In the event a highway includes two (2) or more separate roadways and traffic is restricted to one (1) direction upon any such roadway, no person shall stand or park a vehicle upon the left-hand side of such one-way roadway unless signs are erected to permit standing or parking. The director, department of traffic engineering is authorized to determine when standing or parking may be permitted upon the left-hand side of any such one-way roadway and to erect signs giving notice thereof.