The problem of optimal control of the parameters of the production flow line - stocks (work in process) and the rate of processing of objects of labour for a technological operation is considered. The article presents a mathematical formulation of the problem of controlling the parameters of a production line with restrictions on work in progress and the speed of machining parts for each technological operation. The control program is determined by the specified quality criteria. An example of the calculation of the optimal control for the production line parameters is presented