An algorithm for optimal control of a closed labor market system at a given time interval

The ratio of supply and demand in the labor market is an important criteria for the effectiveness of the functioning of the economic system at the macro level. Improving the effectiveness of employers' personnel policy requires the development of new control tools and forecasting of dynamic labor market processes at the macro and micro levels. The problem of optimal control of the previously proposed closed labor market system is considered. The problem of optimal control of a system described by a system of nonlinear differential equations is formulated in general form.