Models of enterprise headcount management using dynamic programming method

The paper is devoted to the enterprise headcount management problem, taking into account the uncertainty of business and the uncertainty of employee turnover (dismissal and hiring processes). Problem is stated in three ways, each reflecting the specific business management practice: the stationary and non-stationary management assumptions concerning business development, and the case with minimum a priori information that requires robust solutions. The method of dynamic programming with probabilistic and interval uncertainty models is applied to obtain an analytical solution. The absence of additional assumptions about the properties of business uncertainty and traffic of employees (others than the limits of acceptable values ranges) provides the robustness of obtained analytical solution of interval task and significantly enhances its practical value.