The mathematical model of the formation and implementation of strategies for the development of the park of control and measuring equipment used in construction and housing and communal services is considered. As control functions, purchases, repairs and write-offs are selected. The model is based on a linear system of ordinary differential equations with constant coefficients. The system describes the dynamics of changes in the number of control and measuring equipment samples with different levels of technical excellence and technical condition. The model mainly uses algorithms based on the properties of stationary solutions of dynamic systems. Three different strategies for the development of a measuring equipment park have been considered. For each strategy, analytical and semi-analytical solutions of the stationary model are obtained. A distinctive feature of the model is its visibility and ease of use. The results of calculations are given.