administration, may: (1) Prohibit, limit, restrict or regulate the parking of vehicles; (2) determine speed limits; (3) install stop signs; (4) restrict roads or portions thereof to one-way traffic; (5) designate the location of crosswalks on any portion of any road or highway upon the grounds of the respective facilities; and (6) erect and maintain signs designating such prohibitions or restrictions. Agency police appointed to act as state policemen on the grounds of state-operated facilities under the provisions of § 29-18 may arrest or issue summons for violation of such restrictions or prohibitions. Any person who fails to comply with any such prohibition or restriction shall be fined not more than twenty-five dollars, and the court or traffic or parking authority having jurisdiction of traffic or parking violations in the town in which such facility is located shall have jurisdiction over violations of this section.